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Name
Number and Operations — Fractions
4.NF.4, 4.NF.4a, 4.NF.4b, 4.NF.4c
Lesson 8
Hands On: Model
Fractions and
Multiplication
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Write _ as a multiple of a unit fraction.
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3
Model _ using fraction tiles.
6
1
6
1
6
1
6
3
1
_
is a multiple of _ because
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6
3
1
the product of 3 and _ is _ .
6
6
1
There are 3 of the _ -tiles.
6
3
1
So, _ = 3 × _ .
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6
2
Use an equation to write 4 × __
3 as a multiple of a unit fraction.
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2
2
2
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Use repeated addition to write 4 × _ as _ + _ + _ + _.
3
3
3
3
3
2
2
2
8
2
_
+_+_+_=_
3
3
3
3
3
2
1
8
So, _ is a multiple of _. It is also a multiple of _.
3
3
3
8
1
_
=8×_
3
3
1
2
So, 4 × _ = 8 × _.
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3
Copyright © The McGraw-Hill Companies, Inc.
Practice
Algebra Use an equation to write each fraction as a multiple
of a unit fraction.
1.
1
6
5
_
6
1
6
1
6
1
6
1
6
2.
1 1 1 1 1 1 1 1
10 10 10 10 10 10 10 10
8
_
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Lesson 8 My Homework611
Algebra Use an equation to write each fraction or product as
a multiple of a unit fraction.
3
3. _
8
7
4. _
12
6
5. _
10
4
6. _
5
4
7. 3 × _
5
2
8. 5 × _
5
6
9. 8 × _
10
8
10. 7 × _
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Problem Solving
11.
4
Model Math Marcia has one cup of tea each day
5
12. Sam buys 4 tropical fish. Each fish is _ of an inch long. Write an
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5
equation that represents 4 × _ as a multiple of a unit fraction.
8
612Chapter 9 Operations with Fractions
Copyright © The McGraw-Hill Companies, Inc.
2
for 7 days. She puts _ tablespoons of honey in each cup of tea.
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2
Write an equation that represents 7 × _ as a multiple of a unit fraction.
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