If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

To log in and use all the features of Khan Academy, please enable JavaScript in your browser.

Unit 6: Lesson 6

Multiply fractions word problems

Home

Reading & Math for K-5

Breadcrumbs

Introduction to Fractions Workbook

Download & Print Only $5.90

Multiplying fractions word problems

Word problem worksheets: multiply fractions by whole numbers.

Below are three versions of our grade 4 math worksheet with word problems involving the multiplication of fractions by whole numbers.  students are asked to answer and interpret word problems where fractional amounts are multiplied by whole numbers. They are also asked to simplify answers if possible.  These worksheets are pdf files .

solving problems involving multiplication of fractions

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.

solving problems involving multiplication of fractions

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.

HIGH SCHOOL

GRADUATE SCHOOL

Search 50+ Tests

Loading Page

math tutoring

science tutoring

Foreign languages.

elementary tutoring

Search 350+ Subjects

Common Core: 5th Grade Math : Solve Real World Problems Involving Multiplication of Fractions and Mixed Numbers: CCSS.Math.Content.5.NF.B.6

Study concepts, example questions & explanations for common core: 5th grade math, all common core: 5th grade math resources, example questions, example question #1 : solve real world problems involving multiplication of fractions and mixed numbers: ccss.math.content.5.nf.b.6.

solving problems involving multiplication of fractions

Example Question #2 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

solving problems involving multiplication of fractions

Example Question #3 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

solving problems involving multiplication of fractions

Example Question #5 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

solving problems involving multiplication of fractions

Example Question #6 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

solving problems involving multiplication of fractions

Example Question #8 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

solving problems involving multiplication of fractions

Example Question #10 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

solving problems involving multiplication of fractions

Report an issue with this question

If you've found an issue with this question, please let us know. With the help of the community we can continue to improve our educational resources.

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC 101 S. Hanley Rd, Suite 300 St. Louis, MO 63105

Or fill out the form below:

Contact Information

Complaint details.

Learning Tools by Varsity Tutors

Find the Best Tutors

disclaimer

Grammar

Number Sense and Operations

Measurement

Statistics and Data

Geometry

Pre-Algebra

Algebra

Fraction Multiplication Word Problems Worksheets

Hold on to our free multiplying fractions word problems worksheets and rest assured about multiplying fractions! An unbeatable bunch of printable practice worksheets, our resources work like magic when the going gets tough in fraction multiplication! Toss off answers to real-life word problems by simplifying fractions when required and finding the product of proper fractions, improper fractions, and mixed numbers with the correct units. Our pdf fraction multiplication word problems worksheets are equipped with answer keys for quick self-validation, too.

These worksheets are well suited for 4th grade through 7th grade students.

CCSS: 4.NF, 5.NF

Multiplying Fractions by Whole Numbers Word Problems

Let children swing into action and find the product of fractions and whole numbers with accuracy and speed. Kids are required to multiply proper fractions and improper fractions by whole numbers in the word problems here.

Multiplying Fractions by Whole Numbers Word Problems - Customary

Multiplying Fractions by Cross Cancelling Word Problems

Grade 4, grade 5, and grade 7 kids will gain an advantage over their peers by solving this exclusive multiplying fractions word problems worksheet accurately. That the set heavily relies on cross cancelling makes the job easy!

Multiplying Fractions by Cross Cancelling Word Problems - Customary

Multiplying Mixed Numbers Word Problems

Quench the quest of the zesty learners with the sea of fraction multiplication practice in our free multiplying mixed numbers word problems pdf worksheet. Let them double-check the solutions using the included answer keys.

Multiplying Mixed Numbers Word Problems - Customary

Multiplying Mixed Numbers and Fractions Word Problems

Let children bring their A-game as they practice our multiplying fractions word problem worksheet. Read the problems, find the products of mixed numbers and fractions, and obtain solutions with accuracy and ease!

Multiplying Mixed Numbers and Fractions Word Problems - Customary

Thanksgiving Word Problems

Our free printable Thanksgiving-themed worksheet with word problems involving multiplication of like fractions, unlike fractions, whole numbers, and mixed numbers will spur 6th grade and 7th grade kids' practice to greater growth.

Thanksgiving Word Problems - Customary

Related Worksheets

▶ Multiplying Fractions

▶ Fraction Division Word Problems

▶ Fraction Addition Word Problems

Privacy Policy

Copyright © 2023 - Tutoringhour

Facebook

Members can download the answer key and cross-check the answers instantly!

