# Lesson 5

How Many Groups? (Part 2)

Let’s use blocks and diagrams to understand more about division with fractions.

### Problem 1

Use the tape diagram to find the value of $$\frac12\div\frac13$$. Show your reasoning.

### Problem 2

What is the value of $$\frac12\div\frac13$$? Use pattern blocks to represent and find this value. The yellow hexagon represents 1 whole. Explain or show your reasoning.

### Problem 3

Use a standard inch ruler to answer each question. Then, write a multiplication equation and a division equation that answer the question.

1. How many $$\frac12$$s are in 7?

2. How many $$\frac38$$s are in 6?

3. How many $$\frac{5}{16}$$s are in $$1\frac78$$?

### Problem 4

Use the tape diagram to answer the question: How many $$\frac25$$s are in $$1\frac12$$? Show your reasoning.

### Problem 5

Write a multiplication equation and a division equation to represent each sentence or diagram.

1. There are 12 fourths in 3.

2. How many $$\frac 23$$s are in 6?

(From Unit 4, Lesson 4.)

### Problem 6

At a farmer’s market, two vendors sell fresh milk. One vendor sells 2 liters for $3.80, and another vendor sells 1.5 liters for$2.70. Which is the better deal? Explain your reasoning.

(From Unit 3, Lesson 5.)

### Problem 7

A recipe uses 5 cups of flour for every 2 cups of sugar.

1. How much sugar is used for 1 cup of flour?

2. How much flour is used for 1 cup of sugar?

3. How much flour is used with 7 cups of sugar?

4. How much sugar is used with 6 cups of flour?
(From Unit 3, Lesson 6.)