# Lesson 5 Relate Division and Fractions

Let’s explain the relationship between division and fractions.

## Warm-up True or False: Interpret Fractions

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

## Activity 1 Relate Pounds to People

## Problem 1

Fill in the blanks to match the rules in the table.

Each person gets pound(s) of blueberries.

more than 1

exactly 1

less than 1

people share 7 pounds of blueberries

people share pounds of blueberries

Three people share pounds of blueberries

people share pounds of blueberries

How many pounds of blueberries did each person get when they got more than 1 pound of blueberries?

How many pounds of blueberries did each person get when they got less than 1 pound of blueberries?

## Problem 2

Work with your group to make a poster that shows or explains your thinking about the questions below.

What is true about all of the pairs of numbers that were used when each person got less than 1 pound of blueberries?

What is true about all of the pairs of numbers that were used when each person got more than 1 pound of blueberries?

What is true about all of the pairs of numbers that were used when each person gets exactly

pound of blueberries?

## Activity 2 Why Does It Work?

What numbers can replace the question marks in each equation? Explain your reasoning.

Work with your partner to explain why any division expression can be interpreted as a fraction. You can use diagrams, expressions, equations, and words.

(Pause for teacher directions.)

## Practice Problem

## Problem 1

Decide whether each equation is true or false. Explain or show your reasoning.

. . .