Members can share the worksheet with students instantly via WhatsApp, Email, or Google Classroom.

Members can add worksheets to “My Collections”, save them as folders, and download each folder as a workbook or a .zip file.

Members can learn to solve the problems step by step with an example.

Members can download the metric version of this set of worksheets.

Members can download this set of worksheets.

Become a member for $29.95 a year and gain instant access to 20,000+ printable and digitally fillable worksheets.

Problem solving involving multiplication of fractions

Problem solving involving multiplication of fractions is a software program that helps students solve math problems.

How to Solve Word Problems Involving Multiplying a Fraction

When dividing fractions, the quickest and easiest way to solve is to invert the second fraction and multiply instead of dividing. Dividing by a number is

Upload Your Requirement

You can upload your requirement here.

Work on the homework that is interesting to you

You can get more done on your homework if you focus on the parts that interest you the most.

Deal with math question

Solving math problems can be tricky, but with a little practice, anyone can master the basics.

What users say

But it let's you take pictures of problems, find common denominator, etc, if you need help with math this is definitely my number one recommendation, but my camera suddenly isnt working for it idk if its a problem on my side or theirs.

Michael Farr

I love that you can take a puc of it and write it out, the best for homework. I have no idea of what I was doing before this app in algebra. This app is really so useful. It is really really helpful i recommend it to anyone who is struggling in math and i am going to tell all my friends about this app thanks😁.

Andrew Mesta

Explain math tasks

Multiplying Fractions Word Problems

Common core: 5th grade math : solve real world problems.

Focus on your career

I am passionate about my career and enjoy helping others achieve their career goals.

Fast Delivery

Our fast delivery service ensures that you'll get your order as quickly as possible.

Decide math questions

To solve a math equation, you need to decide what operation to perform on each side of the equation.

Multiplying fractions word problem worksheets for grade 5

Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6 : Example Question #7 Liz collected \

Get Help with Tasks

You can get math help online by visiting websites like Khan Academy or Mathway.

You Request? We Answer!

If you have a question, we have an answer! We are here to help you with whatever you need.

Deal with math tasks

Math is all about solving equations and finding the right answer.

Clear up mathematic problems

If you're struggling to clear up a mathematics problem, don't give up – try these tips and tricks.

Clear up math problem

If you're struggling to clear up a math problem, don't give up! There are plenty of resources and people who can help you out. Just keep at it and you'll eventually get it.

Do mathematic equation

Doing homework can help improve grades.

Fraction Word Problems: Examples

Summary: In this lesson we learned how to solve word problems involving multiplication and division of fractions and mixed numbers.

Clear up math questions

If you're struggling with a math problem, try breaking it down into smaller pieces and solving each part separately.

You have questions and we have answers!

Deal with math problem

I can help you with that math problem.

Multiplying fractions word problem: muffins

Learn how to solve word problems involving multiplying a fraction and a whole number, and see examples that walk through sample problems step-by-step for

Clarify mathematic question

To solve a mathematical equation, you need to find the value of the unknown variable.

We strive to deliver products of the highest quality to our customers.

Looking for a little help with your math homework? Check out our Math Homework Helper for tips and tricks on how to tackle those tricky math problems.

Word problems involving multiplication of fractions

Including estimating. These grade 5 word problems involve the multiplication of common fractions by other fractions or whole numbers.

Figure out math tasks

Do mathematic tasks

Clear up mathematic problems

Decide mathematic question

Learn

Solve math problems

To solve a math equation, you need to find the value of the variable that makes the equation true.

Trustworthy Support

You can trust us to provide the support you need.

Deal with math problem

Math can be difficult, but with a little practice, it can be easy!

Client testimonials

Not a subscription fee. This app shows you every step without hurting your head or confusing you any more with unfamiliar terms, sO, THANK YOU SO MUCH, it's not hard to use, it's fast, and you don't need to pay to see the solution of your answer you wouldn't regret it if you install this oh and it dont have too much adds.

I highly recommend it for all people who do maths, this app will not just change your life, but will also change your prespective towards maths. I like this app alpt but the problem is payment i hope that the app makers will work with that one.

Multiplying Fractions Word Problems

Multiplying fractions word problem worksheets for grade 5.

Learn how to solve word problems involving multiplying a fraction and a whole number, and see examples that walk through sample problems step-by-step for

Figure out mathematic questions

Yes, I can certainly help you build a bright future.

For those who struggle with math, equations can seem like an impossible task. However, with a little bit of practice, anyone can learn to solve them.

