case study

problem solving mixed fraction

Adding and Subtracting Mixed Fractions

A Mixed Fraction is a whole number and a fraction combined:

To make it easy to add and subtract them, just convert to Improper Fractions first:

An Improper fraction has a top number larger than or equal to the bottom number:

Can you see that 1 3 4 is the same as 7 4 ?

In other words "one and three quarters" is the same as "seven quarters".

(You may like to read how to Convert from or to Mixed Fractions )

Adding Mixed Fractions

To add mixed fractions:

Example: What is  2 3 4  +  3 1 2   ?

Convert to Improper Fractions:

2 3 4  =  11 4

3 1 2  =  7 2

Common denominator of 4:

11 4  stays as  11 4

7 2  becomes  14 4 (by multiplying top and bottom by 2)

11 4  +  14 4  =  25 4

Convert back to Mixed Fractions:

25 4  =  6 1 4

When you get more experience you can do it faster like this example:

Example: What is  3 5 8  +  1 3 4

Convert them to improper fractions:

3 5 8  =  29 8 1 3 4  =  7 4

Make same denominator:  7 4  becomes  14 8  (by multiplying top and bottom by 2)

29 8  +  14 8  =  43 8  =  5 3 8

Subtracting Mixed Fractions

Just follow the same method, but subtract instead of add:

Example: What is  15 3 4  −  8 5 6  ?

15 3 4  =  63 4

8 5 6  =  53 6

Common denominator of 12:

63 4  becomes  189 12

53 6  becomes  106 12

Now Subtract:

189 12  −  106 12  =  83 12

83 12  =  6 11 12

Home

Reading & Math for K-5

Breadcrumbs

Math Workbooks for Grade 5

Download & Print From only $2.60

Fractions: mixed operations

Fraction word problems with the 4 operations.

These word problems involve the 4 basic operations ( addition, subtraction, multiplication and division ) on fractions .  Mixing word problems encourages students to read and think about the questions, rather than simply recognizing a pattern to the solutions.  

problem solving mixed fraction

These worksheets are available to members only.

Join K5 to save time, skip ads and access more content. Learn More

More word problem worksheets

Explore all of our math word problem worksheets , from kindergarten through grade 5.

What is K5?

K5 Learning offers free worksheets , flashcards  and inexpensive  workbooks  for kids in kindergarten to grade 5. Become a member  to access additional content and skip ads.

problem solving mixed fraction

Our members helped us give away millions of worksheets last year.

We provide free educational materials to parents and teachers in over 100 countries. If you can, please consider purchasing a membership ($24/year) to support our efforts.

Members skip ads and access exclusive features.

Learn about member benefits

This content is available to members only.

Mixed Fractions Worksheets

A mixed fraction is a fraction, but it consists of two parts: an integer part and a right fractional part. In math, the mixer forms mixed fractions from a pure fraction with one or more whole quantities. If an appropriate fraction is added to a total amount, then the quantity becomes a fraction. Therefore, the fractions are called mixed fractions.

Benefits of Mixed Fractions Worksheets

Cuemath's interactive math worksheets consist of visual simulations to help your child visualize the concepts being taught, i.e., "see things in action and reinforce learning from it." The Mixed fractions worksheets follow a step-by-step learning process that helps students better understand concepts, recognize mistakes, and possibly develop a strategy to tackle future problems.

Download Mixed Fractions Worksheet PDFs

These math worksheets should be practiced regularly and are free to download in PDF formats.

☛ Check Grade wise Mixed Fractions Worksheets

WORD PROBLEMS ON MIXED FRACTIONS

Problem 1 :

Linda walked 2 ⅓  miles on the first day and 3 ⅖  miles on the next day. How many miles did she walk in all?

Total no. of miles she walked is

=  2 ⅓  +  3 ⅖

In the above mixed fractions, we have the denominators 3 and 5.

LCM of (3, 5) = 15.

To simplify the above expression, we have to make the denominators of both the mixed fractions to be 15.

Then, we have

2 ⅓  +  3 ⅖   = 2 ⁵⁄₁₅  + 3 ⁶⁄₁₅

By regrouping, we have

= (2 + 3) + ( ⁵⁄₁₅  + ⁶⁄₁₅ )

= 5 +  ¹¹⁄₁₅

So, Linda walked  5 ¹¹⁄₁₅  miles in all.

Problem 2 :

David ate 2 ⅐  pizzas and he gave 1 ³⁄₁₄    pizzas to his mother. How many pizzas did David have initially?

No. of pizzas he had initially is

= 2 ⅐  + 1 ³⁄₁₄

= 2 ²⁄₁₄  + 1 ³⁄₁₄

= (2 + 1) + ( ²⁄₁₄  + ³⁄₁₄ )

= 3 +  ⁵⁄₁₄

So, initially David had  3 ⁵⁄₁₄  pizzas.

Problem 3 :

Mr. A has 3 ⅔  acres of land. He gave 1 ¼  acres of land to his friend. How many acres of land does Mr. A have now?

Now, no. of acres of land that Mr. A has

= 3 ⅔  - 1 ¼

In the above mixed fractions, we have the denominators 3 and 4.

LCM of (3, 4) = 12.

To simplify the above expression, we have to make the denominators of both the mixed fractions to be 12.

3 ⅔  - 1 ¼  = 3 ⁸⁄₁₂  - 1 ³⁄₁₂

= (3 - 1) + ( ⁸⁄₁₂  - ³⁄₁₂ )

= 2 +  ⁵⁄₁₂

Now, Mr. A has  2 ⁵⁄₁₂  acres of land.

Problem 4 :

Lily added 3 ⅓  cups of walnuts to a batch of trail mix. Later she added 1 ⅓  cups of almonds. How many cups of nuts did Lily put in the trail mix in all?

No. of cups of nuts that Lily put in all is

= 3 ⅓  + 1 ⅓

= (3 + 1) + ( 3 ⅓  + 1 ⅓ )

= 4 +  ⅔

So, Lily put 4 ⅔  cups of nuts in all.

Problem 5 :

In the first hockey games of the year, Rodayo played 1 ½  periods and 1 ¾  periods. How many periods in all did he play?

No. of periods in all he played is

= 1 ½  + 1 ¾

= 1 ²⁄₄  + 1 ¾

= (1 + 1) + ( 1 ²⁄₄  + 1 ¾ )

= 2 +  ⁵⁄₄

= 2 + (1 +  ¼ )

= (2 + 1) +  ¼

So,  Rodayo played  3 ¼  periods in all.

Problem 6 :

A bag can hold 1 ½  pounds of flour. If Mimi has 7 ½  pounds of flour, then how many bags of flour can Mimi make ?

No. of bags = Total no. of lbs./No of lbs. per bag

Because, we use division, we have to convert the given mixed numbers into improper fractions.

