# Benchmark Fractions Estimate Sum for 1/5 and 6/7 using nearest 1/4

For mixed numbers, enter in the form a&b/c
<-- Enter Fraction 1
<-- Enter Fraction 2 (do not enter a fraction if you only want 1 converted or simplified)
Round to nearest 1/2
Round to nearest 1/4
Round to nearest 1/8

Estimate the sum for the following operation rounded to the nearest 1/4

 1 5
 +
 6 7

Estimate the fraction 1/5 using 1/4 as our benchmark:
Display the fraction bar for 1/5
The lower range is 0 and the upper range is 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 halfway point
1/5 ≥ 1/8, we round up to 1/4
Estimate the fraction 6/7 using 1/4 as our benchmark:
Display the fraction bar for 6/7
The lower range is 3/4 and the upper range is 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 halfway point
6/7 < 7/8, we round down to 3/4
Estimating, we have 1/4 + 3/4