Lesson 3 Interpret Equations

- Let’s use equations to show the relationship between division and fractions.

Warm-up What Do You Know About …?

What do you know about $\frac{3}{2}$ ?

Activity 1 Dehydrated Dancers

6 dancers.

Three dancers share 2 liters of water. How much water does each dancer get? Write a division equation to represent the situation.
Mai said that each dancer gets $\frac{3}{2}$ of a liter of water because 3 divided into 2 equal groups is $\frac{3}{2}$ . Do you agree with Mai? Show or explain your reasoning.

Activity 2 Interpret Expressions

Complete the table. Draw a diagram if it is helpful.
number of dancers
liters of water
division expression
amount of water each dancer drank in liters
$4$
$2$
$3 \div 4$
$3 \div 5$
$4$
$5$
What patterns do you notice in the table?

Practice Problem

Problem 1

Jada cuts an 11 inch strip of paper into 5 equal parts. How many inches long is each part?
Jada cuts a strip of paper into 5 equal parts. Each part is $\frac{7}{5}$ inches long. How long was the strip of paper?