8/7 - 7/6 as a fraction

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

Summary: 8/7 minus 7/6 = -1/42
Since both fractions have unequal denominators, 8/7 minus 7/6 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 8/7 and fraction 7/6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 6. 42 is the LCM of 7 and 6. Multiplying the LCM 42 with the numerators and denominators of both fractions (8/7 x 42/42) - (7/6 x 42/42), and simplify further in order to have the common denominator. So the equivalent fraction for 8/7 is 48/42 and for 7/6 is 49/42. By simplifying this fraction subtraction 48/42 - 49/42, it becomes -1/42.

CALCULATION: 8/7 - 7/6 as a fraction
8/7 - 7/6 = (?)
8/7 - 7/6 = [(8 x 6) - (7 x 7)]/(7 x 6)
= (48 - 49)/42
= -1/42
8/7 - 7/6 = -1/42
8/7 minus 7/6 as a fraction is -1/42.

where
8/7 is a improper fraction as a minuend,
7/6 is a improper fraction as a subtrahend,
-1/42 is the difference between 8/7 and 7/6.

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8/7 minus 7/6 as a decimal
8/7 - 7/6 = -1/42
-1/42 = -0.0238
(8/7) - (7/6) as a decimal is -0.0238

where
-0.0238 is the difference between 8/7 and 7/6.

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

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

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

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

step 2 Compare the denominators of fractions 8/7 and 7/6 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 8/7 and 7/6 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 8/7 and 7/6:
The LCM of 7 and 6 is 42.

step 4 Write the fractions 8/7 and 7/6 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8/7 - 7/6
= [(8 x 42)/(7 x 42)] - [(7 x 42)/(6 x 42)]

step 5 Simplify the expression to have common denominator:
= 48/42 - 49/42

step 6 Take the common values out and rewrite the above expression like the below:
= 1/42 x (48/1 - 49/1)
= 1/42 x (48 - 49)

step 7Simplify the above expression further:
= 1/42 x -1
= -1/42
8/7 - 7/6 = -1/42

Hence,
8/7 minus 7/6 as a fraction is -1/42.

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

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

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

step 3 Simplify and rewrite the fraction:
= (48 - 49)/42
8/7 - 7/6 = -1/42

Hence,
8/7 minus 7/6 in fraction is -1/42