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Name
Number and Operations − Fractions
5.NF.4, 5.NF4a, 5.NF.6
Lesson 3
Hands On:
Model Fraction
Multiplication
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2
Find 5 × 5 using models. Write in simplest form.
Each model below is divided into 5 equal sections since the
denominator is 5.
+
+
+
+
=
2
Of each model, _ is shaded. There are 2 sections of each model
5
that are shaded.
Add. A total of 10 sections of the models are shaded.
2
The last two models show the product of 5 × .
5
2
10
5× =
5
5
=2
number of shaded sections
number of sections
2
5 × _ is the same
Simplify.
5
as 2 × 5 ÷ 5.
2
So, 5 × = 2.
5
Practice
Copyright © The McGraw-Hill Companies, Inc.
Shade the models to find each product. Write in simplest form.
2
1. 4 × =
+
+
3 × =
2
4
+
=
3
2.
+
=
Lesson 3 My Homework723
Problem Solving
4
Model Math Use models to help you
solve Exercises 3–5. Then complete the equation.
3. Melinda spent 4 hours reviewing for her midterm
exams. She spent
1
of the time studying for social
4
studies. How many hours did she spend on social
studies?
1
Equation: 4 × = 4 ÷
4
, or
4. Cody wants to watch a new movie that is 3 hours long.
1
He has watched of the movie so far. What fraction of
6
1
Equation: 3 × = 3 ÷
6
, or
5. The distance from Paula’s house to school is 5 miles.
There is a set of railroad tracks one-fourth of the
distance away from her house. How many miles away
are the railroad tracks from Paula’s house?
1
Equation: 5 × = 5 ÷
4
, or
724Chapter 10 Multiply and Divide Fractions
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one hour did Cody spend watching the new movie?