Homework Helper _ Lesson 5 Hands On: Use

Name
Number and Operations − Fractions
5.NF.4, 5.NF.4a, 5.NF.4b
Lesson 5
Hands On: Use
Models to Multiply
Fractions
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Homework Helper
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2
Find _ × _. Write in simplest form.
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2
1
1
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To find _ × _, find the area of a _ -by _ -unit rectangle.
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5
2
2
The square is divided into 5 equal rows since the
denominator of the first fraction is 5.
The square is divided into 2 equal columns since the
denominator of the second fraction is 2.
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The portion of the model where _ and _ intersect
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2
5
is shaded.
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There are 2 sections of the model that are shaded.
Write a fraction that compares the number of
shaded sections to the total number of sections.
number of shaded sections
total number of sections
2
1
___
= __
10
5
Simplify.
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1
2
1
So, _ × _ = _ or _.
5
2
10
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Practice
Copyright © The McGraw-Hill Companies, Inc.
Shade the models to find each product. Write in simplest form.
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1
1. _ × _ =
2
2
4
1
2. _ × _ =
5
2
Lesson 5 My Homework737
Problem Solving
Draw models to help you solve Exercises 3–6.
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3. Charlotte spent _ of the day shopping at the mall. She
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1
spent _ of this time trying on jeans. What fraction of
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the day did Charlotte spend trying on jeans?
4. Ms. Hendricks is buying a rectangular piece of land that
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is _ mile on one side and _ mile on an adjacent side.
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What is the area of the piece of land?
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5. Katenka cross country skied a trail that was _ mile each
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2
way. After skiing _ of the trail, she turned around. What
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6.
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Use Math Tools Merriam spent _
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4
of her allowance at the mall. Of the money spent at
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the mall, _ was spent on new earrings. What part of
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her allowance did Merriam spend on earrings?
7. Lexi ate some of the apples that her mother brought
home from the farmer’s fair. One-half of the apples
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were left over. Starr ate _ of the apples that were
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left over. What fraction of the apples did Starr eat?
738Chapter 10 Multiply and Divide Fractions
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fraction of a mile did Katenka ski before she turned
around?