At 24/7 Customer Support, we are always here to help you with whatever you need.

Multiplying fractions word problem: muffins

Solve routine or non-routine problems involving multiplication without or with addition or subtraction of fractions and whole numbers using

Multiplying Fractions

Multiply the tops, multiply the bottoms.

There are 3 simple steps to multiply fractions

1. Multiply the top numbers (the numerators ).

2. Multiply the bottom numbers (the denominators ).

3. Simplify the fraction if needed.

Example: 1 2 × 2 5

Step 1 . Multiply the top numbers:

1 2  ×  2 5   =   1 × 2     =   2  

Step 2 . Multiply the bottom numbers:

1 2  ×  2 5   =   1 × 2 2 × 5   =   2 10

Step 3 . Simplify the fraction :

Here you can see it with pizza ...

Do you see that half of two-fifths is two-tenths? Do you also see that two-tenths is simpler as one-fifth?

With Pen and Paper

And here is how to do it with a pen and paper (press the play button):

Another Example: 1 3 × 9 16

1 3  ×  9 16   =   1 × 9     =   9  

1 3  ×  9 16   =   1 × 9 3 × 16   =   9 48

Step 3 . Simplify the fraction:

9 48 = 3 16

(This time we simplified by dividing both top and bottom by 3)

♫ "Multiplying fractions: no big problem, Top times top over bottom times bottom. "And don't forget to simplify, Before it's time to say goodbye" ♫

Fractions and Whole Numbers

What about multiplying fractions and whole numbers?

Make the whole number a fraction, by putting it over 1.

Example: 5 is also 5 1

Then continue as before.

Example: 2 3  ×  5

Make 5 into 5 1 :

2 3  ×  5 1

Now just go ahead as normal.

Multiply tops and bottoms:

2 3  ×  5 1   =   2 × 5 3 × 1   =   10 3

The fraction is already as simple as it can be.

Answer = 10 3

Or you can just think of the whole number as being a "top" number:

Example: 3 ×  2 9

3    ×  2 9   =   3 × 2 9   =   6 9

Mixed Fractions

You can also read how to multiply mixed fractions

Solve mathematic questions

Problem solving involving multiplication of fractions

Summary: In this lesson we learned how to solve word problems involving multiplication and division of fractions and mixed numbers.

mathmaster

Multiplying fractions word problem: muffins

Then, break half into 4 equal parts. What is the result? The shaded area is one-eighth of the entire figure. You could solve the same problem simply by doing a

Do mathematic question

Looking for a resource that can provide detailed, step-by-step explanations? Look no further than our website. Our explanations are clear and easy to follow, so you can get the information you need quickly and efficiently.

Math is the study of numbers, shapes, and patterns. It is used to solve problems and to understand the world around us.

Math can be difficult, but with a little practice, it can be easy!

Multiplying Fractions Word Problems

Deal with mathematic tasks

Decide math tasks

Get the Best Homework solution

Solve mathematic equation

Figure out math

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

FORM 1 UNIT 3

Brilliant Maths

Form 1 Unit 3: Lesson 9 – Problem Solving Involving Fractions.

At the end of this lesson, student should be able to solve problems involving fractions. Before you attempt solving a problem, read the question several times to make sense of it, decode it and interpret it to yourself. Then take it step by step. Some problems will involve one step. Others will involve two or more steps.

solving problems involving multiplication of fractions

The operation is division (÷)

solving problems involving multiplication of fractions

Binta eats  of her birthday gives 2/7

to her friends and leaves 7 the rest for her family. What fraction did she leave for her family?

This is a 2 step problem

1 st step add both fractions.

solving problems involving multiplication of fractions

She left 9/28 for her family

solving problems involving multiplication of fractions

The key word is times more therefore the operation is multiplication (x)

solving problems involving multiplication of fractions

Username or Email Address

Remember Me

Registration confirmation will be emailed to you.

Math Playground

Kindergarten

1st grade math games

Embibe Logo

Table of Contents

Latest updates.

Is light a wave or a particle?

Is light a wave or a particle?

Embiums – Your Kryptonite weapon against super exams!

Embiums – Your Kryptonite weapon against super exams!

