# Lesson 9 Differences of Fractions

• Let’s explore differences of fractions on a number line.

## Warm-up True or False: Sums of Tenths

Decide if each statement is true or false. Be prepared to explain your reasoning.

## Problem 1

To subtract different fractions from , Noah draws “jumps” on number lines.

1. The first diagram shows how he finds . What is the value of ?

2. Write an equation to show the difference represented by each of Noah’s diagrams.

## Problem 2

Here is another diagram Noah draws:

Which equations could the diagram represent? Explain your reasoning.

## Problem 3

Use a number line to represent each difference and to find its value.

## Activity 2 What’s the Difference?

Use a number line to represent each difference and to find its value.

## Activity 3 Make a Jump, Subtraction Edition

Here are four number lines, each with a point on it. Label each point with a fraction it represents.

The point you labeled is your target.

• Pick a card from the set given to you. Locate and label the fraction on the number line.

• From that point, draw one or more jumps to reach the target. What do you need to subtract? Label each jump you draw.

• Write an equation to represent the difference of your two fractions.