11/8 - 6/7 as a fraction

Learn how to find what is 11/8 minus 6/7 in fraction form just in a few minutes. We have covered the easiest method to write 11/8 - 6/7 as a fraction and decimal.

Summary: 11/8 minus 6/7 = 29/56
Since both fractions have unequal denominators, 11/8 minus 6/7 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 11/8 and fraction 6/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 7. 56 is the LCM of 8 and 7. Multiplying the LCM 56 with the numerators and denominators of both fractions (11/8 x 56/56) - (6/7 x 56/56), and simplify further in order to have the common denominator. So the equivalent fraction for 11/8 is 77/56 and for 6/7 is 48/56. By simplifying this fraction subtraction 77/56 - 48/56, it becomes 29/56.

Pie Chart Representation: 11/8 - 6/7 = 29/56

CALCULATION: 11/8 - 6/7 as a fraction
11/8 - 6/7 = (?)
11/8 - 6/7 = [(11 x 7) - (6 x 8)]/(8 x 7)
= (77 - 48)/56
= 29/56
11/8 - 6/7 = 29/56
11/8 minus 6/7 as a fraction is 29/56.

where
11/8 is a improper fraction as a minuend,
6/7 is a proper fraction as a subtrahend,
29/56 is the difference between 11/8 and 6/7.

---

11/8 minus 6/7 as a decimal
11/8 - 6/7 = 29/56
29/56 = 0.5179
(11/8) - (6/7) as a decimal is 0.5179

where
0.5179 is the difference between 11/8 and 6/7.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 6/7 from 11/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 11/8 minus 6/7.
1. LCM method
2. Cross multiplication method.

(11/8) - (6/7) using LCM Method:
What is 11/8 minus 6/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/8
Fraction B: 6/7

What to be found?
(11/8) - (6/7) = ?
Find what's the difference between 11/8 and 6/7.

step 2 Compare the denominators of fractions 11/8 and 6/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 11/8 and 6/7 are not equal, it is said to be unlike fractions subtraction.

step 3For unlike fractions subtraction, find the LCM (least common multiple) of both denominators of fractions 11/8 and 6/7:
The LCM of 8 and 7 is 56.

step 4 Write the fractions 11/8 and 6/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/8 - 6/7
= [(11 x 56)/(8 x 56)] - [(6 x 56)/(7 x 56)]

step 5 Simplify the expression to have common denominator:
= 77/56 - 48/56

step 6 Take the common values out and rewrite the above expression like the below:
= 1/56 x (77/1 - 48/1)
= 1/56 x (77 - 48)

step 7Simplify the above expression further:
= 1/56 x 29
= 29/56
11/8 - 6/7 = 29/56

Hence,
11/8 minus 6/7 as a fraction is 29/56.

---

11/8 - 6/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/8
Fraction B: 6/7

What to be found?
(11/8)-(6/7) = ?
Find what's the difference between 11/8 and 6/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 7), find the product of numerator of Fraction B and denominator of Fraction A (6 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 7) and rewrite the equation as like the below:
= (11 x 7) - (6 x 8)/(8 x 7)

step 3 Simplify and rewrite the fraction:
= (77 - 48)/56
11/8 - 6/7 = 29/56

Hence,
11/8 minus 6/7 in fraction is 29/56