## Word Problems with Fractions

Today we are going to look at some examples of word problems with fractions.

- Read the problem carefully.
- Think about what it is asking us to do.
- Think about the information we need.
- Simplify, if necessary.
- Think about whether our solution makes sense (in order to check it).

As you can see, the only difference in fraction word problems is step 5 (simplify) .

In my fruit basket, there are 13 pieces of fruit, 5 of which are apples.

How can we express the number of apples as a fraction?

## Word problems with fractions: involving two fractions

In these problems, we should remember how to carry out operations with fractions.

Carefully read the following problem and the steps we have taken to solve it:

What fraction of the payment has Maria spent?

We find the common denominator:

## Word problems with fractions: involving a fraction and a whole number

We convert 1 into a fraction with the same denominator:

What do you think of this post? Do you see how easy it is to solve word problems with fractions?

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## Fraction Word Problems: Examples

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

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

There were 40 children in the group.

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

## Bar Modeling With Fractions

- Grace thought that a plane journey would take 7/10 hr but the actual journey took 1/5 hr longer. How long did the actual journey take?
- Timothy took 2/3 hr to paint a portrait. This was 1/3 hr shorter than the time he took to paint scenery. How long did he take to paint scenery?

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

- 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. If Andrew wanted to make 3 tacos, how much cheese would he need?

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

- Ethan is icing 30 cupcakes. He spreads mint icing on 1/5 of the cupcakes and chocolate on 1/2 of the remaining cupcakes. The rest will get vanilla frosting. How many cupcakes have vanilla frosting?
- Maddox puts 1/4 of her lawn-mowing money in savings and uses 1/2 of the remaining money to pay back her sister. If she has $15 left, how much did she have at first?

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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.

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

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

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

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

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.

- Add fractions with like denominators.
- Subtract fractions with like denominators.
- Find the LCD.
- Add fractions with unlike denominators.
- Subtract fractions with unlike denominators.
- Add mixed numbers with like denominators.
- Subtract mixed numbers with like denominators.
- Add mixed numbers with unlike denominators.
- Subtract mixed numbers with unlike denominators.

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## Word Problems on Fraction

= 21 × 7 = 147 Therefore, the number is 147.

3. If 3\(\frac{1}{2}\) m of wire is cut from a piece of 10 m long wire, how much of wire is left?

Total length of the wire = 10 m

Fraction of the wire cut out = 3\(\frac{1}{2}\) m = \(\frac{7}{2}\) m

Length of the wire left = 10 m – 3\(\frac{1}{2}\) m

= [\(\frac{10}{1}\) - \(\frac{7}{2}\)] m, [L.C.M. of 1, 2 is 2]

= [\(\frac{20}{2}\) - \(\frac{7}{2}\)] m, [\(\frac{10}{1}\) × \(\frac{2}{2}\)]

Fraction of girls studying in school = 1/2

Fraction of girls studying in lower classes = 3/5 of 1/2

Therefore, 3/10 of girls studying in lower classes.

Questions and Answers on Word problems on Fractions:

## You might like these

## Types of Fractions |Proper Fraction |Improper Fraction |Mixed Fraction

## Equivalent Fractions | Fractions |Reduced to the Lowest Term |Examples

## Subtraction of Fractions having the Same Denominator | Like Fractions

## Comparison of Like Fractions | Comparing Fractions | Like Fractions

## Comparison of Fractions having the same Numerator|Ordering of Fraction

## Like and Unlike Fractions | Like Fractions |Unlike Fractions |Examples

## Fraction of a Whole Numbers | Fractional Number |Examples with Picture

## Worksheet on Equivalent Fractions | Questions on Equivalent Fractions

## Worksheet on Addition of Like Fractions | Addition of Fractions

## Worksheet on Subtraction of Like Fractions |Subtracting Like Fractions

● Multiplication is Repeated Addition.

● Multiplication of Fractional Number by a Whole Number.

● Multiplication of a Fraction by Fraction.

● Properties of Multiplication of Fractional Numbers.

● Worksheet on Multiplication on Fraction.

● Division of a Fraction by a Whole Number.

● Division of a Fractional Number.

● Division of a Whole Number by a Fraction.

● Properties of Fractional Division.

● Worksheet on Division of Fractions.

● Simplification of Fractions.

● Worksheet on Simplification of Fractions.

● Worksheet on Word Problems on Fractions.

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## Unit 6: Lesson 6

Multiplying fractions word problem: muffins.

- Multiplying fractions word problem: laundry
- Multiplying fractions word problem: bike
- Multiply fractions: FAQ

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## Video transcript

## Solving Word Problems By Multiplying Fractions

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## IMAGES

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Word Problems with Fractions · Read the problem carefully. · Think about what it is asking us to do. · Think about the information we need. · Solve

Use this as a lesson with Edpuzzle at https://edpuzzle.com/media/5fa58725d7840f40bf7f722f.

Check out this original InstructaBeats lesson on how to solve fraction multiplication word problems using a tape diagram#Instructabeats

Solve fraction word problems: using key words and picturesIn this lesson you will learn how to solve fraction word problems by using key

How To Solve Word Problems Using Tape Diagrams And Fraction-By-Fraction Multiplication? · Ethan is icing 30 cupcakes. He spreads mint icing on 1/5 of the

Learn How to Solve Fraction Word Problems with Examples and Interactive Exercises Girl Bike · Add fractions with like denominators. · Subtract fractions with like

Word Problems on Fraction · 1. 4/7 of a number is 84. · 2. Rachel took 12 hour to paint a table and 13 hour to paint a chair. · 3. If 312 m of wire is cut from a

To solve, can't you also do 3/4 divided by 2? 3/4*1/2=3/8, right? Answer

This video shows how to solve two word problems involving fraction multiplication. This video demonstrates how the word of signifies that multiplication

Step 1: Read through the given word problem. If we are trying to find a fraction of a whole number we need to multiply the fraction and the whole number. Start