# 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 | about right | 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

What is the same about the diagrams?

What is different?

Find the value that makes the equation true.

Han drew this diagram to represent

. Explain how the diagram shows

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

## Activity 2 Priya’s Work

## Problem 1

Find the value of

## Problem 2

This is Priya’s work for finding the value of

What questions do you have for Priya?

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

## Activity 3 Look for Patterns

## Problem 1

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

## Problem 2

What patterns do you notice?

How would you find the value of

divided by any whole number? Explain or show your reasoning.

## Practice Problem

## Problem 1

Use the diagram to represent the expression

. Explain how the diagram shows

. What is the value of

?