Procedure for CBSE Compartment Exams 2022

Procedure for CBSE Compartment Exams 2022

Find out to know how your mom can be instrumental in your score improvement

Find out to know how your mom can be instrumental in your score improvement

भारत में प्रथम (First In India): विज्ञान, खेल, रक्षा, साहित्य में प्रथम भारतीयों की सूची

भारत में प्रथम (First In India): विज्ञान, खेल, रक्षा, साहित्य में प्रथम भारतीयों की सूची

Remote Teaching Strategies on Optimizing Learners’ Experience

Remote Teaching Strategies on Optimizing Learners’ Experience

Impact of Practical Learning on Students

Impact of Practical Learning on Students

Area of Right Angled Triangle: Definition, Formula, Examples

Area of Right Angled Triangle: Definition, Formula, Examples

Composite Numbers: Definition, List 1 to 100, Examples, Types & More

Composite Numbers: Definition, List 1 to 100, Examples, Types & More

Electron Configuration: Aufbau, Pauli Exclusion Principle & Hund’s Rule

Electron Configuration: Aufbau, Pauli Exclusion Principle & Hund’s Rule

Word Problems on Fractions: Types & Solved Examples

img-icon

Word Problems on Fractions: A fraction is a mathematical expression for a portion of a whole. Each portion acquired when we divide the entire whole into parts is referred to as a fraction. When we divide a pizza into parts, for example, each slice represents a fraction of the whole pizza. Fractions are subjected to a variety of operations, including addition, subtraction, multiplication, and division. Fractions are used in many real-life situations.

This article will outline how to construct and solve fraction word problems. Students will come across fraction word problems with answers, fraction problem solving and dividing fractions word problems. It is advisable to practice all the problems thoroughly before attempting the exam. Keep reading to know more about word problems on fractions,, definition, types, solved examples and many more

Learn Informative Blog

Definition of Fractions

A fraction is a number that is used to expresses a part per whole. Each part obtained when we divide the whole into several parts is called the fraction.

Example: When we cut an apple into two-part, then each part represents the fraction \(\left(\frac{1}{2}\right)\) of the apple.

Apple

A fraction consists mainly of two parts, one is the numerator, and the other one is the denominator. The upper part or topmost part of the fraction is called the numerator, and the bottom part or below part is called the denominator.

Fraction

We have mainly three types of fractions: proper fractions, improper fractions, and mixed fractions. They are categorised by the relationship between the numerator and denominator of the fractions.

Types of fractions

Word Problems on Fractions

The fraction problem solving consist of a few sentences describing a real-life scenario where a mathematical calculation of fraction formulas are used to solve a problem.

Example: Keerthi took one piece of pizza, which is cut into a total of four pieces. Find the fraction of the pizza taken by Keerthi? The fraction of pizza taken by Keerthi \(=\frac{1}{4}\)

Practice Informative Blog

Some of the word problems on fractions that uses fraction formula are listed below:

Word Problems on Simplifications of Fractions

A fraction in which the numerator and the denominator have no common factor other than “one” is said to be the simplest form of fractions.

Example: Divya took \(8\) apples from the bucket of \(24\) apples. Find the fraction of apples taken by the Divya? The fraction of apples taken by Divya \(=\frac{8}{24}\) and its simplest form is \(\frac{1}{3}\)

Word Problems on Addition of Fractions

To add the like fractions (Fractions with the same denominators), keep the denominator the same and add the numerator values of the given fractions.

To add the unlike fractions (fractions with different denominators), convert the denominators of the given fractions equal to L.C.M of their denominators. Now add the numerator value and take the denominator of the resultant as L.C.M.

Example: Sahana bought \(\frac{1}{4} \mathrm{~kg}\) of apples and \(\frac{1}{2} \mathrm{~kg}\) of oranges from the shop. Total how many fruits she bought? The total fruits bought by Sahana \(=\frac{1}{2}+\frac{1}{4}=\frac{1 \times 2+1}{4}=\frac{3}{4} \mathrm{~kg}\)

Word Problems on Subtraction of Fractions

To subtract the like fractions (Fractions with the same denominators), keep the denominator the same and find the difference of the numerator values of the given fractions.

To subtract the unlike fractions (fractions with different denominators), convert the denominators of the given fractions equal to L.C.M of their denominators. Now find the difference of the numerator value and take the denominator of the resultant as L.C.M.

Example: Keerthi travelled \(\frac{2}{5} \mathrm{~km}\) to school. While returning home, she stopped at her friend’s house at a distance of \(\frac{1}{3} \mathrm{~km}\). Find the remaining distance? The remaining distance needs to be travelled \(=\frac{2}{5}-\frac{1}{3}=\frac{(2 \times 3)-(1 \times 5)}{5 \times 3}=\frac{6-5}{15}=\frac{1}{15} \mathrm{~km}\)

Word Problems on Multiplication of Fractions

To multiply the two or more fractions, find the product of numerators of the given fractions and the product of the denominators of the given fractions separately.

