Name:
Date:
Complete the highlighted problems. You are
welcome to complete additional problems as well.
CHAPTER
Multiplying and Dividing
Fractions and Decimals
3
Lesson 3.1 Dividing Fractions
Express each improper fraction as a mixed number in simplest form.
1.
18
5
2.
27
6
3.
34
9
Express each mixed number as an improper fraction.
4. 4
1
6
5. 5
2
7
6. 9
3
8
Find each product in simplest form.
7.
4
2
3
9
7
8.
12
34
3
17
3
9.
15
64
3
8
9
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Divide. Draw a model to help you.
Example
54
1
3
5
5
5
15
10. 3 4
1
5
8
3
3
1
is the same
3
as multiplying by 3.
Dividing by
3
5
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11. 7 4
1
5
6
12. 8 4
3
1
5
5
Solve. Draw a model to find each quotient.
Example
1
Joshua cuts 3 strings into a number of equal pieces. Each piece is of a string.
2
Into how many pieces does Joshua cut the 3 strings?
Number of halves in 3 wholes 5
3
4
1
2
5
3
3
2
5
6
Joshua cuts the string into
6
pieces.
13. A jar contains 6 liters of water. It is poured equally into some bottles. Each bottle
contains
1
liter of water. How many bottles are there?
7
Number of bottles 5
4
5
3
There are
bottles.
1
14. George cut 7 tiles into pieces that were each of a tile. Into how many pieces
9
did George cut the 7 tiles?
46
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Date:
Divide. Express the quotient in simplest form.
Example
64
3
4
3
4
5
6
5
24
3
5
8
15. 4 4
3
3
4
3
4
3
4
3
4
3
4
3
4
4
3
3
is the same
4
4
as multiplying by .
3
Dividing by
2
3
2
3
5
3
4
2
3
2
3
2
3
2
3
2
3
3
5
5
16. 9 4
6
5
7
3
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5
5
17. 10 4
4
11
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Solve. Draw a model to find each quotient.
Example
A faucet can fill
3
of a container in a minute. If water flows out of the faucet at the same rate,
5
how long will it take the faucet to fill 3 such containers?
3
5
3
5
3
5
3
5
Number of three-fifths in 3 wholes 5
3
4
5
3
3
5
15
3
5
5
It will take the faucet
18. A gardener uses
5
3
5
3
5
5
3
minutes to fill the 3 containers.
5
of a pail of water to water a plot of land. How many similar
8
plots of land can the gardener water with 5 such pails of water?
5
8
5
8
5
8
5
8
Number of five-eighths in 5 wholes 5
4
5
3
5
8
5
8
5
5
The gardener can water
48
similar plots of land with 5 such pails of water.
5
8
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19. Alex is painting some sculptures. He uses
4
of a tube of paint for each sculpture.
9
How many similar sculptures can he paint with 12 such tubes of paint?
Divide. Express the quotient in simplest form.
Example
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7
1
4
8
8
1
8
5
7
8
56
8
5
7
5
3
8
1
1
is the same
8
8
as multiplying by .
1
Dividing by
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20.
Date:
6
2
4
7
7
5
2
7
6
7
3
7
2
5
5
21.
3
3
4
8
16
22.
3
5
5
5
1
2
4
3
3
Solve. Show your work.
Example
A rod is
5
1
meter long. William cuts the rod into shorter pieces, each meter long.
9
9
Into how many pieces has William cut the rod?
5
5
5
9
5
9
45
9
5
5
5
Number of one-ninths in 5
9
William cuts the rod into
50
5
4
3
pieces.
1
9
9
1
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Name: 23. A rectangle has an area of
Date: 4
square meter. The width of the rectangle is
5
4
meter. What is its length?
15
4
15
4
5
Number of four-fifteenths in
4
5
5
4
3
5
5
5
The length of the rectangle is
24. Ben has
meters.
5
5
of a pizza left. He cuts it into equal pieces, each
of the whole pizza.
16
48
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Into how many pieces has Ben cut the pizza?
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Find each quotient. Write your answer in simplest form.
Example
3
5
4
8
2
5
5
5
25.
3
8
3
4
3
20
3
3
2
5
1
5
5
is the same
2
2
as multiplying by .
5
Dividing by
Divide a numerator and
a denominator by the
common factor, 2.
5
7
4
16
4
5
3
Rewrite as a multiplication expression.
5
3
Divide a numerator and a denominator by
the common factor.
5
9
6
4
11
5
27.
6
3
4
10
2
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Date:
Find each quotient. Write your answer in simplest form.
Example
3
1
43
4
2
5
5
5
5
28.
3
4
3
4
3
2
3
14
4
3
3
7
2
2
7
1
7
Write 3
1
as an improper fraction.
2
Rewrite as a multiplication
expression.
Divide a numerator and
a denominator by the
common factor, 2.
2
2
41
5
5
2
as an improper fraction.
5
5
4
Write 1
5
3
Rewrite as a multiplication expression.
5
3
Divide a numerator and a denominator by
the common factor.
5
6
4
41
7
7
30.
5
3
43
8
4
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Name:
Date:
Find each quotient. Write your answer in simplest form.
Example
5
1
42
6
2
1
5
5
5
5
31. 3
11
6
11
6
11
6
11
15
4
3
3
5
2
2
5
1
5
Express both mixed numbers as
improper fractions.
Rewrite as a multiplication
expression.
Divide a numerator and
a denominator by the
common factor, 2.
2
1
45
9
3
5
4
Express both mixed numbers as improper
fractions.
5
3
Rewrite as a multiplication expression.
5
3
Divide a numerator and a denominator by
the common factor.
5
5
3
42
8
4
33. 4
1
1
45
2
6
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32. 1
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