Practice
Name
6-7
Estimating Mixed-Number
Quotients
Estimate
each product. Sample answers are shown.
1. 37​_ 13 ​4 5​_ 78 ​5 6
2. 25​_ 12 ​4 6​_ 14 ​5 4
3. 49​ _45 ​4 6​_ 12 ​5 7
9  ​ 5
4. 12​_ 34 ​4 5​_ 59 ​5 2
5. 43​_ 23 ​4 5​_ 25 ​5 9
6. 8​ _13 ​4 2​__
 10
3
7. 67​_ 15 ​4 7​_ 27 ​5 10
8. 55​_ 59 ​4 7​_ 16 ​5 8
9. 19​ _67 ​4 4​_ 18 ​5 5
7  ​ 4 3​_
10. 71​_ 45 ​4 7​_ 89 ​5 9
11. 15​__
 10
 49 ​5 4
12. 79​ _47 ​4 8​_ 58 ​5 10
13. 26​_ 14 ​4 2​_ 38 ​5 13
14. 40​_ 89 ​4 7​_ 35 ​5 6
15. 58​ _13 ​4 19​_ 56 ​5 3
16. Number Sense Tran wants to cut strips of paper that are 2​_ 14 ​in. wide.
His sheet of paper is 11​ _12 ​in. wide. He estimates that 11​_ 12 ​4 2​_ 14 ​5 6,
so he can cut 6 strips from each sheet of paper. Is his estimate an
overestimate or an underestimate? Explain.
Sample answer: 6 is an overestimate because Tran
rounded the width of the paper up and the width of the
strips down.
17. Writing to Explain Eliza uses 2​ _78 ​feet of yarn in each gift basket
she makes. Explain how to estimate how many baskets Eliza can
make if she has 22 feet of yarn.
Sample answer: Divide 22 by 2​ _78 ​. Use compatible numbers
to estimate: 21 4 3 5 7, so she has enough yarn to make
at least 7 gift baskets.
18. Geometry The area of this rectangle is 257​ _14 ​sq in. What is the
best estimate of side length w? Remember, A 5  3 w.
A 66,000 in.
257 14 sq in.
B 50 in.
C 25 in.
1
10 2 in.
w
D 5 in.
19. Critical Thinking What estimation method did you use to find the length of side w in
Problem 18?
Sample answer: I used compatible numbers: 250 4 10 5 25.
P 6•7
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