Enter 2 fractions below:

<-- Enter Fraction 1
<-- Enter Fraction 2
Round to nearest 1/2
Round to nearest 1/4
Round to nearest 1/8
      

Estimate the sum to the nearest 1/4

1
5
+
  
6
7

Estimate 1/5 with 1/4 as a benchmark:

Display the fraction bar for 1/5

The range is [0, 1/4]
The halfway point is denoted below:
1
2
*
  
(0 + 1)
4

1
2
*
  
1
4

1
8

Therefore, our range is 0 < 1/8 < 1/4

Compare our fraction to the mid point

1/5 ≥ 1/8, we round up to 1/4

Estimate 6/7 with 1/4 as a benchmark:

Display the fraction bar for 6/7

The range is [3/4, 1]
The halfway point is denoted below:
1
2
*
  
(3 + 4)
4

1
2
*
  
7
4

7
8

Therefore, our range is 3/4 < 7/8 < 1

Compare our fraction to the mid point

6/7 < 7/8, we round down to 3/4

Estimating, we have 1/4 + 3/4

Our estimated answer is 1

Display the fraction bar for 1/1

1


You have 2 free calculationss remaining



1


What is the Answer?
1
How does the Benchmark Fractions Calculator work?
Free Benchmark Fractions Calculator - Adds or Subtracts or Compares 2 fractions using estimating sums or estimating differences with benchmark fractions.
This calculator has 2 inputs.

What 2 formulas are used for the Benchmark Fractions Calculator?

Find a Range
Compare to the halfway point

For more math formulas, check out our Formula Dossier

What 8 concepts are covered in the Benchmark Fractions Calculator?

benchmark
benchmark fractions
common fraction that gives you a reference to measure other fractionswith
compare
estimate, measure, or note the similarity or difference between
denominator
The bottom portion of a fraction. For a/b, b is the denominator
difference
the result of one of the important mathematical operations, which is obtained by subtracting two numbers
fraction
how many parts of a certain size exist
a/b where a is the numerator and b is the denominator
numerator
the number above the line in a common fraction
sum
the total amount resulting from the addition of two or more numbers, amounts, or items
Example calculations for the Benchmark Fractions Calculator

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