Example: Keerthi had \(Rs.10000\), and she had donated \(\frac{1}{10}\) of the money to the Oldage home. How much amount did she donate? The amount Keerthi donated \(=\frac{1}{10} \times Rs.10000= Rs. 1000\)

Word Problems on Division of Fractions

The division of fractions is nothing but multiplying the first fraction with the reciprocal of the second fraction. The reciprocal of the fraction is a fraction obtained by interchanging the numerator and denominator.

Example: The area of the rectangle is \(\frac{15}{4} \mathrm{~cm}^{2}\), whose length is \(\frac{5}{2} \mathrm{~cm}\). Find the width of the rectangle? We know that area of rectangle \(= \text {length} \times \text {bredath}\) And, breadth \(=\frac{\text { area }}{\text { length }}=\frac{15}{\frac{4}{2}}=\frac{15}{4} \times \frac{2}{5}=\frac{3}{2} \mathrm{~cm}\).

Word Problems on Conversion of Fractions to Percentage

We know that percentages are also fractions with the denominator equals to hundred. To convert the given fraction to a percentage, multiply it with hundred and to convert any percentage value to a fraction, divide with hundred.

Example: Keerthi ate \(\frac{2}{5}\) of the pizza. How much percentage of pizza is eaten by Keerthi? The percentage of pizza ate by Keerthi \(=\frac{2}{5} \times 100 \%=40 \%\).

Word Problems on Conversion of Fractions to Decimals

Decimal numbers are the numbers (quotient) obtained by dividing the fraction’s numerator with the given fraction’s denominator. To convert the given decimal to the fractional value by writing the given number without decimals and making the denominator equal to \(1\) followed by the zeroes and number of zeroes equal to the number of decimal places.

Example: Keerthi got \(\frac{1}{10}\) of the price of a T.V. as a discount. Find the discount in decimal. The part of the discount received by a Keerthi as a discount \(=\frac{1}{10}=0.1\)

Test Informative Blog

Solved Examples – Word Problems on Fractions

Q.1. In February \(2021\) , a school was working only three-fourths of the total number of days in the month and the remaining number of days given as holidays. How many days did the school work in the month of February? Ans: The year \(2021\) is a non-leap year. We know that a non-leap has \(28\) days in February month. So, the total number of days \(=28\). Given, the school was working only three-fourths of the total number of days in the month. The number of days school working in February month \(=\frac{3}{4}\) of \(28\). \(=\frac{3}{4} \times 28=21\) days Hence, the school working for \(21\) days in the month of February for the year \(2021\).

Q.2. Keerthi needs \(1 \frac{1}{2}\) cups of sugar for baking a cake. She decided to make \(6\) cakes for her friends. How many cups of sugar did she need for making the \(6\) cakes? Ans: Given, Keerthi needs \(1 \frac{1}{2}\) cup of sugar to make a cake. The total cups of sugar required to make 6 cakes is calculated by multiplying the sugar needed for one cake with the number of cakes that needs to be prepared by Keerthi and is given by \(1 \frac{1}{2} \times 6\) Convert the above-mixed fraction to an improper fraction by multiplying the denominator with the whole and add to the numerator keeping the same denominator as \(1 \frac{1}{2}=\frac{(\text { whole×denominator })+\text { numerator })}{\text { denominator }}=\frac{(1 \times 2)+1}{2}=\frac{3}{2}\) The total cups of sugar needed for making \(6\) cakes \(=\frac{3}{2} \times 6=9\) Hence, Keerthi needs \(9\) cups of sugar to make \(6\) cakes.

Q.3. An oil container contains \(7 \frac{1}{2}\) litres of oil which are poured into \(2 \frac{1}{2}\) litres bottles. How many bottles are needed to fill \(7 \frac{1}{2}\) litres of oil? Ans: Given, a container holds total oil of \(7 \frac{1}{2}\) litres, and the total amount held by each bottle is \(2 \frac{1}{2}\) litres. Consider the number of bottles required is \(x\). From the given question, the total oil in the container is equal to the product of oil in each bottle and the number of bottles required. \(\Rightarrow 7 \frac{1}{2}=x \times 2 \frac{1}{2}\) \(\Rightarrow \frac{15}{2}=x \times \frac{5}{2}\) \(\Rightarrow 15=5 x\) \(\Rightarrow x=\frac{15}{5}=3\) Therefore, \(3\) bottles are required to fill the total oil in the container.

