# Lesson 5 Multiply a Unit Fraction by a Non-unit Fraction

Let’s multiply a unit fraction and a non-unit fraction.

## Warm-up Estimation Exploration: Shaded Rectangle

What is the area of the shaded region?

Record an estimate that is:

too low | about right | too high |
---|---|---|

## Activity 1 Write Equations

## Problem 1

Write a multiplication expression that represents the shaded region in each diagram.

## Problem 2

What patterns do you notice in the multiplication expressions?

Han wrote this equation to represent the area of the shaded region. Explain how the diagram represents the equation.

$\phantom{2.5cm}\phantom{\rule{0ex}{0ex}}\frac{6}{5}\times \frac{1}{3}=\frac{6}{15}$

## Activity 2 Estimate With Expressions

Write a multiplication expression that might represent the area of the shaded region. Be prepared to explain your reasoning.

## Practice Problem

## Problem 1

Write an expression for the area of the shaded region.

Explain how the diagram shows your expression.