Homework 13-9
Name
Equal Areas
and Fractions
Another Look!
You can use equal areas to model unit fractions.
Here’s one way.
Draw a line to separate the square into
2 equal parts. Since each part has the
same area, it is 12 of the whole.
You can divide these
squares into two equal
parts in different ways.
Here’s another way.
Draw a line to separate the square into
2 equal parts. Since each part has the
same area, it is 12 of the whole.
For 1 and 2, draw lines to show two ways to separate
the rectangle into equal parts.
1. 4 equal parts
2. 6 equal parts
In each square, what is the fraction
that shows the area of one of the
parts? What is the area of each part?
3. Connect What is the area of the large
rectangle in Exercise 2? How many times
larger is the area of the large rectangle
than the area of each part? Explain.
In each rectangle, what is the fraction
that shows the area of one of the
parts? What is the area of each part?
You can use
multiplication or
addition to solve.
Digital Resources at PearsonTexas.com
Topic 13 Lesson 13-9
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4. Draw a Picture Mark and his
friends made a pizza to share
equally among 6 people. Draw
lines to show how to divide the
pizza into 6 equal pieces. What
fraction shows the area of one of
the pieces?
5. Analyze Information Rosa used the
sorting rule “has fewer than 6 vertices” to
sort these solid figures. Circle the figures
that fit Rosa’s sorting rule.
6. Mai drew the design shown below. Each
rectangle in the design has the same
area. Which fraction shows the area of
one of the rectangles?
A 18
B 16
C 14
D 13
7. Construct Arguments The picture at the right
shows how Casey divided a sheet of wrapping
paper. Casey says that each piece is 18 of the whole
sheet. Is Casey correct? Why or why not?
8. Extend Your Thinking Chester divided this shape into two
equal parts. Draw another line so the shape is divided into
four equal parts. How do you know you divided the shape
into four equal parts?
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