Q.4. A square garden has the area \(\frac{36}{25} \,\text {sq.ft}\). Find the side of the square garden. Ans: Given the area of the square garden is \(\frac{36}{25} \,\text {sq.ft}\). Let the length of the side of the square garden is \(a\) fts. We know that area of the square \( = {\rm{side}} \times {\rm{side}} = {a^2}\) Thus, \(a^{2}=\frac{36}{25}\) \(\Rightarrow a=\sqrt{\frac{36}{25}}=\frac{\sqrt{36}}{\sqrt{25}}=\frac{6}{5}\) feet. Hence, the length of the side of the square garden is \(\frac{6}{5}\) feet.

Q.5. At a party, total \(280\) ice-creams are prepared. Four-seventh of them is eaten by the children. Find the ice-creams eaten by the children. Ans: Total ice-creams prepared \(=280\) Number of ice-creams eaten by children \(=\frac{4}{7}\) of \(280=\frac{4}{7} \times 280=160\) Hence, children ate \(160\) ice-creams.

In mathematics, a fraction is used to represent a piece of something larger. It depicts the whole’s equal pieces. The numerator and denominator are the two elements of a fraction. The numerator is the number at the top, while the denominator is the number at the bottom. The numerator specifies the number of equal parts taken, whereas the denominator specifies the total number of equal parts in the total.

In this article, we have studied the definitions of fractions,  different types of fractions. We also studied the word problems on fractions and their operations. This article gives the word problems on fractions, addition and subtraction of fractions, multiplication of fractions, division of fractions, the simplest form of fractions, conversion of fractions to percentage, decimals etc., with the help of solved examples.

FAQs on Word Problems on Fractions

Here are some of most commonly asked questions on word problems on fractions.

Q.1: How do you solve word problems with fractions?

Ans: To solve word problems with fractions, first, read and write the given data. Write the mathematical form by given data and perform the operations on fractions according to the data.

Q.2: How do you write a fraction division in word problems? 

Ans: The fraction division can be written as keeping the first fraction as it is and multiplying it with the reciprocal of the second fraction.

Q.3: How do you know when to divide or multiply fractions in a word problem?

Ans: To find the product, we need to multiply and to find any one of the quantities, we need to divide.

Q.4: What is an example of a fraction word problem?

Ans: Keerthi ate 40% of the pizza. How much is part of the pizza eaten by Keerthi.

Q.5: What is a fraction?

Ans: A fraction is a number that is used to express a part per whole.

Learn About Conversion Of Fractions

We hope this detailed article on Word Problem on Fractions helps you in your preparation. If you get stuck do let us know in the comments section below and we will get back to you at the earliest.

Stay tuned to Embibe to learn more important concepts

Related Articles

The leaf: types, structures, parts, sexual reproduction in flowering plants, types of autotrophic nutrition: detailed explanation, place value of numbers: detailed explanation, air pollution: know the causes, effects & more, genetics & evolution: detailed explanation, surface area of combination of cone and hemisphere, surface area of a cuboid, tricks to ace cuet 2023: preparation tips and study plan, magnetic field and field lines.

Embibe

39 Insightful Publications

World Economic Forum

Embibe Is A Global Innovator

accenture

Innovator Of The Year Education Forever

Interpretable And Explainable AI

Interpretable And Explainable AI

Tedx

Revolutionizing Education Forever

Amazon AI Conclave

Best AI Platform For Education

Forbes India

Enabling Teachers Everywhere

ACM

Decoding Performance

World Education Summit

Leading AI Powered Learning Solution Provider

Journal of Educational Data Mining

Auto Generation Of Tests

BW Disrupt

Disrupting Education In India

Springer

Problem Sequencing Using DKT

Fortune India Forty Under Fourty

Help Students Ace India's Toughest Exams

Edtech Digest

Best Education AI Platform

Nasscom Product Connect

Unlocking AI Through Saas

Tech In Asia

Fixing Student’s Behaviour With Data Analytics

Your Story

Leveraging Intelligence To Deliver Results

City AI

Brave New World Of Applied AI

vccircle

You Can Score Higher

INK Talks

Harnessing AI In Education

kstart

Personalized Ed-tech With AI

StartUpGrind

Exciting AI Platform, Personalizing Education

Digital Women Award

Disruptor Award For Maximum Business Impact

The Mumbai Summit 2020 AI

Top 20 AI Influencers In India

USPTO

Proud Owner Of 9 Patents

Unleash Your True Potential With Personalised Learning on EMBIBE

Pattern

Ace Your Exam With Personalised Learning on EMBIBE

Create a free account.