Total no. of pounds of flour is

No. of pounds per bag is

Then,  we have

Number of bags = (15/2)  ÷  (3/2)

= (15/2)  ⋅  (2/3)

So, the number of bags that Mimi can make is 5.

Problem 7 :

Jack and John went fishing Jack caught 3 ¾  kg of fish and while John  caught 2 ⅕  kg of fish. What is the total weight of the fish they caught?

Total weight of the fish they caught is

=  3 ¾  +  2 ⅕

In the above mixed fractions, we have the denominators 4 and 5.

L.C.M of (4, 5) = 20.

To simplify the above expression, we have to make the denominators of both the mixed fractions to be 20.

3 ¾  +  2 ⅕  = 3 ¹⁵⁄₂₀  + 2 ⁴⁄₂₀

= (3 + 2) + ( ¹⁵⁄₂₀  + ⁴⁄₂₀ )

= 5 +  ¹⁹⁄₂₀

So, the total weight of the fish they caught is  5 ¹⁹⁄₂₀  kg.

Problem 8 :

Amy has 3 ½  bottles in her refrigerator. She used  ⅗ bottle  in the morning 1 ¼  bottle in the afternoon. How many bottles of milk does Amy have left over?

No. of bottles of milk used is

=  ⅗  +  1 ¼

In the above mixed fractions, we have the denominators 5 and 4.

L.C.M of (5, 4) = 20.

⅗  + 1 1 ¼  =  ¹²⁄₂₀  + 1 ⁵⁄₂₀

= 1 + ( ¹²⁄₂₀  + ⁵⁄₂₀ )

= 1 +  ¹⁷⁄₂₀

So, no. of bottles of milk used is  1 ¹⁷⁄₂₀ .

No. of bottles remaining is

= 3 ½  - 1 ¹⁷⁄₂₀

= 3 ¹⁰⁄₂₀  - 1 ¹⁷⁄₂₀

(Numerator of the first fraction is smaller than the second. In subtraction of mixed fractions, always the numerator of the first fraction to be greater)

= (3 +  ¹⁰⁄₂₀ ) - 1 ¹⁷⁄₂₀

= (2 + 1 +  ¹⁰⁄₂₀ ) - 1 ¹⁷⁄₂₀

= (2 +  ²⁰⁄₂₀  +  ¹⁰⁄₂₀ ) - 1 ¹⁷⁄₂₀

= (2 +  ³⁰⁄₂₀ ) - 1 ¹⁷⁄₂₀

= 2 ³⁰⁄₂₀  - 1 ¹⁷⁄₂₀

= (2 - 1) + ( ³⁰⁄₂₀  -  ¹⁷⁄₂₀ )

= 1 +  ¹³⁄₂₀

So,  1 ¹³⁄₂₀   bottles of milk Amy has left over.

Problem 9 :

A tank has 82 ¾  liters of water. 24 ⅘  liters of water were used and the tank was filled with another 18 3/4 liters. What is the final volume of the water in the tank?

Initially, the tank has 82 ¾  liters.

24 ⅘  liters were used -----> Subtract

The tank was filled with another 18 ¾  liters -----> Add

Then, the final volume of the water in tank is

= 82 ¾  - 24 ⅘  + 18 ¾

= 82 ¹⁵⁄₂₀  - 24 ¹⁶⁄₂₀  + 18 ¹⁵⁄₂₀

= (82 - 24 + 18) + ( ¹⁵⁄₂₀  - ¹⁶⁄₂₀  + ¹⁵⁄₂₀ )

= 76 +  ¹⁴⁄₂₀

=  76 +  ⁷⁄₁₀

So, the final volume of water in the tank is 76 ⁷⁄₁₀  liters.

Problem 10 :

A trader prepared 21 ½  liters of lemonade. At the end of the day he had 2 ⅝  liters left over. How many liters of lemonade was sold by the Trader?

Initial stock of lemonade is  21 ½  liters.

Closing stock is  2 ⅝  liters.

No. of liters sold = Initial stock - closing stock

No. of liters sold =  21 ½  -  2 ⅝

No. of liters sold = 21 ⁴⁄₈  -  2 ⅝

(Numerator of the first fraction is smaller than the second. In subtraction of mixed fraction, always the numerator of the fraction to be greater)

No. of liters sold = (21 +  ⁴⁄₈ ) - 2 ⅝

= (20 + 1 +  ⁴⁄₈ ) - 2 ⅝

= (20 +  ⁸⁄₈  +  ⁴⁄₈ ) - 2 ⅝

= (20 +  ¹²⁄₈ ) - 2 ⅝

= 20 ¹²⁄₈  - 2 ⅝

= (20 - 2) + ( ¹²⁄₈  - ⅝ )

= 18 +  ⅞

So,  18 ⅞  liters of lemonade was sold by the Trader.

Kindly mail your feedback to   [email protected]

We always appreciate your feedback.

© All rights reserved. onlinemath4all.com

Recent Articles

How to solve word problems with rational equations.

Mar 05, 23 10:00 PM

How to Solve Rational Equations

Mar 05, 23 07:14 PM

Graphing Linear Equations in Slope Intercept Form Worksheet

Mar 02, 23 05:09 PM

tutoring.png

new-head-mglogo.png

Sign Up For Our FREE Newsletter!

By signing up, you agree to receive useful information and to our privacy policy

Search form

Solving word problems by adding and subtracting fractions and mixed numbers, learn how to solve fraction word problems with examples and interactive exercises.

Example 1: Rachel rode her bike for one-fifth of a mile on Monday and two-fifths of a mile on Tuesday. How many miles did she ride altogether?

Analysis: To solve this problem, we will add two fractions with like denominators.

Answer: Rachel rode her bike for three-fifths of a mile altogether.

Analysis: To solve this problem, we will subtract two fractions with unlike denominators.

Answer: Stefanie swam one-third of a lap farther in the morning.

Analysis: To solve this problem, we will add three fractions with unlike denominators. Note that the first is an improper fraction.

Answer: It took Nick three and one-fourth hours to complete his homework altogether.

Pizza

Analysis: To solve this problem, we will add two mixed numbers, with the fractional parts having like denominators.

Answer: Diego and his friends ate six pizzas in all.

Analysis: To solve this problem, we will subtract two mixed numbers, with the fractional parts having like denominators.

Answer: The Cocozzelli family took one-half more days to drive home.

Analysis: To solve this problem, we will add two mixed numbers, with the fractional parts having unlike denominators.

Answer: The warehouse has 21 and one-half meters of tape in all.

Analysis: To solve this problem, we will subtract two mixed numbers, with the fractional parts having unlike denominators.

Answer: The electrician needs to cut 13 sixteenths cm of wire.

Analysis: To solve this problem, we will subtract a mixed number from a whole number.

