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## Unit 2: Lesson 5

- Understanding division of fractions
- Dividing fractions: 2/5 ÷ 7/3
- Dividing fractions: 3/5 ÷ 1/2
- Dividing mixed numbers
- Writing fraction division story problems
- Dividing whole numbers & fractions: t-shirts
- Area with fraction division example
- Dividing fractions review

## Dividing fractions word problems

- Your answer should be
- an integer, like 6 6 6 6
- a proper fraction, like 1 / 2 1/2 1 / 2 1, slash, 2 or 6 / 10 6/10 6 / 1 0 6, slash, 10
- an improper fraction, like 10 / 7 10/7 1 0 / 7 10, slash, 7 or 14 / 8 14/8 1 4 / 8 14, slash, 8
- a mixed number, like 1 3 / 4 1\ 3/4 1 3 / 4 1, space, 3, slash, 4

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## Dividing Fractions Word Problems Worksheets

Dividing Fractions and Whole Numbers Word Problems

Dividing Fractions by Cross Cancelling Word Problems

Dividing Mixed Numbers Word Problems

Dividing Mixed Numbers and Fractions Word Problems

Themed Fraction Division Word Problems

» Adding Fractions Word Problems

» Subtracting Fractions Word Problems

» Multiplying Fractions Word Problems

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## Dividing fractions word problems

## Dividing fractions word problems: a few examples

3 friends share 4/5 of a pizza. what fraction of pizza does each person get?

Since the amount will be shared between 3 friends, the amount must be divided between 3 people.

So each person must get 4/5 divided by 3

(4 / 5) / 3 = (4 / 5) / (3 / 1) = 4 / 5 × 1 / 3 = (4 × 1) / (5 × 3)= 4 / 15

Indeed, 4 / 15 + 4 / 15 + 4 / 15 = 12 / 15 = 4/5 (divide 12 and 15 by 3 to get 4 / 5)

On June 21st, there were 9/10 of a billion stars visible to the naked eye.

On December 21st, there were 4/5 of a billion stars out visible to the naked eye.

How many times more stars were there visible on June 21st than December 21st?

Find the reciprocal of the divisor.

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## Word Problems with Division of Fractions

Today we are going to look at problems involving the division of fractions.

- Read the problem carefully.
- Think about what it asks us.
- Think about the details we need.
- Carry out the operation. In this case, you should know how to divide fractions
- Simplify the results, if possible.
- Think about whether the result makes sense.

If she divided ¾ of a pound into equal portions of 1/8 of a pound, how many portions did she make?

We divide by taking the reciprocal of the second fraction and multiplying:

Now, all we have left is to check that the solution makes sense, and we have solved the problem!

- Word Problems with Fractions
- Understanding the Division of Fractions
- Solve Fraction Problems with Halves, Thirds and Quarters
- Learn New Methods for Dividing Fractions
- Review and Practice the Two Methods of Dividing Fractions
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## Division with unit fractions

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## Dividing Fractions: Problems

## Think / Pair / Share

## When to Multiply, When to Divide?

Come up with a situation where you would want to compute .

My recipe calls for cups of flour, but I only want to make half a recipe. How much flour should I use?

Here are some division problems involving whole numbers:

- I have 10 feet of ribbon. How many 2-inch pieces can I cut from it?
- I have a fancy old clock that rings once every 15 minutes. How many times will it ring over the course of 2 hours (120 minutes)?
- My fish tank needs 6 gallons of water, and my bucket holds 3 gallons. How many times will I need to fill my bucket in order to fill the tank?
- A recipe calls for 6 cups of flour, and my largest scoop measures exactly 2 cups. How many times should I use it?
- I ran 12 miles and went around the the same route 3 times. How long was the route?

Here are some very similar problems, rewritten to use fractions instead:

For each one of the fraction division questions, we can understand why it’s a division problem:

- First write five different division word problems that use whole numbers. (Try to write at least a couple each of partitive and quotative division problems.)
- Then change the problems so that they are fraction division problems instead. You might need to rewrite the problem a bit so that it makes sense.
- Solve your problems!

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Since 2 contains 6 one-thirds, we can say that 2 divided by one-third is 6.

In example 2, it was necessary to divide out common factors.

In example 3, it was necessary to simplify the result.

Analysis: To solve this problem, we will divide 3/4 by 1/8.

Answer: There will be 6 pieces of candy.

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Welcome to Dividing Fractions Word Problems with Mr. J! Need help with dividing fractions story problems? You're in the right place!

Prepare the child through and through so they divide fractions and whole numbers with word problems. Let them take the reciprocal of the divisor and multiply it

Dividing fractions word problems: a few examples ... Example #1: An Italian sausage is 8 inches long. How many pieces of sausage can be cut from the 8-inch piece

Word Problems with Division of Fractions · Read the problem carefully. · Think about what it asks us. · Think about the details we need. · Carry out

Dividing Fractions Word Problems. For each word problem, divide the fraction by the whole number to find the answer. Show your working out.

Grade 5 word problem worksheets on unit fractions. Includes dividing whole numbers by unit fractions, dividing unit fractions by whole numbers and

(That is, write a word problem that would require you to do this computation to solve it.) When to Multiply, When to Divide? A common answer to. Come up with a

This Word Problems Worksheet will produce problems that focus on division with fractions. You have the option to select the range of denominators

Summary: To divide a first fraction by a second, nonzero fraction, multiply the first fraction by the reciprocal of the second fraction. Simplify the result, if