Lesson 6.2.2Whole Number Division by a Fraction

1

Divide Whole Numbers by Unit Fractions

1) 2 How many halves are in 2 wholes?

2) 3 How many halves are in 3 wholes?

3) 6 How many halves are in 6 wholes?

4) 1 How many thirds are in 1 whole?

5) 2 How many thirds are in 2 wholes?

6) 7 How many thirds are in 7 wholes?

2

Divide Unit Fractions by Whole Numbers

1)

2)

3)

4)

3

Amy is making raisin bread. She has 2 cups of raisins to divide equally among 3 batches of dough. How many cups should Amy put into each batch?

Application Problem

4

Amy is making raisin bread. She has 2 cups of raisins to divide equally among 3 batches of dough. How many cups should Amy put into each batch?

Application Problem

5

1 cup 1 cup1 batch 1 batch 1 batch

This shows that 2 Amy should put cups in each batch.

Terms to Know

The 5 problems in Example 1, will be measurement division. What is measurement division?

When we know the original amount and the size or measure of one part, we use measurement division to find the number of parts.

How many _____ are in _____?

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Measurement Division

?

Example 1

Group 1: How many half-miles are in

12 miles?

7

Example 1

Group 2: How many quarter hours

are in 5 hours?

8

Example 1

Group 3: How many one-third cups

are in 9 cups?

9

Example 1

Group 4: How many one-eighth pizzas are in 4 pizzas?

10

Example 1

Group 5: How many one-fifths are in 7 wholes?

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Molly used 9 cups of flour to bake bread. If this was 3/4 of the total amount of flour she started with, what was the original amount of flour?

Example 2

Compare this question to those in Practice Problem 1. What is different about this question?

a) Create a model to represent what the question is asking.

b) Explain how you would determine the answer using the model.

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Molly used 9 cups of flour to bake bread. If this was 3/4 of the total amount of flour she started with, what was the original amount of flour?

Example 2

13

9

12

The tape model shows . Because

the 3 shaded portions represent

9, the unit is 3. The whole model

has 4 parts. 3 units x 4 parts = 12 cups of flour.

Exercise 1

A construction company is setting up signs on 4 miles of the road. If the company places a sign every 1/8 of a mile, how many signs will it need?

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Exercise 2

George bought 12 pizzas for a birthday party. If each person will eat 3/8 of a pizza, how many people can George feed with 12 pizzas?

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Exercise 3

The Lopez family has adopted 6 miles of the Trace. If each family member cleans up 3/4 of a mile, how many family members will be needed to clean the adopted section?

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Exercise 4

Margo is freezing cups of strawberries. If 𝟖this is of the total strawberries that were 𝟐𝟑picked, how many cups of strawberries did Margo pick?

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Exercise 5

Regina is chopping up wood. She has chopped 10 logs so far. If the 10 logs represent 5/8 of all the logs that need to be chopped, how many logs need to be chopped in all?

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Exit TicketSolve each division problem using a model.

1. Henry bought 4 pies which he plans to share with a group of his friends. If there is exactly enough to give each member of the group one-sixth of the pie, how many people are in the group?

2. Rachel completed 3/4 of her cleaning in 6 hours. How many total hours will Rachel spend cleaning?

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