Answer: The carpenter needs to cut four and seven-twelfths feet of wood.

Summary: In this lesson we learned how to solve word problems involving addition and subtraction of fractions and mixed numbers. We used the following skills to solve these problems: 

Directions: Subtract the mixed numbers in each exercise below.  Be sure to simplify your result, if necessary.  Click once in an ANSWER BOX and type in your answer; then click ENTER. After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. To start over, click CLEAR.

Note: To write the fraction three-fourths, enter 3/4 into the form. To write the mixed number four and two-thirds, enter 4, a space, and then 2/3 into the form.

Math Goodies CD

Featured Sites:

EducationWorld

Math Award Certificates

Free math worksheets, charts and calculators

problem solving mixed fraction

Home / United States / Math Classes / 5th Grade Math / Problem Solving using Fractions

Problem Solving using Fractions

Fractions are numbers that exist between whole numbers. We get fractions when we divide whole numbers into equal parts. Here we will learn to solve some real-life problems using fractions. ...Read More Read Less

Table of Contents

problem solving mixed fraction

What are Fractions?

Types of fractions.

Solved Examples

Equal parts of a whole or a collection of things are represented by fractions . In other words a fraction is a part or a portion of the whole. When we divide something into equal pieces, each part becomes a fraction of the whole.

For example in the given figure, one pizza represents a whole. When cut into 2 equal parts, each part is half of the whole, that can be represented by the fraction  \(\frac{1}{2}\) . 

Similarly, if it is divided into 4 equal parts, then each part is one fourth of the whole, that can be represented by the fraction \(\frac{1}{4}\) .

new1

Proper fractions

A fraction in which the numerator is less than the denominator value is called a  proper fraction.

For example ,  \(\frac{3}{4}\) ,  \(\frac{5}{7}\) ,  \(\frac{3}{8}\)   are proper fractions.

Improper fractions 

A fraction with the numerator higher than or equal to the denominator is called an improper fraction .

Eg \(\frac{9}{4}\) ,  \(\frac{8}{8}\) ,  \(\frac{9}{4}\)   are examples of improper fractions.

Mixed fractions

A mixed number or a mixed fraction is a type of fraction which is a combination of both a whole number and a proper fraction.

We express improper fractions as mixed numbers.

For example ,  5\(\frac{1}{3}\) ,  1\(\frac{4}{9}\) ,  13\(\frac{7}{8}\)   are mixed fractions.

Unit fraction

A unit fraction is a fraction with a numerator equal to one. If a whole or a collection is divided into equal parts, then exactly 1 part of the total parts represents a unit fraction .

new2

Fractions with Like and Unlike Denominators

Like fractions are those in which two or more fractions have the same denominator, whereas unlike fractions are those in which the denominators of two or more fractions are different.

For example,  

\(\frac{1}{4}\)  and  \(\frac{3}{4}\)  are like fractions as they both have the same denominator, that is, 4.

\(\frac{1}{3}\)  and  \(\frac{1}{4}\)   are unlike fractions as they both have a different denominator.

Operations on Fractions

We can perform addition, subtraction, multiplication and division operations on fractions.

Fractions with unlike denominators can be added or subtracted using equivalent fractions. Equivalent fractions can be obtained by finding a common denominator. And a common denominator is obtained either by determining a common multiple of the denominators or by calculating the product of the denominators.

There is another method to add or subtract mixed numbers, that is, solve the fractional and whole number parts separately, and then, find their sum to get the final answer.

Fractions can be Multiplied by Using:

Division operations on fractions can be performed using a tape diagram and area model. Also, when a fraction is divided by another fraction then we can solve it by multiplying the dividend with the reciprocal of the divisor. 

Let’s Take a Look at a Few Examples

Addition and subtraction using common denominator

( \(\frac{1}{6} ~+ ~\frac{2}{5}\) )

We apply the method of equivalent fractions. For this we need a common denominator, or a common multiple of the two denominators 6 and 5, that is, 30.

\(\frac{1}{6} ~+ ~\frac{2}{5}\)

= \(\frac{5~+~12}{30}\)  

=  \(\frac{17}{30}\) 

( \(\frac{5}{2}~-~\frac{1}{6}\) )

= \(\frac{12~-~5}{30}\)

= \(\frac{7}{30}\)

Examples of Multiplication and Division

Multiplication:

(\(\frac{1}{6}~\times~\frac{2}{5}\))

= (\(\frac{1~\times~2}{6~\times~5}\))                                       [Multiplying numerator of fractions and multiplying denominator of fractions]

=  \(\frac{2}{30}\)

(\(\frac{2}{5}~÷~\frac{1}{6}\))

= (\(\frac{2 ~\times~ 5}{6~\times~ 1}\))                                     [Multiplying dividend with the reciprocal of divisor]

= (\(\frac{2 ~\times~ 6}{5 ~\times~ 1}\))

= \(\frac{12}{5}\)

Example 1: Solve \(\frac{7}{8}\) + \(\frac{2}{3}\)

Let’s add \(\frac{7}{8}\)  and  \(\frac{2}{3}\)   using equivalent fractions. For this we need to find a common denominator or a common multiple of the two denominators 8 and 3, which is, 24.

\(\frac{7}{8}\) + \(\frac{2}{3}\)

= \(\frac{21~+~16}{24}\)    

= \(\frac{37}{24}\)

Example 2: Solve \(\frac{11}{13}\) – \(\frac{12}{17}\)

Solution:  

Let’s subtract  \(\frac{12}{17}\) from \(\frac{11}{13}\)   using equivalent fractions. For this we need a common denominator or a common multiple of the two denominators 13 and 17, that is, 221.

\(\frac{11}{13}\) – \(\frac{12}{17}\)

= \(\frac{187~-~156}{221}\)

= \(\frac{31}{221}\)

Example 3: Solve \(\frac{15}{13} ~\times~\frac{18}{17}\)

Multiply the numerators and multiply the denominators of the 2 fractions.

\(\frac{15}{13}~\times~\frac{18}{17}\)

= \(\frac{15~~\times~18}{13~~\times~~17}\)

= \(\frac{270}{221}\)

Example 4: Solve \(\frac{25}{33}~\div~\frac{41}{45}\)

Divide by multiplying the dividend with the reciprocal of the divisor.

\(\frac{25}{33}~\div~\frac{41}{45}\)

= \(\frac{25}{33}~\times~\frac{41}{45}\)                            [Multiply with reciprocal of the divisor \(\frac{41}{45}\) , that is, \(\frac{45}{41}\)  ]

= \(\frac{25~\times~45}{33~\times~41}\)

= \(\frac{1125}{1353}\)

Example 5: 

Sam was left with   \(\frac{7}{8}\)  slices of chocolate cake and    \(\frac{3}{7}\)  slices of vanilla cake after he shared the rest with his friends. Find out the total number of slices of cake he had with him. Sam shared   \(\frac{10}{11}\)  slices from the total number he had with his parents. What is the number of slices he has remaining?

