Reteaching
Name
11-1
Multiplying Fractions
and Whole Numbers
You can find the product of a fraction and a whole number.
Tran needs _​ 32 ​yard of fabric to sew a pair of shorts. How many
yards of fabric will Tran need to sew 6 pairs of shorts?
Step 1. Multiply the numerator by the whole
number.
Step 2. Place the product over the denominator.
Simplify if possible.
2 3 6 5 12
___
​ 12  ​5 4 yards of fabric
3
Remember: In word problems, “of” means “multiply.”
​ 3 ​of 15 5 __
Example: __
​ 3 ​3 15
5
5
In questions 1–4, find each product. Simplify if possible.
1 ​3 60 5
1.​ __
3
3 ​of 32 5
2. ​ __
4
7 ​3 40 5
3.​ __
8
2 ​of 35 5
4. ​ __
7
For questions 5–7, use the table to the right.
5. What is _​ 17 ​ the speed of a cheetah?
Animal
Cat
6. What is _​ 15 ​ the speed of a cat?
7. What is _​ 15 ​ the speed of a jackal?
R 11•1
Speed
(in mi/h)
30
Cheetah
70
Jackal
35
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Practice
Name
11-1
Multiplying Fractions
and Whole Numbers
Find each product.
1 ​of 96 5
1.​ __
4 ​of 28 5 2. ​ __
3 ​3 72 5
3. ​ __
4. 45 3 __
​ 3 ​5 7 ​5 5. 56 3 ​ __
3 ​5
6. 42 3 ​ __
1 ​of 118 5 7.​ __
3 ​of 56 5 8. ​ __
1  ​ 3 400 5
9. ​ ___
10. 84 3 __
​ 1 ​5 5  ​ 5 11. 64 3 ​ ___
11  ​5
12. 40 3 ​ ___
5 ​of 48 5 13.​ __
1 ​of 77 5 14. ​ __
4 ​3 90 5
15. ​ __
16. 42 3 ___
​ 3  ​ 5 5 ​5 17. 72 3 ​ __
2 ​=
18. 18 3 ​ __
5 ​3 84 5
19.​ __
11  ​3 144 5
20. ​ ___
6 ​3 42 5
21. ​ __
4
9
2
6
8
14
6
7
8
8
16
7
8
12
4
7
10
20
5
3
7
22. Complete the table by writing the product of each expression
in the box below it. Use a pattern to find each product.
Explain the pattern.
1
  ​ 3 32
  ​ _12 ​ 3 32​  1_4  ​3 32​  1_8  ​3 32​ __
16
23. Reasoning If _​ 12 ​ of 1 is​  1_2 ​,  what is​  1_2 ​ of 2, 3, and 4?
24. Which is​  2_3 ​ of 225?
A 75
B 113
C 150
D 450
25. Explain It Explain why​  1_2 ​ of 2 equals one whole.
P 11•1
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