# Lesson 12 Represent Division of Unit Fractions by Whole Numbers

• Let’s make sense of diagrams that represent division of a unit fraction by a whole number.

## Warm-up Estimation Exploration: How Much is Shaded?

How much is shaded?

Record an estimate that is:

too low

too high

## Activity 1 Diagrams, Equations, Situations

Priya and Mai used the diagrams below to find the value of .

Priya’s diagram

Mai’s diagram

1. What is the same about the diagrams?

2. What is different?

3. Find the value that makes the equation true.

4. Han drew this diagram to represent . Explain how the diagram

shows .

5. Find the value that makes the equation true. Explain or show your reasoning.

## Problem 1

Find the value of . Explain or show your reasoning.

## Problem 2

This is Priya’s work for finding the value of :

because I divided into 2 equal parts and of is shaded in.

1. What questions do you have for Priya?

2. Priya’s equation is incorrect. How can Priya revise her explanation?

## Problem 1

Find the value that makes each equation true. Use a diagram if it is helpful.

## Problem 2

1. What patterns do you notice?

2. How would you find the value of  divided by any whole number? Explain or show your reasoning.

## Problem 1

1. Use the diagram to represent the expression .

2. Explain how the diagram shows  .

3. What is the value of ?