Practice
Name
6-6
Dividing Fractions
Find each quotient. Simplify if possible.
_​ 2 ​
5
​ _1 ​
4.​ _59 ​4 5 5 9
​ 3  ​ 5 1​ _23 ​
7.​ _12 ​4 __
10
​ _4 ​
10.​ _1 ​4 _​ 3 ​5 9
1. _​ 13 ​4 _​ 56 ​5
3
4
​ _34 ​
1​ _17 ​
5.​ _67 ​4 _​ 34 ​5 _5 5  ​ 4 _
2 ​5 ​ 8 ​
8.​ __
 
​
12
3
__
​ 3  ​
11.​ _3 ​4 4 5 32
2. _​ 38 ​4 _​ 12 ​5 8
7  ​ 5
3. ​ _78 ​4 __
​ 12
6.​ _23 ​4 _​ 34 ​5
14 ​4
9.​ __
  _
​ 25 ​5 15
9  ​ 4 _
12.​ __
​ 35 ​5 10
1​ _12 ​
​ _89 ​
2​ _13 ​
1​ _12 ​
13. Writing to Explain Serena said that by looking for common factors
9  ​.  Do you
4  ​ 4 _
​ 58 ​5 1​__
 16
and simplifying the expression, she found that __
​ 10
agree with Serena? Why or why not?
5
__
​ 10
  ​ 3 _
​ 58 ​ 5 __
​ 25
  ​ 5
16
4
4
9  ​ 
1​ __
16
No, Serena needs to use the reciprocal of the divisor,
not the dividend, when she rewrites the expression as
5 ​ 5 ​ __
8 ​, which
4  ​ 4 ​ _
4  ​ 3 ​ _
a multiplication expression: ​ __
5
1016 8
10
can be simplified as ​ _45 ​ 3 ​ _45 ​ 5 ​ __
 
.
​
25
1  ​ yard wide.
14. A _​ 56 ​-yard piece of fencing is made of boards that are __
​ 12
How many boards make up the fence?
10 boards
3  ​​ 10
  lb servings does he
15. Nathan has ​ _78 ​lb of hummus. How many __
have?
11 ​ servings
2​ __
12
16. Algebra Which equation can you use to find the number of _​ 14 ​−inch
pieces that can be cut from a piece of metal _​ 58 ​of an inch long?
A ​ _58 ​4 _​ 14 ​5 n
B ​ _14 ​4 _​ 58 ​5 n
C ​ _58 ​3 _​ 14 ​5 n
D ​ _14 ​3 _​ 85 ​5 n
P 6•6
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