Solved Examples and Worksheet for Multiplying Fractions by Whole Numbers
Q1
Find
1
7
of 13.
A
. 91
B
.
1
91
C
.
7
13
D
.
13
7
Solutions
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Step: 1
1
7
of 13 =
1
7
× 13
[Original expression.]
Step: 2
=
1
7
×
13
1
[Write 13 as
13
1
.]
Step: 3
=
1×13
7×1
[Multiply the numerators and the denominators.]
Step: 4
=
13
7
[Simplify.]
Correct Answer is :
13
7
Q2
Find the product of
2
3
and 5.
A
.
11
4
B
.
10
3
C
.
9
2
D
. None of the above
Solutions
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Step: 1
2
3
× 5
[Original expression.]
Step: 2
=
2
3
×
5
1
[Write 5 as
5
1
.]
Step: 3
=
(2×5)
(3×1)
[Multiply the numerators and the denominators.]
Step: 4
=
10
3
[Simplify.]
Step: 5
The product is
10
3
.
Correct Answer is :
10
3
Q3
Simplify the expression
2
3
× 123
.
A
. 83
B
. 85
C
. 82
D
. 84
Solutions
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Step: 1
2
3
× 123
[Original expression.]
Step: 2
=
2
3
×
123
1
[Write 123 as
123
1
.]
Step: 3
=
2
×
1
2
3
3
×
1
[Multiply the numerators and denominators.]
Step: 4
=
246
3
[Find the two products.]
Step: 5
= 82
[Divide 246 by 3.]
Correct Answer is :
82
Q4
Multiply the fraction
1
4
with 20.
A
. 5
B
. 4
C
. 6
D
. 7
Solutions
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Step: 1
1
4
× 20
Step: 2
=
1
4
×
20
1
[Write 20 as
20
1
.]
Step: 3
=
(1×20)
(4×1)
Step: 4
= 5
[Simplify.]
Correct Answer is :
5
Q5
Find the value of
3
5
of 20.
A
. 18
B
. 12
C
. 22
D
. 15
Solutions
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Step: 1
3
5
of 20
[Original expression.]
Step: 2
3
5
× 20
Step: 3
=
3
5
×
20
1
[Write 20 as
20
1
.]
Step: 4
=
(3×20)
(5×1)
Step: 5
= 12
[Simplify.]
Correct Answer is :
12
Q6
Find
1
9
of 6.
A
.
1
2
B
.
2
3
C
.
3
2
D
.
3
4
Solutions
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Step: 1
1
9
of 6
[Original expression.]
Step: 2
1
9
× 6
Step: 3
=
1
9
×
6
1
[Write 6 as
6
1
.]
Step: 4
=
(1×6)
(9×1)
Step: 5
=
2
3
[Simplify.]
Correct Answer is :
2
3
Q7
Find the value of
2
7
of 14.
A
. 6
B
. 2
C
. 4
D
. 8
Solutions
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Step: 1
2
7
of 14
[Original expression.]
Step: 2
2
7
× 14
Step: 3
=
2
7
×
14
1
[Write 14 as
14
1
.]
Step: 4
=
(2×14)
(7×1)
Step: 5
= 4
[Simplify.]
Correct Answer is :
4
Q8
Find
3
5
of 30 using counters.
A
. 18
B
. 10
C
. 15
D
. 20
Solutions
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Step: 1
Take 30 counters and divide them into 5 equal groups as shown below.
Step: 2
So,
3
5
of 30 is 18.
Correct Answer is :
18
Q9
What is
4
5
of 25?
A
. 21
B
. 22
C
. 20
D
. 19
Solutions
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Step: 1
4
5
of 25
[Original expression.]
Step: 2
=
4
5
× 25
Step: 3
=
4
5
×
25
1
[Write 25 as
25
1
.]
Step: 4
=
4×25
5×1
Step: 5
= 20
[Simplify.]
Correct Answer is :
20
Q10
Fill in the blank.
(
1
18
) × 39 = ___
A
.
1
13
B
.
13
6
C
.
1
6
D
.
13
7
Solutions
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Step: 1
(
1
18
) × 39
[Original expression.]
Step: 2
=
1
18
×
39
1
[Write 39 as
39
1
.]
Step: 3
=
(1×39)
(18×1)
Step: 4
=
13
6
[Simplify.]
Correct Answer is :
13
6
Q11
Simplify:
2
7
× 56
A
. 16
B
. 12
C
. 18
D
. 8
Solutions
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Step: 1
2
7
× 56
[Given.]
Step: 2
=
2
7
×
5
6
1
[Write 56 as
5
6
1
.]
Step: 3
=
2
×
5
6
7
×
1
[Multiply numerators and denominators.]
Step: 4
=
1
1
2
7
[Multiply.]
Step: 5
= 16
[Divide 112 by 7.]
Correct Answer is :
16
Q12
1
5
× 20 = ____
A
. 1
B
. 9
C
. 3
D
. 4
Solutions
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Step: 1
1
5
× 20
Step: 2
=
1
×
2
0
5
×
1
[Multiply the numerators and denominators.]
Step: 3
=
20
5
= 4
[Simplify.]
Step: 4
Therefore,
1
5
× 20 = 4.
Correct Answer is :
4
Q13
Find:
4 ×
1
5
A
.
4
5
B
.
5
4
C
. 20
Solutions
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Step: 1
4 ×
1
5
[Original expression.]
Step: 2
=
4
1
×
1
5
[Write 4 as
4
1
.]
Step: 3
=
4×1
1×5
[Multiply the numerators and the denominators.]
Step: 4
=
4
5
[Simplify.]
Correct Answer is :
4
5
Q14
Fill in the blank.
(
1
18
) × 38 = ___
A
.
19
10
B
.
1
9
C
.
19
9
Solutions
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Step: 1
(
1
18
) × 38
[Original expression.]
Step: 2
=
1
18
×
38
1
[Write 38 as
38
1
.]
Step: 3
=
(1×38)
(18×1)
Step: 4
=
19
9
[Simplify.]
Correct Answer is :
19
9
Q15
Calculate:
5
11
of 33
.
A
. 16
B
. 17
C
. 14
D
. 15
Solutions
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Step: 1
5
11
of 33
Step: 2
=
5
11
× 33
["of" means "to multiply".]
Step: 3
=
5
×
3
3
1
1
[Multiply the numerators.]
Step: 4
=
1
6
5
1
1
Step: 5
= 15
[Divide.]
Step: 6
So,
5
11
of 33 = 15
Correct Answer is :
15
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Related Topic
Fraction
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