To find the total number of slices of cake he had after sharing we need to add the slices of each cake he had,

=   \(\frac{7}{8}\) +   \(\frac{3}{7}\)   

=   \(\frac{49~+~24}{56}\)

=   \(\frac{73}{56}\)

To find out the remaining number of slices Sam has   \(\frac{10}{11}\)  slices need to be deducted from the total number,

= \(\frac{73}{56}~-~\frac{10}{11}\)

=   \(\frac{803~-~560}{616}\)

=   \(\frac{243}{616}\)

Hence, after sharing the cake with his friends, Sam has  \(\frac{73}{56}\) slices of cake, and after sharing with his parents he had  \(\frac{243}{616}\)  slices of cake left with him.

Example 6: Tiffany squeezed oranges to make orange juice for her juice stand. She was able to get 25 ml from one orange. How many oranges does she need to squeeze to fill a jar of   \(\frac{15}{8}\) liters? Each cup that she sells carries 200 ml and she sells each cup for 64 cents. How much money does she make at her juice stand?

First  \(\frac{15}{8}\) l needs to be converted to milliliters.

\(\frac{15}{8}\)l into milliliters =  \(\frac{15}{8}\) x 1000 = 1875 ml

To find the number of oranges, divide the total required quantity by the quantity of juice that one orange can give.

The number of oranges required for 1875 m l of juice =  \(\frac{1875}{25}\) ml = 75 oranges

To find the number of cups she sells, the total quantity of juice is to be divided by the quantity of juice that 1 cup has

=  \(\frac{1875}{200}~=~9\frac{3}{8}\) cups

We know that, the number of cups cannot be a fraction, it has to be a whole number. Also each cup must have 200ml. Hence with the quantity of juice she has she can sell 9 cups,   \(\frac{3}{8}\) th  of a cup cannot be sold alone.

Money made on selling 9 cups = 9 x 64 = 576 cents

Hence she makes 576 cents from her juice stand.

What is a mixed fraction?

A mixed fraction is a number that has a whole number and a fractional part. It is used to represent values between whole numbers.

How will you add fractions with unlike denominators?

When adding fractions with unlike denominators, take the common multiple of the denominators of both the fractions and then convert them into equivalent fractions. 

Check out our other courses

Grades 1 - 12

Level 1 - 10

How to Solve Fraction Questions in Math

Last Updated: February 24, 2023 References Approved

This article was co-authored by Mario Banuelos, PhD and by wikiHow staff writer, Sophia Latorre . Mario Banuelos is an Assistant Professor of Mathematics at California State University, Fresno. With over eight years of teaching experience, Mario specializes in mathematical biology, optimization, statistical models for genome evolution, and data science. Mario holds a BA in Mathematics from California State University, Fresno, and a Ph.D. in Applied Mathematics from the University of California, Merced. Mario has taught at both the high school and collegiate levels. There are 7 references cited in this article, which can be found at the bottom of the page. wikiHow marks an article as reader-approved once it receives enough positive feedback. This article has 17 testimonials from our readers, earning it our reader-approved status. This article has been viewed 1,116,750 times.

Fraction questions can look tricky at first, but they become easier with practice and know-how. Start by learning the terminology and fundamentals, then pratice adding, subtracting, multiplying, and dividing fractions. [1] X Research source Once you understand what fractions are and how to manipulate them, you'll be breezing through fraction problems in no time.

Doing Calculations with Fractions

Image titled Solve Fraction Questions in Math Step 6

Image titled Solve Fraction Questions in Math Step 7

Image titled Solve Fraction Questions in Math Step 8

Image titled Solve Fraction Questions in Math Step 9

Image titled Solve Fraction Questions in Math Step 10

Practicing the Basics

Image titled Solve Fraction Questions in Math Step 1

Image titled Solve Fraction Questions in Math Step 2

Image titled Solve Fraction Questions in Math Step 3

Image titled Solve Fraction Questions in Math Step 4

Tip: Typically, you'll need to convert mixed numbers to improper fractions if you're multiplying or dividing them.

Image titled Solve Fraction Questions in Math Step 5

Fraction Calculator, Practice Problems, and Answers

problem solving mixed fraction

Community Q&A

Community Answer

problem solving mixed fraction

You Might Also Like

Solve Systems of Algebraic Equations Containing Two Variables

About This Article

Mario Banuelos, PhD

To solve a fraction multiplication question in math, line up the 2 fractions next to each other. Multiply the top of the left fraction by the top of the right fraction and write that answer on top, then multiply the bottom of each fraction and write that answer on the bottom. Simplify the new fraction as much as possible. To divide fractions, flip one of the fractions upside-down and multiply them the same way. If you need to add or subtract fractions, keep reading! Did this summary help you? Yes No

Reader Success Stories

Sebastian Maxwell

Sebastian Maxwell

Jun 1, 2017

Did this article help you?

Anonymous

Jul 19, 2017

Anonymous

Sep 16, 2017

Kamaria Albert

Kamaria Albert

Feb 28, 2017

Toyin Mafe

Oct 17, 2016

Am I a Narcissist or an Empath Quiz

Featured Articles

Play FIFA 23 Career Mode

Trending Articles

Talk to a Girl in a Group

Watch Articles

Make Homemade Soup

wikiHow Tech Help Pro:

Develop the tech skills you need for work and life

Figure out math equation

Calculate my rmd for 2021

Required minimum distribution (RMD) calculator The IRS requires that you begin withdrawing a minimum amount from some types of retirement accounts when you

mathmaster

What do our users say?

It's amazing how far we've gone into technology, it also lets you view very exact/helpful solving steps, it breaks down any problems in the simplest way. Has not steered me wrong yet! Love it and would recommend it to everyone having trouble with math.

Just allow to acces your stuff, take a picture of the equation and it will immediately anwser it correctly, for those who think it's not up to mark. I give it 5 stars because it helps children do there math and dont struggle, 10/10 would illegally download again. It's easy to use and not a lot of ads.

Not only can you find the correct answers but it explains the answers on how to solve the math problems. Or people with a lot of math in their life. Everyone should try, it also helps with some of the difficult questions I can't answer. Brilliant app, perfect for students who have lots of extracurricular activities.

Calculate Your Required Minimum Distribution From IRAs

Calculate your rmd, required minimum distribution worksheets.

Use our required minimum distribution calculator to estimate the distributions you are required by law to withdraw annually based on your birthdate.

The Scan app can help you save time and stay organized.

Do my homework

I can't do math equations.

Explain math

Math is the study of numbers, shapes, and patterns.

