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Unit 3, Lesson 5

Multiply a Unit Fraction by a Non-Unit Fraction

Grade 5

Warm-up

What is the area of the shaded region?

Diagram. Square, length and width, 1. Rectangle with length of about 1 half and width of about 3 fifths shaded.

Record an estimate that is:

too low	about right	too high

Activity 1

Represent the shaded region in each diagram. Write a multiplication expression.

A

B

C
What patterns do you notice in the multiplication expressions?
Han writes this equation to represent the area of the shaded region. How does the diagram represent the equation? Explain or show your reasoning.

Activity 2

Represent the area of the shaded region. Write a multiplication expression.

Square, length and width, 1. Rectangle portion shaded, about 3 fourths of the length and 1 half of the width. — 1.

Square. Length and width, 1. Rectangle with width of about 2 thirds and length of about 1 fourth shaded. — 2.

Square, length and width, 1. Rectangle portion shaded, about 3 fourths of the length and 1 third of the width. — 3.

Diagram. Rectangle. Length, 2. Width, 1. Rectangle of length about 3 halves and width about 1 fifth shaded. — 4.