# Lesson 7

What Fraction of a Group?

Let’s think about dividing things into groups when we can’t even make one whole group.

### Problem 1

A recipe calls for $$\frac12$$ lb of flour for 1 batch. How many batches can be made with each of these amounts?

1. 1 lb
2. $$\frac34$$ lb
3. $$\frac14$$ lb

### Problem 2

Whiskers the cat weighs $$2\frac23$$ kg. Piglio weighs $$4$$ kg. For each question, write a multiplication equation and a division equation, decide whether the answer is greater than 1 or less than 1, and then find the answer.

1. How many times as heavy as Piglio is Whiskers?
2. How many times as heavy as Whiskers is Piglio?

### Problem 3

Andre is walking from his home to a festival that is $$1\frac58$$ kilometers away. He walks $$\frac13$$ kilometer and then takes a quick rest. Which question can be represented by the equation $${?} \boldcdot 1\frac58 = \frac13$$ in this situation?

A:

What fraction of the trip has Andre completed?

B:

What fraction of the trip is left?

C:

How many more kilometers does Andre have to walk to get to the festival?

D:

How many kilometers is it from home to the festival and back home?

### Problem 4

Draw a tape diagram to represent the question: What fraction of $$2\frac12$$ is $$\frac45$$?

### Problem 5

How many groups of $$\frac34$$ are in each of these quantities?

1. $$\frac{11}{4}$$
2. $$6\frac12$$
(From Unit 4, Lesson 6.)

### Problem 6

Which question can be represented by the equation $$4\div \frac27 = {?}$$

A:

What is 4 groups of $$\frac 27$$?

B:

How many $$\frac27$$s are in 4?

C:

What is $$\frac 27$$ of 4?

D:

How many 4s are in $$\frac27$$?

(From Unit 4, Lesson 4.)