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

solving problems involving multiplication of fractions

Engage your students with effective distance learning resources. ACCESS RESOURCES>>

Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.

Math Problems, Tests, Forums

solving problems involving multiplication of fractions

Operations with Fractions: Problems with Solutions

Lesson Plan

Fractions and word problems, view aligned standards, learning objectives.

Students will be able to solve fraction word problems with tape diagrams.

Introduction

Fraction Word Problems: Pie Time

Intermediate

Fraction Word Problems: Examples

Lessons on solving fraction word problems using visual methods like bar models or tape diagrams.

Related Pages More Fraction Word Problems Harder Fraction Word Problems Singapore Math Lessons Fraction Problems Using Algebra

Here are some examples and solutions of fraction word problems. The first example is a one-step word problem. The second example shows how blocks can be used to help illustrate the problem. The third example is a two-step word problem.

More examples and solutions using the bar modeling method to solve fraction word problems are shown in the videos. The bar modeling method, also called tape diagrams, are used in Singapore Math and the Common Core.

3 units = 24 1 unit = 24 ÷ 3 = 8 5 units = 5 × 8 = 40

There were 40 children in the group.

He sold 80 teddy bears.

Step 2: Find how much money he received. 80 × 12 = 960

He received $960.

Bar Modeling With Fractions

How To Solve Real World Problems Involving Multiplication Of Fractions By Using Visual Fraction Models Or Equations To Represent The Problem?

How To Solve Word Problems Using Tape Diagrams And Fraction-By-Fraction Multiplication?

Mathway Calculator Widget

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

IMAGES

  1. Fractions Problem Solving Worksheets

    solving problems involving multiplication of fractions

  2. Multiplying Fractions With Variables And Exponents

    solving problems involving multiplication of fractions

  3. Ms. Jean's Classroom Blog: 5-8 Solving Equations by Multiplying Fractions

    solving problems involving multiplication of fractions

  4. Multiplying Fractions Word Problems Pdf

    solving problems involving multiplication of fractions

  5. Adding And Subtracting Fractions Word Problems Worksheets 5th Grade

    solving problems involving multiplication of fractions

  6. Fraction Multiplication

    solving problems involving multiplication of fractions

VIDEO

  1. multiplication of fractions

  2. how to multiply fraction

  3. Solving problems involving Multiplication of Whole Numbers (AGONSA)

  4. HOW TO SOLVE MULTIPLICATION OF FRACTION.my simple maths

  5. multiplying fractions

  6. Solving Problems Involving Multiplication of Whole Numbers [TAGALOG] MELC BASED

COMMENTS

  1. Multiplying fractions (practice)

    Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.

  2. Multiplying fractions word problems

    Multiplying fractions word problems Including estimating These grade 5 word problems involve the multiplication of common fractions by other fractions or whole numbers. Some problems ask students between what numbers does the answer lie? Answers are simplified where possible. Worksheet #1 Worksheet #2 Worksheet #3 Worksheet #4

  3. Multiply fractions word problems (practice)

    Multiplying fractions word problems Multiply fractions word problems CCSS.Math: 5.NF.B.6 Google Classroom Priya spent 1\dfrac12 121 days hiking. She was lost \dfrac56 65 of the time that she was hiking. What fraction of a day was Priya lost? days Stuck? Review related articles/videos or use a hint. Report a problem 7 4 1 x x y y \theta θ \pi π 8 5

  4. Solving Problems by Multiplying and Dividing Fractions and Mixed Numbers

    First, we will convert each mixed number into an improper fraction. Solution: Answer: The warehouse will have 2 and 2/25 pieces of tape. Summary: In this lesson we learned how to solve word problems involving multiplication and division of fractions and mixed numbers. Exercises Directions: Subtract the mixed numbers in each exercise below.

  5. Solving Problems involving Multiplication of Fractions

    Solve routine or non-routine problems involving multiplication without or with addition or subtraction of fractions and whole numbers using appropriate probl...

  6. Multiplying fractions word problems

    Word problem worksheets: Multiply fractions by whole numbers Below are three versions of our grade 4 math worksheet with word problems involving the multiplication of fractions by whole numbers. students are asked to answer and interpret word problems where fractional amounts are multiplied by whole numbers.