Instant answers

No matter what question you have, you can always find an answer with a quick online search.

Clear up math equation

To clear up a math equation, work through each step of the equation slowly and carefully. Check your work as you go to identify any mistakes. Once you have the correct answer, double check it to be sure.

Loyal Support

I appreciate your loyalty and support.

RMD Calculator

Use our RMD calculator to find out the required minimum distribution for your IRA. Plus review your projected RMDs over 10 years and over your lifetime.

Fraction Word Problems - Mixed Numbers

Related Topics: Fraction Word Problems Worksheet More Fractions Worksheets Fraction Games

Objective: I can solve one-step word problems involving addition and subtraction of mixed numbers (mixed fractions).

Follow these steps to solve the mixed numbers word problems.

Step 1. Is it a problem in addition or subtraction?

Step 2. Do you need to find a common denominator?

Step 3. Can you simplify or reduce the answer?

Solve the following word problems. Mark ran 2 1 / 3 km and Shaun ran 3 1 / 5 km. Find the difference in the distance that they ran. Brandon and his son went fishing. Brandon caught 3 3 / 4 kg of fish while his son caught 2 1 / 5 kg of fish. What is the total weight of the fishes that they caught? For the school’s sports day, a group of students prepared 21 1 / 2 litres of lemonade. At the end of the day they had 2 5 / 8 litres left over. How many litres of lemonade were sold? Darren spent 2 1 / 2 hours on his homework on Monday. On Tuesday, he spent 1 3 / 5 hours on his homework. Find the total amount of time, in hours, that Darren spent doing his homework on Monday and Tuesday. Brian has a bamboo pole that was 6 ¾ m long. He cut off 1 1 / 4 m and another 2 1 / 3 m. What is the length of the remaining bamboo pole in m? Lydia bought 2 3 / 4 kg of vegetables, 1 1 / 4 kg of fish and 2 1 / 3 kg of mutton. What is the total mass, in kg, of the items that she bought? Kimberly has 3 1 / 2 bottles of milk in her refrigerator. She used 3 / 5 bottle in the morning and 1 1 / 4 bottle in the afternoon. How many bottles of milk does Kimberly have left over? A tank has 82 3 / 4 litres of water. 24 4 / 5 litres were used and the tank was filled with another 18 3 / 4 litres. What is the final volume of water in the tank?

Mathway Calculator Widget

We hope that the free math worksheets have been helpful. We encourage parents and teachers to select the topics according to the needs of the child. For more difficult questions, the child may be encouraged to work out the problem on a piece of paper before entering the solution. We hope that the kids will also love the fun stuff and puzzles.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.

Study.com

We're sorry, this computer has been flagged for suspicious activity.

If you are a member, we ask that you confirm your identity by entering in your email.

You will then be sent a link via email to verify your account.

If you are not a member or are having any other problems, please contact customer support.

Thank you for your cooperation

MATH Worksheets 4 Kids

Fraction Word Problem Worksheets

Featured here is a vast collection of fraction word problems, which require learners to simplify fractions, add like and unlike fractions; subtract like and unlike fractions; multiply and divide fractions. The fraction word problems include proper fraction, improper fraction, and mixed numbers. Solve each word problem and scroll down each printable worksheet to verify your solutions using the answer key provided. Thumb through some of these word problem worksheets for free!

Represent and Simplify the Fractions: Type 1

Represent and Simplify the Fractions: Type 1

Presented here are the fraction pdf worksheets based on real-life scenarios. Read the basic fraction word problems, write the correct fraction and reduce your answer to the simplest form.

pdf 1

Represent and Simplify the Fractions: Type 2

Before representing in fraction, children should perform addition or subtraction to solve these fraction word problems. Write your answer in the simplest form.

worksheet 1

Adding Fractions Word Problems Worksheets

Conjure up a picture of how adding fractions plays a significant role in our day-to-day lives with the help of the real-life scenarios and circumstances presented as word problems here.

(15 Worksheets)

Subtracting Fractions Word Problems Worksheets

Subtracting Fractions Word Problems Worksheets

Crank up your skills with this set of printable worksheets on subtracting fractions word problems presenting real-world situations that involve fraction subtraction!

Multiplying Fractions Word Problems Worksheets

Multiplying Fractions Word Problems Worksheets

This set of printables is for the ardently active children! Explore the application of fraction multiplication and mixed-number multiplication in the real world with this exhilarating practice set.

Fraction Division Word Problems Worksheets

Fraction Division Word Problems Worksheets

Gift children a broad view of the real-life application of dividing fractions! Let them divide fractions by whole numbers, divide 2 fractions, divide mixed numbers, and solve the word problems here.

Related Worksheets

» Decimal Word Problems

» Ratio Word Problems

» Division Word Problems

» Math Word Problems

» Fractions

Become a Member

Membership Information

Privacy Policy

What's New?

Printing Help

Testimonial

Facebook

Copyright © 2023 - Math Worksheets 4 Kids

Members have exclusive facilities to download an individual worksheet, or an entire level.

Happy Learning!

Calculator Soup Logo

Calculator   Soup ®

Online Calculators

find CalculatorSoup and become a fan on facebook

Fractions Calculator

share on Facebook

Calculator Use

Use this fraction calculator for adding, subtracting, multiplying and dividing fractions. Answers are fractions in lowest terms or mixed numbers in reduced form.

Input proper or improper fractions, select the math sign and click Calculate. This is a fraction calculator with steps shown in the solution.

If you have negative fractions insert a minus sign before the numerator. So if one of your fractions is -6/7, insert -6 in the numerator and 7 in the denominator.

To do math with mixed numbers (whole numbers and fractions) use the Mixed Numbers Calculator .

Math on Fractions with Unlike Denominators

There are 2 cases where you need to know if your fractions have different denominators:

How to Add or Subtract Fractions

How to Multiply Fractions

How to Divide Fractions

Fraction Formulas

There is a way to add or subtract fractions without finding the least common denominator (LCD) . This method involves cross multiplication of the fractions. See the formulas below.

You may find that it is easier to use these formulas than to do the math to find the least common denominator.

The formulas for multiplying and dividing fractions follow the same process as described above.

Adding Fractions

The formula for adding fractions is:

Example steps:

Subtracting Fractions

The formula for subtracting fractions is:

Multiplying Fractions

The formula for multiplying fractions is:

Dividing Fractions

The formula for dividing fractions is:

Related Calculators

To perform math operations on mixed number fractions use our Mixed Numbers Calculator . This calculator can also simplify improper fractions into mixed numbers and shows the work involved.

If you want to simplify an individual fraction into lowest terms use our Simplify Fractions Calculator .

For an explanation of how to factor numbers to find the greatest common factor (GCF) see the Greatest Common Factor Calculator .

