# Illustrative Mathematics Unit 6.4, Lesson 9: How Much in Each Group? (Part 2)

Learning Targets:

• I can find the amount in one group in different real-world situations.

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Illustrative Math

### Lesson 9: How Much in Each Group? (Part 2)

Let’s practice dividing fractions in different situations.

Illustrative Math Unit 6.4, Lesson 9 (printable worksheets)

### Lesson 9 Summary

The following example shows how to use diagrams and multiplication and division equations to find the amount in one group. ### Lesson 9.1 Number Talk: Greater Than 1 or Less Than 1?

Decide whether each of the following is greater than 1 or less than 1.

1. ½ ÷ ¼
2. 1 ÷ ¾
3. ⅔ ÷ ⅞
4. 2⅞ ÷ 2⅗

### Lesson 9.2 Two Water Containers

• Show Water Containers 1. After looking at these pictures, Lin says, “I see the fraction ⅖.” Jada says, “I see the fraction ¾.” What quantities are Lin and Jada referring to?
2. How many liters of water fit in the water dispenser?
Write a multiplication equation and a division equation for the question, then find the answer. Draw a diagram, if needed. Check your answer using the multiplication equation.

#### Lesson 9.3 Amount in One Group

Write a multiplication equation and a division equation and draw a diagram to represent each situation and question. Then find the answer. Explain your reasoning.

1. Jada bought 3½ yards of fabric for \$21. How much did each yard cost?
2. 4/9 kilogram of baking soda costs \$2. How much does 1 kilogram of baking soda cost?
3. Diego can fill 1⅕ bottles with 3 liters of water. How many liters of water fill 1 bottle?
4. 5/4 gallons of water fill 5/6 of a bucket. How many gallons of water fill the entire bucket?

#### Are you ready for more?

The largest sandwich ever made weighed 5,440 pounds. If everyone on Earth shares the sandwich equally, how much would you get? What fraction of a regular sandwich does this represent?

#### Lesson 9 Practice Problems

1. A group of friends is sharing 3½ pounds of berries.
a. If each friend received 5/4 of a pound of berries, how many friends are sharing the berries?
b. If 5 friends are sharing the berries, how many pounds of berries does each friend receive?
b. Priya has picked 1½ cups of raspberries, which is enough for ¾ of a cake. How many cups does she need for the whole cake?
2. ⅔ kilogram of soil fills ⅓ of a container. Can 1 kilogram of soil fit in the container? Explain or show your reasoning.
3. After raining for ¾ of an hour, a rain gauge is ⅖ filled. If it continues to rain at that rate for 15 more minutes, what fraction of the rain gauge will be filled?
a. To help answer this question, Diego wrote the division equation ¾ ÷ ⅕. Explain why this equation does not represent the situation.
b. Write a multiplication equation and a division equation that does represent the situation.
4. 3 tickets to the museum cost \$12.75. At this rate, what is the cost of:
a. 1 ticket?
b. 5 tickets?
5. Elena went 60 meters in 15 seconds. Noah went 50 meters in 10 seconds. Elena and Noah both moved at a constant speed.
a. How far did Elena go in 1 second?
b. How far did Noah go in 1 second?
c. Who went faster? Explain or show your reasoning.
6. The first row in the table shows a recipe for 1 batch of trail mix. Complete the remaining rows with recipes for 2, 3, and 4 batches of the same type of trail mix.
 number of batches cups of cereal cups of almonds cups of raisins 1 2 3 4

The Open Up Resources math curriculum is free to download from the Open Up Resources website and is also available from Illustrative Mathematics.

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