#### Solved Examples and Worksheet for Multiplying Fractions with Fractions

Q1Find 56 of 67 .
A. 142
B. 3143
C. 3536
D. 57

Step: 1
56 of 67 = 56 × 67
[Original expression.]
Step: 2
= 5 × 66 × 7 = 3042
[Multiply numerators and denominators separately.]
Step: 3
= 57
[Simplify using the GCF 6.]
Step: 4
56 of 67 is 57 .
Q2Find the product of 45 and 1011.

A. 811
B. 15
C. 211
D. None of the above

Step: 1
45 × 1011
[Original expression.]
Step: 2
= 4×105×11 = 4055
[Multiply numerators and denominators separately.]
Step: 3
= 811
[Simplify 4055 by dividing numerator and denominator by their GCF 5.]
Step: 4
The product of 45 and 1011 is 811.
Q3Find the product of 98 and 107.
A. 11119
B. 11728
C. 158
D. 13457

Step: 1
= 98 × 107
[Original expression.]
Step: 2
= 9 × 108 × 7
[Multiply the numerators and denominators.]
Step: 3
= 9056
[Simplify.]
Step: 4
= 4528
[Divide numerator and denominator by their GCF 2.]
Step: 5
= 11728
[Write as a mixed fraction.]
Q4Find the product of the fractions 54 and 45 .

A. 1625
B. 1
C. 920
D. 0

Step: 1
54 × 45
[Original expression.]
Step: 2
The product of a fraction and its reciprocal is 1.
Step: 3
So,54× 45 = 1.
Q5Find the product of the fractions 112 and 27.

A. 711
B. 411
C. 47
D. 117

Step: 1
112 × 27
[Original expression.]
Step: 2
= 11×22×7
[Multiply the numerators and the denominators.]
Step: 3
= 2214
[Find the products.]
Step: 4
= 117
[Divide out the common factor 2.]
Q6Which of the following is the product of the fractions 18 and 27?

A. 128
B. 2728
C. 67

Step: 1
18 × 27
[Original expression.]
Step: 2
= (1×2)(8×7)
[Multiply the numerators and the denominators.]
Step: 3
= 256
[Find the products.]
Step: 4
= 128
[Divide out the common factor 2.]
Q7Find the product of the fractions 15 and 43 .
A. 154
B. 114
C. 415

Step: 1
15 × 43
[Original expression.]
Step: 2
= (1×4)(5×3)
[Multiply the numerators and the denominators.]
Step: 3
= 415
[Find the products.]
Q8Find the product of the fractions 56 and 1117.
A. 55102
B. 556
C. 56
D. 1117

Step: 1
56 × 1117
[Original expression.]
Step: 2
= 5 × 116 × 17
[Multiply the numerators and the denominators.]
Step: 3
= 55102
[Find the products.]
Q9Multiply the fractions 25 and 15.

A. 125
B. 225
C. 425
D. 325

Step: 1
25 × 15
[Original expression.]
Step: 2
= (2 × 1)(5 × 5)
[Multiply the numerators and the denominators.]
Step: 3
= 225
[Find the products.]
Q10What is the product of 211 and 56?
A. 1066
B. 110
C. 166
D. 6610

Step: 1
211 × 56
Step: 2
= 2×511×6
Step: 3
= 1066