If you are simplifying large fractions by hand you can use the Long Division with Remainders Calculator to find whole number and remainder values.

This calculator performs the reducing calculation faster than other calculators you might find. The primary reason is that it utilizes Euclid's Algorithm for reducing fractions which can be found on The Math Forum .

Cite this content, page or calculator as:

Furey, Edward " Fractions Calculator " at https://www.calculatorsoup.com/calculators/math/fractions.php from CalculatorSoup, https://www.calculatorsoup.com - Online Calculators

Library homepage

selected template will load here

This action is not available.

Mathematics LibreTexts

2.3.2: Subtracting Fractions and Mixed Numbers

Learning Objectives

Introduction

Sometimes subtraction, rather than addition, is required to solve problems that involve fractions. Suppose you are making pancakes and need \(\ 4 \frac{1}{2}\) cups of flour but you only have \(\ 2 \frac{3}{4}\) cups. How many additional cups will you have to get to make the pancakes? You can solve this problem by subtracting the mixed numbers.

Subtracting Fractions

The most simple fraction subtraction problems are those that have two proper fractions with a common denominator . That is, each denominator is the same. The process is just as it is for addition of fractions with like denominators , except you subtract! You subtract the second numerator from the first and keep the denominator the same.

Imagine that you have a cake with equal-sized pieces. Some of the cake has already been eaten, so you have a fraction of the cake remaining. You could represent the cake pieces with the picture below.

Screen Shot 2021-04-23 at 10.36.41 PM.png

The cake is cut into 12 equal pieces to start. Two are eaten, so the remaining cake can be represented with the fraction \(\ \frac{10}{12}\). If 3 more pieces of cake are eaten, what fraction of the cake is left? You can represent that problem with the expression \(\ \frac{10}{12}-\frac{3}{12}\).

If you subtract 3 pieces, you can see below that \(\ \frac{7}{12}\) of the cake remains.

Screen Shot 2021-04-23 at 10.38.34 PM.png

You can solve this problem without the picture by subtracting the numerators and keeping the denominator the same:

\(\ \frac{10}{12}-\frac{3}{12}=\frac{7}{12}\)

Subtracting Fractions with Like Denominators

If the denominators (bottoms) of the fractions are the same, subtract the numerators (tops) and keep the denominator the same. Remember to simplify the resulting fraction, if possible.

\(\ \frac{6}{7}-\frac{1}{7}=\frac{5}{7}\)

\(\ \frac{5}{9}-\frac{2}{9}=\frac{1}{3}\)

If the denominators are not the same (they have unlike denominators ), you must first rewrite the fractions with a common denominator. The least common denominator , which is the least common multiple of the denominators, is the most efficient choice, but any common denominator will do. Be sure to check your answer to be sure that it is in simplest form. You can use prime factorization to find the least common multiple (LCM), which will be the least common denominator (LCD). See the example below.

\(\ \frac{1}{5}-\frac{1}{6}=\frac{1}{30}\)

The example below shows using multiples to find the least common multiple, which will be the least common denominator.

\(\ \frac{5}{6}-\frac{1}{4}=\frac{7}{12}\)

\(\ \frac{2}{3}-\frac{1}{6}\) Subtract and simplify the answer.

Subtracting Mixed Numbers

Subtracting mixed numbers works much the same way as adding mixed numbers. To subtract mixed numbers, subtract the whole number parts of the mixed numbers and then subtract the fraction parts in the mixed numbers. Finally, combine the whole number answer and the fraction answer to express the answer as a mixed number.

\(\ 6 \frac{4}{5}-3 \frac{1}{5}=3 \frac{3}{5}\)

Sometimes it might be easier to express the mixed number as an improper fraction first and then solve. Consider the example below.

\(\ 8 \frac{1}{3}-4 \frac{2}{3}=3 \frac{2}{3}\)

Since addition is the inverse operation of subtraction, you can check your answer to a subtraction problem with addition. In the example above, if you add \(\ 4 \frac{2}{3}\) to your answer of \(\ 3 \frac{2}{3}\), you should get \(\ 8 \frac{1}{3}\).

\(\ \begin{array}{r} 4 \frac{2}{3}+3 \frac{2}{3} \\ 4+3+\frac{2}{3}+\frac{2}{3} \\ 7+\frac{4}{3} \\ 7+1 \frac{1}{3} \\ 8 \frac{1}{3} \end{array}\)

Sometimes you have to find a common denominator in order to solve a mixed number subtraction problem.

\(\ 7 \frac{1}{2}-2 \frac{1}{3}=5 \frac{1}{6}\)

\(\ 9 \frac{4}{5}-4 \frac{2}{3}\)

Subtract. Simplify the answer and write it as a mixed number.

Subtracting Mixed Numbers with Regrouping

Sometimes when subtracting mixed numbers, the fraction part of the second mixed number is larger than the fraction part of the first number. Consider the problem: \(\ 7 \frac{1}{6}-3 \frac{5}{6}\). The standard procedure would be to subtract the fractions, but \(\ \frac{1}{6}-\frac{5}{6}\) would result in a negative number. You don’t want that! You can regroup one of the whole numbers from the first number, writing the first mixed number in a different way:

\(\ \begin{array}{l} 7 \frac{1}{6}=7+\frac{1}{6}=6+1+\frac{1}{6} \\ 6+\frac{6}{6}+\frac{1}{6}=6+\frac{7}{6}=6 \frac{7}{6} \end{array}\)

Now, you can write an equivalent problem to the original:

\(\ 6 \frac{7}{6}-3 \frac{5}{6}\)

Then, you just subtract like you normally subtract mixed numbers:

\(\ 6-3=3\)

\(\ \frac{7}{6}-\frac{5}{6}=\frac{2}{6}=\frac{1}{3}\)

So, the answer is \(\ 3 \frac{1}{3}\).

As with many fraction problems, you may need to find a common denominator. Remember that a key part of adding and subtracting fractions and mixed numbers is making sure to have a common denominator as a first step! In the example below, the original fractions do not have a like denominator. You need to find one before proceeding with the next steps.

\(\ 7 \frac{1}{5}-3 \frac{1}{4}=3 \frac{19}{20}\)

Sometimes a mixed number is subtracted from a whole number. In this case, you can also rewrite the whole number as a mixed number in order to perform the subtraction. You use an equivalent mixed number that has the same denominator as the fraction in the other mixed number.

\(\ 8-4 \frac{2}{5}=3 \frac{3}{5}\)

If the fractional part of the mixed number being subtracted is larger than the fractional part of the mixed number from which it is being subtracted, or if a mixed number is being subtracted from a whole number, follow these steps:

Alternatively, you can change both numbers to improper fractions and then subtract.

\(\ 15-13 \frac{1}{4}\) Subtract. Simplify the answer and write as a mixed number.

