5/7 - 2/6 as a fraction

Learn how to find what is 5/7 minus 2/6 in fraction form just in a few minutes. We have covered the easiest method to write 5/7 - 2/6 as a fraction and decimal.

Summary: 5/7 minus 2/6 = 8/21
Since both fractions have unequal denominators, 5/7 minus 2/6 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/7 and fraction 2/6 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 (5/7 x 42/42) - (2/6 x 42/42), and simplify further in order to have the common denominator. So the equivalent fraction for 5/7 is 30/42 and for 2/6 is 14/42. By simplifying this fraction subtraction 30/42 - 14/42, it becomes 16/42.

Pie Chart Representation: 5/7 - 2/6 = 8/21

CALCULATION: 5/7 - 2/6 as a fraction
5/7 - 2/6 = (?)
5/7 - 2/6 = [(5 x 6) - (2 x 7)]/(7 x 6)
= (30 - 14)/42
= 16/42
= (2 x 8)/(2 x 21)
= 8/21
5/7 - 2/6 = 8/21
5/7 minus 2/6 as a fraction is 8/21.

where
5/7 is a proper fraction as a minuend,
2/6 is a proper fraction as a subtrahend,
8/21 is the difference between 5/7 and 2/6.

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5/7 minus 2/6 as a decimal
5/7 - 2/6 = 8/21
8/21 = 0.381
(5/7) - (2/6) as a decimal is 0.381

where
0.381 is the difference between 5/7 and 2/6.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/6 from 5/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/7 minus 2/6.
1. LCM method
2. Cross multiplication method.

(5/7) - (2/6) using LCM Method:
What is 5/7 minus 2/6 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/7
Fraction B: 2/6

What to be found?
(5/7) - (2/6) = ?
Find what's the difference between 5/7 and 2/6.

step 2 Compare the denominators of fractions 5/7 and 2/6 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/7 and 2/6 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 5/7 and 2/6:
The LCM of 7 and 6 is 42.

step 4 Write the fractions 5/7 and 2/6 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/7 - 2/6
= [(5 x 42)/(7 x 42)] - [(2 x 42)/(6 x 42)]

step 5 Simplify the expression to have common denominator:
= 30/42 - 14/42

step 6 Take the common values out and rewrite the above expression like the below:
= 1/42 x (30/1 - 14/1)
= 1/42 x (30 - 14)

step 7Simplify the above expression further:
= 1/42 x 16
= 16/42
= 8/21
5/7 - 2/6 = 8/21

Hence,
5/7 minus 2/6 as a fraction is 8/21.

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5/7 - 2/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/7
Fraction B: 2/6

What to be found?
(5/7)-(2/6) = ?
Find what's the difference between 5/7 and 2/6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 6), find the product of numerator of Fraction B and denominator of Fraction A (2 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:
= (5 x 6) - (2 x 7)/(7 x 6)

step 3 Simplify and rewrite the fraction:
= (30 - 14)/42
= 16/42
= 8/21
5/7 - 2/6 = 8/21

Hence,
5/7 minus 2/6 in fraction is 8/21