Solved Examples and Worksheet for Estimation-Fractions
Q1
Find the estimated sum of
20
6
25
and
37
8
9
.
A
. 57
B
. 59
C
. 60
D
. 58
Solutions
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Step: 1
20
6
25
≈
20
[Round to the nearest whole number, as the fractional part is less than
1
2
.]
Step: 2
37
8
9
»
38
[Round to the next highest whole number, as the fractional part is greater than
1
2
.]
Step: 3
20
6
25
+
37
8
9
»
20 + 38 = 58
[Add.]
Correct Answer is :
58
Q2
Choose the estimated sum of
5
5
11
and
5
6
.
A
. 7
B
. 5
C
. 8
D
. 6
Solutions
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Step: 1
5
5
11
≈
5
[Round to its whole number, as the fractional part is less than
1
2
.]
Step: 2
5
6
≈
1
[Round to the nearest value.]
Step: 3
5 + 1 = 6
[Add the values.]
Correct Answer is :
6
Q3
Estimate the difference between
31
1
3
and
28
1
3
.
A
. 3
B
. 4
C
. 6
D
. 5
Solutions
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Step: 1
31
1
3
≈
31 and
28
1
3
≈
28
[Round to their whole numbers, as their fractional parts are less than
1
2
.]
Step: 2
31 - 28 = 3
[Find the difference.]
Correct Answer is :
3
Q4
Find the estimated difference between
5
7
and
1
1
4
.
A
. 1
B
. 0
C
.
1
5
D
.
1
4
Solutions
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Step: 1
1
1
4
≈
1
[Round the mixed number to its whole number, as the fractional part is less than
1
2
.]
Step: 2
5
7
≈
1
[Round the fraction to its nearest value.]
Step: 3
1 - 1 = 0
[Find the difference.]
Correct Answer is :
0
Q5
Estimate the difference between
15
16
and
25
1
5
.
A
. 24
B
. 26
C
. 25
D
. 23
Solutions
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Step: 1
25
1
5
≈
25
[Round to its whole number, as the fractional part is less than
1
2
.]
Step: 2
15
16
≈
1
[Round to its nearest value.]
Step: 3
25 - 1 = 24
[Find the difference.]
Correct Answer is :
24
Q6
Estimate the product of
12
3
5
and
1
2
3
.
A
. 15
B
. 26
C
. 2
D
. 13
Solutions
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Step: 1
12
3
5
≈
13
[Round to the next highest whole number, as the fractional part is greater than
1
2
.]
Step: 2
1
2
3
≈
2
[Round to the next highest whole number, as the fractional part is greater than
1
2
.]
Step: 3
12
3
5
×
1
2
3
≈
13 × 2 = 26
[Multiply.]
Correct Answer is :
26
Q7
Estimate the product of
4
1
4
and
2
4
.
A
. 6
B
. 4
C
. 3
D
. 5
Solutions
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Step: 1
4
1
4
≈
4
[Round to its whole number, as the fractional part is less than
1
2
.]
Step: 2
2
4
=
1
2
≈ 1
[Simplify the fraction and round up.]
Step: 3
4 × 1 = 4
[Find the product.]
Correct Answer is :
4
Q8
Estimate:
2
3
÷
4
5
A
. 2
B
.
1
4
C
. 1
D
.
1
2
Solutions
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Step: 1
2
3
≈
1 and
4
5
≈
1
[Round the fractions to the nearest value.]
Step: 2
2
3
÷
4
5
≈ 1 ÷ 1 = 1
[Divide.]
Correct Answer is :
1
Q9
Estimate:
30
1
5
÷
4
7
8
A
. 7
B
. 6
C
. 9
D
. 8
Solutions
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Step: 1
4
7
8
≈
5
[Round the mixed number to the next highest whole number, as the fractional part is greater than
1
2
.]
Step: 2
30
1
5
≈
30
[Round the mixed number to its whole number, as the fractional part is less than
1
2
.]
Step: 3
30
1
5
÷
4
7
8
≈
30 ÷ 5 = 6
[Divide.]
Correct Answer is :
6
Q10
Estimate the quotient when
1
4
5
is divided by
1
2
3
.
A
. 3
B
. 4
C
. 1
D
. 2
Solutions
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Step: 1
1
2
3
≈
2
[Round the mixed number to the next whole number, as the fractional part is greater than
1
2
.]
Step: 2
1
4
5
≈
2
[Since 2 is nearer to
1
4
5
and compatible with 2, round
1
4
5
to 2.]
Step: 3
2 ÷ 2 = 1
[Divide.]
Correct Answer is :
1
Q11
Estimate the sum of
3
1
3
and
1
1
4
.
A
. 3
B
. 5
C
. 4
D
. None of the above
Solutions
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Step: 1
3
1
3
+
1
1
4
[Original expression.]
Step: 2
≈
3 + 1
[If the fractional part is less than half round to its whole number else round it to the whole number greater than that of the mixed number.]
Step: 3
≈
4
[Add.]
Correct Answer is :
4
Q12
Estimate the difference between
4
5
and
3
7
.
A
.
1
4
B
.
1
2
C
.
1
1
2
D
.
1
1
4
Solutions
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Step: 1
4
5
≈
1
[Round the fraction to 1 as the numerator and denominator are nearly equal.]
Step: 2
3
7
≈
1
2
[Round the fraction to
1
2
as the denominator is twice the numerator.]
Step: 3
4
5
-
3
7
≈
1 -
1
2
=
1
2
[Subtract the fractions.]
Correct Answer is :
1
2
Q13
Estimate the sum of
8
14
and
32
63
.
A
.
1
2
B
.
1
1
2
C
. 0
D
. 1
Solutions
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Step: 1
8
14
≈
1
2
and
32
63
≈
1
2
[Round the fractions to
1
2
as the denominators are nearly twice the numerators.]
Step: 2
8
14
+
32
63
≈
1
2
+
1
2
= 1
[Add the fractions.]
Correct Answer is :
1
Q14
Find the estimated sum of
31
7
8
and
14
2
9
.
A
. 28
B
. 46
C
. 18
D
. 64
Solutions
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Step: 1
31
7
8
»
32
[Round to the next highest whole number, as the fractional part is greater than
1
2
.]
Step: 2
14
2
9
»
14
[Round to the nearest whole number, as the fractional part is less than
1
2
.]
Step: 3
31
7
8
+
14
2
9
»
32 + 14 = 46
[Add.]
Correct Answer is :
46
Q15
Estimate the product of
9
2
and 8.
A
. 4
B
. 8
C
. 32
D
. 16
Solutions
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Step: 1
9
2
≈
4
Step: 2
The product of
9
2
and 8
≈
4 × 8
≈
32.
Correct Answer is :
32
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