#### Solved Examples and Worksheet for Estimation-Fractions

Q1Find the estimated sum of 20625 and 3789.

A. 57
B. 59
C. 60
D. 58

Step: 1
20625 20
[Round to the nearest whole number, as the fractional part is less than 12 .]
Step: 2
3789 » 38
[Round to the next highest whole number, as the fractional part is greater than 12.]
Step: 3
20625 + 3789 » 20 + 38 = 58
Q2Choose the estimated sum of 5511 and 56.
A. 7
B. 5
C. 8
D. 6

Step: 1
5511 5
[Round to its whole number, as the fractional part is less than 12.]
Step: 2
56 1
[Round to the nearest value.]
Step: 3
5 + 1 = 6
Q3Estimate the difference between 3113 and 2813 .

A. 3
B. 4
C. 6
D. 5

Step: 1
3113 31 and 2813 28
[Round to their whole numbers, as their fractional parts are less than 12.]
Step: 2
31 - 28 = 3
[Find the difference.]
Q4Find the estimated difference between 57 and 114.
A. 1
B. 0
C. 15
D. 14

Step: 1
114 1
[Round the mixed number to its whole number, as the fractional part is less than 12.]
Step: 2
57 1
[Round the fraction to its nearest value.]
Step: 3
1 - 1 = 0
[Find the difference.]
Q5Estimate the difference between 1516 and 2515.

A. 24
B. 26
C. 25
D. 23

Step: 1
2515 25
[Round to its whole number, as the fractional part is less than 12.]
Step: 2
1516 1
[Round to its nearest value.]
Step: 3
25 - 1 = 24
[Find the difference.]
Q6Estimate the product of 1235 and 123 .

A. 15
B. 26
C. 2
D. 13

Step: 1
1235 13
[Round to the next highest whole number, as the fractional part is greater than 12.]
Step: 2
123 2
[Round to the next highest whole number, as the fractional part is greater than 12.]
Step: 3
1235 × 123 13 × 2 = 26
[Multiply.]
Q7Estimate the product of 414 and 24 .

A. 6
B. 4
C. 3
D. 5

Step: 1
414 4
[Round to its whole number, as the fractional part is less than 12.]
Step: 2
24 = 12 ≈ 1
[Simplify the fraction and round up.]
Step: 3
4 × 1 = 4
[Find the product.]
Q8Estimate:
23 ÷ 45

A. 2
B. 14
C. 1
D. 12

Step: 1
23 1 and 45 1
[Round the fractions to the nearest value.]
Step: 2
23 ÷ 45 ≈ 1 ÷ 1 = 1
[Divide.]
Q9Estimate: 3015 ÷ 478

A. 7
B. 6
C. 9
D. 8

Step: 1
478 5
[Round the mixed number to the next highest whole number, as the fractional part is greater than 12.]
Step: 2
3015 30
[Round the mixed number to its whole number, as the fractional part is less than 12.]
Step: 3
3015 ÷ 478 30 ÷ 5 = 6
[Divide.]
Q10Estimate the quotient when 145 is divided by 123.
A. 3
B. 4
C. 1
D. 2

Step: 1
123 2
[Round the mixed number to the next whole number, as the fractional part is greater than 12 .]
Step: 2
145 2
[Since 2 is nearer to 145 and compatible with 2, round 145 to 2.]
Step: 3
2 ÷ 2 = 1
[Divide.]
Q11Estimate the sum of 313 and 114.
A. 3
B. 5
C. 4
D. None of the above

Step: 1
313 + 114
[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
Q12Estimate the difference between 45 and 37.

A. 14
B. 12
C. 112
D. 114

Step: 1
45 1
[Round the fraction to 1 as the numerator and denominator are nearly equal.]
Step: 2
37 12
[Round the fraction to 12 as the denominator is twice the numerator.]
Step: 3
45 - 37 1 - 12 = 12
[Subtract the fractions.]
Q13Estimate the sum of 814 and 3263 .

A. 12
B. 112
C. 0
D. 1

Step: 1
814 12 and 3263 12
[Round the fractions to 12 as the denominators are nearly twice the numerators.]
Step: 2
814 + 3263 12 + 12 = 1
Q14Find the estimated sum of 3178 and 1429.

A. 28
B. 46
C. 18
D. 64

Step: 1
3178 » 32
[Round to the next highest whole number, as the fractional part is greater than 12.]
Step: 2
1429 » 14
[Round to the nearest whole number, as the fractional part is less than 12.]
Step: 3
3178 + 1429 » 32 + 14 = 46
Q15Estimate the product of 92 and 8.

A. 4
B. 8
C. 32
D. 16

Step: 1
92 4
Step: 2
The product of 92 and 8 4 × 8 32.