Subtracting Fractions and Mixed Numbers to Solve Problems

Knowing how to subtract fractions and mixed numbers is useful in a variety of situations. When reading problems, look for key words that indicate that the problem can be solved using subtraction.

Sherry loves to quilt, and she frequently buys fabric she likes when she sees it. She had purchased 5 yards of blue print fabric and decided to use \(\ 2 \frac{3}{8}\) yards of it in a quilt. How much of the blue print fabric will she have left over after making the quilt?

Sherry has \(\ 2 \frac{5}{8}\) yards of blue print fabric left over.

Pilar and Farouk are training for a marathon. On a recent Sunday, they both completed a run. Farouk ran \(\ 12 \frac{7}{8}\) miles and Pilar ran \(\ 14 \frac{3}{4}\) miles. How many more miles did Pilar run than Farouk?

Pilar ran \(\ 1 \frac{7}{8}\) miles more than Farouk.

Mike and Jose are painting a room. Jose used \(\ \frac{2}{3}\) of a can of paint and Mike used \(\ \frac{1}{2}\) of a can of paint. How much more paint did Jose use? Write the answer as a fraction of a can.

Jose used \(\ \frac{1}{6}\) of a can more paint than Mike.

Mariah’s sunflower plant grew \(\ 18 \frac{2}{3}\) inches in one week. Her tulip plant grew \(\ 3 \frac{3}{4}\) inches in one week. How many more inches did the sunflower grow in a week than the tulip?

Subtracting fractions and mixed numbers combines some of the same skills as adding whole numbers and adding fractions and mixed numbers. When subtracting fractions and mixed numbers, first find a common denominator if the denominators are not alike, rewrite each fraction using the common denominator, and then subtract the numerators. When subtracting mixed numbers, if the fraction in the second mixed number is larger than the fraction in the first mixed number, rewrite the first mixed number by regrouping one whole as a fraction. Alternatively, rewrite all fractions as improper fractions and then subtract. This process is also used when subtracting a mixed number from a whole number.

improper fraction/mixed number word problems

improper fraction/mixed number word problems

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

nixiepixie

Last updated

20 January 2015

doc, 29.5 KB

Creative Commons "Sharealike"

Your rating is required to reflect your happiness.

It's good to leave some feedback.

Something went wrong, please try again later.

marie_teach

Empty reply does not make any sense for the end user

I was unfamiliar with the low, moderate, and high achiever acronym, but Google works.

ozzyshortstop34

This is just what I was looking for, word problems for application. Thank you.

Report this resource to let us know if it violates our terms and conditions. Our customer service team will review your report and will be in touch.

Not quite what you were looking for? Search by keyword to find the right resource:

Microsoft Math Solver

Microsoft Math Solver

Algebra Calculator

Interactive resources you can assign in your digital classroom from TPT.

problem solving mixed fraction

Easel Activities

problem solving mixed fraction

Easel Assessments

Unlock access to 4 million resources — at no cost to you — with a school-funded subscription., spiral review math warm-ups - bell ringers - mixed topics - level 1 set 2.

problem solving mixed fraction

Also included in

problem solving mixed fraction

Description

Build those basic math skills AND prepare for standardized testing with these multiple choice warm-ups! Quickly assess students' understanding of foundational math concepts! Use the detailed easy-to-understand solutions to revise or completely reteach essential skills!!

This set of 10 problem pages with detailed solutions was designed by two certified high school math teachers based on their students’ needs. These practice exercises can be used to stretch students in PreAlgebra, review basic math skills for students in Algebra, or to reteach essential math skills for students in any high school math course. Use our warm-ups on a daily basis to consistently reinforce fundamental math concepts and to prepare students for standardized tests!

Key features include:

This set includes 10 pages of problems with 3 problems per page and their corresponding solutions (30 problems total with solutions). To continue gaining momentum with your students, eight additional sets of 10 pages are also available on Teachers Pay Teachers. Problems increase in difficulty across all 90 pages in these sets. Purchase all 9 sets in our Level 1 Warm-Ups bundle.

These exercises offer a mixed review of basic concepts & processes, similar to all standardized tests. Emphasize test-taking strategies and enrich your curriculum with this supplement!

Please check out our other resources including our Quick Reference Guide to Fractions , Quick Reference Guide to Decimals , Quick Reference Guide to Percents , and Integer Operations – Understanding Integers Tutorial & Practice Worksheets .

To review Algebra 1 concepts specifically, please see our Algebra Warm-Ups .

We would love to have your feedback on this product so that we may better serve you!   Follow us on TpT  and on  Facebook !!

Rachel & Susan

Gaining Math Momentum

© Ripples-to-Waves Publications All rights are reserved by the authors. Purchase of this product entitles only the original buyer to use this material in their classroom to serve their students.  Reproducing for more than one teacher or classroom, or for an entire department or school district is prohibited.  This product may not be distributed or displayed digitally for public view, uploaded to school or district websites, distributed via email, or submitted to file sharing sites. Failure to comply is a copyright infringement and a violation of the Digital Millennium Copyright Act (DMCA).

Questions & Answers

Gaining math momentum warmups.

TPT empowers educators to teach at their best.

Keep in Touch!

Are you getting the free resources, updates, and special offers we send out every week in our teacher newsletter?

IMAGES

  1. 😂 Fraction problem solving questions. Math problem solving questions. 2019-02-25

    problem solving mixed fraction

  2. Problem Solving Involving Fractions

    problem solving mixed fraction

  3. Problem solving with fractions

    problem solving mixed fraction

  4. 🐈 Fraction solving problem. Problem Solving In Comparing Fraction Worksheets. 2019-01-15

    problem solving mixed fraction

  5. 🎉 Fractions problem solving. Problem Solving In Comparing Fraction Worksheets. 2019-02-22

    problem solving mixed fraction

  6. Fraction Problem Solving Worksheet 2

    problem solving mixed fraction

VIDEO

  1. Mixed numbers solving with two solutions in tagalog

  2. Not possible 🤔 Maths hack 😳#shorts

  3. Fraction short trick||Fraction addition||mixed fraction solve in sec|best trick for fast calculation

  4. Adding Mixed Fractions Easy Math Tricks

  5. Solving Mixed number and Improper Fractions Mathematics 4 Chapter 4 lesson 2 Page 72 Course Book

  6. Fraction trick

COMMENTS

  1. Mixed Fractions

    Learn about mixed fractions using our free math solver with step-by-step solutions. Skip to main content. Microsoft Math Solver. Solve Practice Download. ... Type a math problem. Type a math problem. Solve. Examples. 3 \frac{ 3 }{ 7 } 4 \frac{ 15 }{ 32 } 1 \frac{ 1 }{ 2 } +3 \frac{ 4 }{ 5 } ...

