Fraction Division (With Models) Page 4
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Date
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Fraction Division
Use the Division of Fractions Property to divide.
Division of Fractions
That is, to find the quotient of two fractions,
Property
multiply the first fraction by the reciprocal
a _
c _
a _
d _
∗
÷
=
c
b
d
b
of the second fraction.
4 _
2 _
Example 1
÷
5
3
Multiply the first fraction by the
4 _
3 _
12
2 __
1 _
__
∗
=
= 1
, or 1
reciprocal of the second fraction.
5
2
10
10
5
Simplify as needed.
1 _
4 ÷ 1
Example 2
3
Rename whole numbers or mixed
4 _
4 _
÷
numbers as improper fractions.
1
3
Multiply the first fraction by the
4 _
3 _
12
__
∗
=
= 3
reciprocal of the second fraction.
1
4
4
Check Your Understanding
Solve the following problems.
1 _
÷ 1 _
2 _
÷ 3 _
1.
2.
4
3. 6
÷
3
2
3
8
1 _
÷ 3 _
1 _
÷ 3 _
÷ 2 _
4.
5.
6. 4
8
4
6
4
3
÷ 3 _
7 _
1 _
7. 9
8. 1
1
÷
5
8
4
Student Practice
Write your answers on a separate sheet of paper.
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