#### Solved Examples and Worksheet for Multiplying Fractions by Whole Numbers

Q1Find 17 of 13.
A. 91
B. 191
C. 713
D. 137

Step: 1
17 of 13 = 17 × 13
[Original expression.]
Step: 2
= 17 × 131
[Write 13 as 131.]
Step: 3
= 1×137×1
[Multiply the numerators and the denominators.]
Step: 4
= 137
[Simplify.]
Q2Find the product of 23 and 5.

A. 114
B. 103
C. 92
D. None of the above

Step: 1
23 × 5
[Original expression.]
Step: 2
= 23 × 51
[Write 5 as 51.]
Step: 3
= (2×5)(3×1)
[Multiply the numerators and the denominators.]
Step: 4
= 103
[Simplify.]
Step: 5
The product is 103 .
Q3Simplify the expression 23 × 123.

A. 83
B. 85
C. 82
D. 84

Step: 1
23 × 123
[Original expression.]
Step: 2
= 23 × 1231
[Write 123 as 1231.]
Step: 3
= 2 × 1233 × 1
[Multiply the numerators and denominators.]
Step: 4
= 2463
[Find the two products.]
Step: 5
= 82
[Divide 246 by 3.]
Q4Multiply the fraction 14 with 20.
A. 5
B. 4
C. 6
D. 7

Step: 1
14 × 20

Step: 2
= 14 × 201
[Write 20 as 201.]
Step: 3
= (1×20)(4×1)

Step: 4
= 5
[Simplify.]
Q5Find the value of 35 of 20.

A. 18
B. 12
C. 22
D. 15

Step: 1
35 of 20
[Original expression.]
Step: 2
35 × 20

Step: 3
= 35 × 201
[Write 20 as 201.]
Step: 4
= (3×20)(5×1)

Step: 5
= 12
[Simplify.]
Q6Find 19 of 6.
A. 12
B. 23
C. 32
D. 34

Step: 1
19 of 6
[Original expression.]
Step: 2
19 × 6

Step: 3
= 19 × 61
[Write 6 as 61.]
Step: 4
= (1×6)(9×1)

Step: 5
= 23
[Simplify.]
Q7Find the value of 27 of 14.
A. 6
B. 2
C. 4
D. 8

Step: 1
27 of 14
[Original expression.]
Step: 2
27 × 14

Step: 3
= 27 × 141
[Write 14 as 141.]
Step: 4
= (2×14)(7×1)

Step: 5
= 4
[Simplify.]
Q8Find 35 of 30 using counters.
A. 18
B. 10
C. 15
D. 20

Step: 1
Take 30 counters and divide them into 5 equal groups as shown below.
Step: 2
So, 35 of 30 is 18.
Q9What is 45 of 25?
A. 21
B. 22
C. 20
D. 19

Step: 1
45 of 25
[Original expression.]
Step: 2
= 45 × 25
Step: 3
= 45 × 251
[Write 25 as 251.]
Step: 4
= 4×255×1
Step: 5
= 20
[Simplify.]
Q10Fill in the blank. (118) × 39 = ___

A. 113
B. 136
C. 16
D. 137

Step: 1
(118) × 39
[Original expression.]
Step: 2
= 118 × 391
[Write 39 as 391.]
Step: 3
= (1×39)(18×1)
Step: 4
= 136
[Simplify.]
Q11Simplify: 27 × 56

A. 16
B. 12
C. 18
D. 8

Step: 1
27 × 56
[Given.]
Step: 2
= 27 × 561
[Write 56 as 561.]
Step: 3
= 2 × 567 × 1
[Multiply numerators and denominators.]
Step: 4
= 1127
[Multiply.]
Step: 5
= 16
[Divide 112 by 7.]
Q1215 × 20 = ____

A. 1
B. 9
C. 3
D. 4

Step: 1
15 × 20
Step: 2
= 1 × 205×1
[Multiply the numerators and denominators.]
Step: 3
= 205 = 4
[Simplify.]
Step: 4
Therefore, 15 × 20 = 4.
Q13Find:
4 × 15

A. 45
B. 54
C. 20

Step: 1
4 × 15
[Original expression.]
Step: 2
= 41 × 15
[Write 4 as 41.]
Step: 3
= 4×11×5
[Multiply the numerators and the denominators.]
Step: 4
= 45
[Simplify.]
Q14Fill in the blank. (118) × 38 = ___

A. 1910
B. 19
C. 199

Step: 1
(118) × 38
[Original expression.]
Step: 2
= 118 × 381
[Write 38 as 381.]
Step: 3
= (1×38)(18×1)
Step: 4
= 199
[Simplify.]
Q15Calculate:
511 of 33.

A. 16
B. 17
C. 14
D. 15

Step: 1
511 of 33
Step: 2
= 511 × 33
["of" means "to multiply".]
Step: 3
= 5 × 3311
[Multiply the numerators.]
Step: 4
= 16511
Step: 5
= 15
[Divide.]
Step: 6
So, 511 of 33 = 15