Solved Examples and Worksheet for Multiplying Fractions with Fractions
Q1
Find
5
6
of
6
7
.
A
.
1
42
B
.
31
43
C
.
35
36
D
.
5
7
Solutions
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Step: 1
5
6
of
6
7
=
5
6
×
6
7
[Original expression.]
Step: 2
=
5
×
6
6
×
7
=
30
42
[Multiply numerators and denominators separately.]
Step: 3
=
5
7
[Simplify using the GCF 6.]
Step: 4
5
6
of
6
7
is
5
7
.
Correct Answer is :
5
7
Q2
Find the product of
4
5
and
10
11
.
A
.
8
11
B
.
1
5
C
.
2
11
D
. None of the above
Solutions
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Step: 1
4
5
×
10
11
[Original expression.]
Step: 2
=
4×10
5×11
=
40
55
[Multiply numerators and denominators separately.]
Step: 3
=
8
11
[Simplify
40
55
by dividing numerator and denominator by their GCF 5.]
Step: 4
The product of
4
5
and
10
11
is
8
11
.
Correct Answer is :
8
11
Q3
Find the product of
9
8
and
10
7
.
A
.
1
11
19
B
.
1
17
28
C
.
1
5
8
D
.
1
34
57
Solutions
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Step: 1
=
9
8
×
10
7
[Original expression.]
Step: 2
=
9
×
1
0
8
×
7
[Multiply the numerators and denominators.]
Step: 3
=
90
56
[Simplify.]
Step: 4
=
45
28
[Divide numerator and denominator by their GCF 2.]
Step: 5
=
1
17
28
[Write as a mixed fraction.]
Correct Answer is :
1
17
28
Q4
Find the product of the fractions
5
4
and
4
5
.
A
.
16
25
B
. 1
C
.
9
20
D
. 0
Solutions
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Step: 1
5
4
×
4
5
[Original expression.]
Step: 2
The product of a fraction and its reciprocal is 1.
Step: 3
So,
5
4
×
4
5
= 1.
Correct Answer is :
1
Q5
Find the product of the fractions
11
2
and
2
7
.
A
.
7
11
B
.
4
11
C
.
4
7
D
.
11
7
Solutions
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Step: 1
11
2
×
2
7
[Original expression.]
Step: 2
=
11×2
2×7
[Multiply the numerators and the denominators.]
Step: 3
=
22
14
[Find the products.]
Step: 4
=
11
7
[Divide out the common factor 2.]
Correct Answer is :
11
7
Q6
Which of the following is the product of the fractions
1
8
and
2
7
?
A
.
1
28
B
.
27
28
C
.
6
7
Solutions
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Step: 1
1
8
×
2
7
[Original expression.]
Step: 2
=
(1×2)
(8×7)
[Multiply the numerators and the denominators.]
Step: 3
=
2
56
[Find the products.]
Step: 4
=
1
28
[Divide out the common factor 2.]
Correct Answer is :
1
28
Q7
Find the product of the fractions
1
5
and
4
3
.
A
.
15
4
B
.
11
4
C
.
4
15
Solutions
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Step: 1
1
5
×
4
3
[Original expression.]
Step: 2
=
(1×4)
(5×3)
[Multiply the numerators and the denominators.]
Step: 3
=
4
15
[Find the products.]
Correct Answer is :
4
15
Q8
Find the product of the fractions
5
6
and
11
17
.
A
.
55
102
B
.
55
6
C
.
5
6
D
.
11
17
Solutions
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Step: 1
5
6
×
11
17
[Original expression.]
Step: 2
=
5
×
1
1
6
×
1
7
[Multiply the numerators and the denominators.]
Step: 3
=
55
102
[Find the products.]
Correct Answer is :
55
102
Q9
Multiply the fractions
2
5
and
1
5
.
A
.
1
25
B
.
2
25
C
.
4
25
D
.
3
25
Solutions
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Step: 1
2
5
×
1
5
[Original expression.]
Step: 2
=
(
2
×
1
)
(
5
×
5
)
[Multiply the numerators and the denominators.]
Step: 3
=
2
25
[Find the products.]
Correct Answer is :
2
25
Q10
What is the product of
2
11
and
5
6
?
A
.
10
66
B
.
1
10
C
.
1
66
D
.
66
10
Solutions
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Step: 1
2
11
×
5
6
Step: 2
=
2×5
11×6
Step: 3
=
10
66
Correct Answer is :
10
66
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Related Topic
Fraction
HighSchool Math
Grade 3
Grade 4
Grade 5