Practice
Name
6-5
Modeling Division of Fractions
Solve each division sentence using the models provided.
1. _​ 56 ​4 _​ 16 ​5 5
1
5
6
0
6
1  ​ 5 2. ​ _35 ​4 __
​ 10
1
1
1
10 10 10 10
1 1
10 10
1
3
5
Find each quotient. You can draw a model to help.
3. _​ 67 ​4 _​ 27 ​5 15 ​ 4 __
1  ​ 5 6.​ __
​ 16
16
3
15
1  ​ 5 4.​ _34 ​4 __
​ 16
11 ​ 4 __
1  ​ 5 7.​ __
​ 12
12
12
11
5.​ _78 ​4 _​ 18 ​5 5  ​ 5 8.​ _58 ​4 __
​ 16
7
2
9. Draw a Picture Olivia has a piece of ribbon _​ 12 ​yard long. She will cut
1  ​ yard long. How many pieces will Olivia
it into pieces that are each ​ __
12
have?
Check students’ pictures; 6 pieces
10. Writing to Explain Write an explanation for another student telling
him or her how to divide ​ _23 ​by _​ 16 ​.
Sample answer: Draw a rectangle that is divided
into thirds. Shade two of the thirds. Since each
third is equal to _​ 26 ​, divide each third in half. Then
count the number of sixths in the shaded part of
the rectangle. There are 4 sixths. So _​ 23 ​  _​ 16 ​ = 4.
11. Which division expression is shown by
the model?
9   ​4 __
1  ​ 
​ 10
A ​ __
10
9  ​ 
B 1 4 __
​ 10
9
10
0
9  ​ 
1   ​4 __
C ​ __
​ 10
10
1
1  ​ 4 _
D ​ ___
​ 19 ​
10
12. Algebra Which equation could you use to find the number
of _​ 18 ​-inch pieces that can be cut from a piece of string that is
​ _34 ​of an inch long?
A ​ _14 ​3 _​ 85 ​5 n
1  ​4 _
B ​ __
​ 34 ​5 n
8
C _​ 58 ​3 _​ 14 ​5 n
P 6•5
D ​ _34 ​4 _​ 18 ​5 n
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