# Lesson 19 Compare to 1

• Let’s explain what happens when we multiply a fraction by a fraction greater than, less than, or equal to 1.

## Warm-up What Do You Know About …?

What do you know about ?

## Activity 1 Compare Fraction Products on the Number Line

1. Match the expressions and number lines that show the same value.

2. Choose one of the expressions from each set and explain whether the value is greater than or less than the second factor.

## Problem 1

Rewrite each expression as a sum or difference of 2 products.

## Problem 2

Fill in each blank with or to make the inequality true.

1. $\phantom{\rule{0.167em}{0ex}}\frac{4}{7}$

2. $\phantom{\rule{0.167em}{0ex}}\frac{4}{7}$

3. $\phantom{\rule{0.167em}{0ex}}\frac{4}{7}$

4. $\phantom{\rule{0.167em}{0ex}}\frac{4}{7}$

## Problem 3

1. Describe the value of the product when is multiplied by a fraction greater than 1. Explain your reasoning.

2. Describe the value of the product when is multiplied by a fraction less than 1. Explain your reasoning.

## Problem 1

Use the equation to explain why .