  7. Solve Real World Problems Involving Multiplication of Fractions and

    Example Question #1 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6 Jess collected of a bag of leaves. Sam collected times as many bags as Jess. How many bags did Sam collect? Possible Answers: Correct answer: Explanation:

  8. Fraction Multiplication Word Problems Worksheets

    Multiplying Fractions by Cross Cancelling Word Problems Grade 4, grade 5, and grade 7 kids will gain an advantage over their peers by solving this exclusive multiplying fractions word problems worksheet accurately. That the set heavily relies on cross cancelling makes the job easy! Multiplying Mixed Numbers Word Problems

  9. Problem solving involving multiplication of fractions

    Problem solving involving multiplication of fractions - Summary: In this lesson we learned how to solve word problems involving multiplication and division of. Math Guide. Problem solving involving multiplication of fractions.

  10. Word problems involving multiplication of fractions

    Multiplying Fractions Word Problems Example Rachel's Famous Cookies sold 2/3 as many sugar cookies as peanut butter cookies. If they sold 1/4 ... Solving Problems involving Multiplication of Fractions. Multiplying Fractions Word Problems. For each word problem, multiply the fractions together to find the answer. ...

  11. Multiplying Fractions

    ♫ "Multiplying fractions: no big problem, Top times top over bottom times bottom. "And don't forget to simplify, Before it's time to say goodbye" ♫ Fractions and Whole Numbers. What about multiplying fractions and whole numbers? Make the whole number a fraction, by putting it over 1. Example: 5 is also 5 1. Then continue as before. Example:

  12. Problem solving involving multiplication of fractions

    Solving Problems involving Multiplication of Fractions Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6 : Example Question #7 Liz collected \ 271+ Math Tutors 72% Recurring customers

  13. How to Solve Word Problems Involving the Multiplication of Fractions

    Step 1: Read the given word problem. Look for the two fractions that are in the problem. Identify any keywords that suggest that the two fractions will be multiplied. The most common...

  14. Multiplying Fractions Lesson Plan

    Solve real-world problems involving multiplication of fractions and mixed numbers. Instructions Ask students a series of simple multiplication problems (2 * 2, 3 * 4, etc.). Then ask...

  15. Form 1 Unit 3: Lesson 9

    Objective. At the end of this lesson, student should be able to solve problems involving fractions. Before you attempt solving a problem, read the question several times to make sense of it, decode it and interpret it to yourself. Then take it step by step. Some problems will involve one step. Others will involve two or more steps.

  16. Thinking Blocks Fractions

    Understand a fraction a/b with a > 1 as a sum of fractions 1/b. Join and separate parts referring to the same whole. Solve word problems involving addition and subtraction of fractions. referring to the same whole and having like denominators. Solve word problems involving multiplication of a fraction by a whole number.

  17. Word Problems on Fractions: Types with Examples

    The fraction problem solving consist of a few sentences describing a real-life scenario where a mathematical calculation of fraction formulas are used to solve a problem. Example: Keerthi took one piece of pizza, which is cut into a total of four pieces. Find the fraction of the pizza taken by Keerthi?

  18. 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.

  19. IXL

    IXL | Multiply fractions: word problems | 6th grade math Learning Assessment Analytics Inspiration Membership Math Language arts Science Social studies Spanish Recommendations Skill plans IXL plans Virginia state standards Textbooks Test prep Awards First time here? Pre-K through 12th grade Sign up now

  20. Illustrative Mathematics

    Standard Solve real world problems involving multiplication of fractions and mixed numbers, ... Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. View all 5.NF.B.6 Tasks Download all tasks for this grade Tasks. Running to School

  21. Operations with Fractions: Problems with Solutions

    Determine the value of the fraction sum [tex]\frac{5}{11}+\frac{13}{22}[/tex]

  22. Fractions and Word Problems

    Ask for a volunteer to come to the board and solve the problem using a tape diagram. Remind students that a tape diagram, or bar model, is a visual model that use rectangles to represent the parts of a whole. Tell students that today they'll show their understanding of fractions by solving word problems that involve fractions.

  23. Fraction Word Problems: Examples

    How To Solve Real World Problems Involving Multiplication Of Fractions By Using Visual Fraction Models Or Equations To Represent The Problem? Examples: At the animal shelter 4/6 of the animals are cats. Of the cats 1/2 are male. What fraction of the animals at the shelter are male cats? A taco recipe called for 2/3 cup of cheese per taco.