  2. Mixed Fractions

    That is why it is called a "mixed" fraction (or mixed number). Names. We can give names to every part of a mixed fraction: Three Types of Fractions. There are three types of fraction: Mixed Fractions or Improper Fractions. We can use either an improper fraction or a mixed fraction to show the same amount. For example 1 34 = 74, as shown here:

  3. Adding and Subtracting Mixed Fractions

    To add mixed fractions: convert them to Improper Fractions then add them (using Addition of Fractions) then convert back to Mixed Fractions Like this: Example: What is 2 3 4 + 3 1 2 ? Convert to Improper Fractions: 2 3 4 = 11 4 3 1 2 = 7 2 Common denominator of 4: 11 4 stays as 11 4 7 2 becomes 14 4 (by multiplying top and bottom by 2) Now Add:

  4. Mixed Numbers Calculator

    Mixed Numbers Calculator (also referred to as Mixed Fractions): This online calculator handles simple operations on whole numbers, integers, mixed numbers, fractions and improper fractions by adding, subtracting, dividing or multiplying. The answer is provided in a reduced fraction and a mixed number if it exists.

  5. Mixed Fractions (Addition, Subtraction & Multiplication)

    To convert a mixed fraction into an improper fraction, first, we multiply the denominator of the proper fraction by the whole number attached to it and then we add the numerator. For example, 3 1 / 2 is a mixed fraction. Multiply 2 and 3, 2×3 = 6 Add 6 and 1 (numerator) = 6+1 = 7 Hence, 31/2 = 7/2 How to add mixed fractions?

  6. Mixed fraction word problems for grade 5

    Mixed fraction word problems Add / subtract / multiply / divide fractions These word problems provide additional practice with fractions and the 4 basic operations. Mixing word problems and including unneeded data are ways to encourage students to carefully read and think about the questions. Worksheet #1 Worksheet #2 Worksheet #3 Worksheet #4

  7. Converting Mixed Numbers to Fractions

    Step 1: Let's use shapes to represent the mixed number three and one-half. Step 2: Solution: In example 1, we used shapes to help us solve the problem. Let's look at example 2. Example 2: A school bell rings every half-hour. If it just rang, then how many times will it ring in in the next nine and one-half hours?

  8. Fractions: mixed operations word problems

    Fraction word problems with the 4 operations These word problems involve the 4 basic operations ( addition, subtraction, multiplication and division) on fractions. Mixing word problems encourages students to read and think about the questions, rather than simply recognizing a pattern to the solutions.

  9. Mixed Fractions Worksheets

    Mixed Fractions Worksheets. A mixed fraction is a fraction, but it consists of two parts: an integer part and a right fractional part. In math, the mixer forms mixed fractions from a pure fraction with one or more whole quantities. If an appropriate fraction is added to a total amount, then the quantity becomes a fraction. Therefore, the ...

  10. WORD PROBLEMS ON MIXED FRACTIONS

    WORD PROBLEMS ON MIXED FRACTIONS Problem 1 : Linda walked 2 ⅓ miles on the first day and 3 ⅖ miles on the next day. How many miles did she walk in all? Solution : Total no. of miles she walked is = 2⅓ + 3⅖ In the above mixed fractions, we have the denominators 3 and 5. LCM of (3, 5) = 15.

  11. Learn How to Solve Fraction Word Problems with Examples and Interactive

    Analysis: To solve this problem, we will subtract two mixed numbers, with the fractional parts having unlike denominators. Solution: Answer: The electrician needs to cut 13 sixteenths cm of wire. Example 9: A carpenter had a piece of wood that was 15 feet in length.

  12. Problem Solving using Fractions (Definition, Types and Examples)

    Fractions can be Multiplied by Using: 1. Tape diagrams 2. Area models 3. Repeated addition 4. Unit fractions 5. Multiplication of numerators, and multiplication of denominators of the two fractions. Division operations on fractions can be performed using a tape diagram and area model.

  13. 3 Ways to Solve Fraction Questions in Math

    Doing Calculations with Fractions 1 Add fractions with the same denominator by combining the numerators. To add fractions, they must have the same denominator. If they do, simply add the numerators together. [2] For instance, to solve 5/9 + 1/9, just add 5 + 1, which equals 6. The answer, then, is 6/9 which can be reduced to 2/3. 2

  14. Adding mixed fractions calculator with steps

    Mixed Number Calculator. With this online mixed fraction calculator (or mixed number calculator) with whole numbers and fractions you can easily add mixed fractions, subtract mixed. If you're looking for someone to help you with your assignments, you've come to the right place. At Get Assignment, we're here to help you get the grades you deserve.

  15. Fraction Word Problems Worksheet

    Objective: I can solve one-step word problems involving addition and subtraction of mixed numbers (mixed fractions). Follow these steps to solve the mixed numbers word problems. Step 1. Is it a problem in addition or subtraction? Step 2. Do you need to find a common denominator?

  16. Solving Problems using Fractions and Mixed Numbers

    With a mixed number, we need to first convert it to an improper fraction, or a fraction with a flair for off-color jokes. Wait, no, it's a fraction with a larger numerator than denominator....

  17. Fraction Word Problems Worksheets

    The fraction word problems include proper fraction, improper fraction, and mixed numbers. Solve each word problem and scroll down each printable worksheet to verify your solutions using the answer key provided. Thumb through some of these word problem worksheets for free! Represent and Simplify the Fractions: Type 1

  18. Fractions Calculator

    To perform math operations on mixed number fractions use our Mixed Numbers Calculator. This calculator can also simplify improper fractions into mixed numbers and shows the work involved. If you want to simplify an individual fraction into lowest terms use our Simplify Fractions Calculator .

  19. 2.3.2: Subtracting Fractions and Mixed Numbers

    Since the fractions have a like denominator, subtract the numerators. 11 3 = 32 3. Write the answer as a mixed number. Divide 11 by 3 to get 3 with a remainder of 2. 81 3 − 42 3 = 32 3. Since addition is the inverse operation of subtraction, you can check your answer to a subtraction problem with addition.

  20. improper fraction/mixed number word problems

    improper fraction/mixed number word problems Subject: Mathematics Age range: 7-11 Resource type: Worksheet/Activity 35 reviews File previews doc, 29.5 KB Differentiated word problems for improper fractions and mixed number. Hope it helps. Creative Commons "Sharealike" Report this resource to let us know if it violates our terms and conditions.

  21. Fractions

    Learn about fractions using our free math solver with step-by-step solutions.

  22. Spiral Review Math Warm-Ups

    Problems increase in difficulty across all 90 pages in these sets. Purchase all 9 sets in our Level 1 Warm-Ups bundle. These exercises offer a mixed review of basic concepts & processes, similar to all standardized tests. Emphasize test-taking strategies and enrich your curriculum with this supplement!