6/7 - 7/2 as a fraction

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

Summary: 6/7 minus 7/2 = -37/14
Since both fractions have unequal denominators, 6/7 minus 7/2 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 6/7 and fraction 7/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 2. 14 is the LCM of 7 and 2. Multiplying the LCM 14 with the numerators and denominators of both fractions (6/7 x 14/14) - (7/2 x 14/14), and simplify further in order to have the common denominator. So the equivalent fraction for 6/7 is 12/14 and for 7/2 is 49/14. By simplifying this fraction subtraction 12/14 - 49/14, it becomes -37/14.

CALCULATION: 6/7 - 7/2 as a fraction
6/7 - 7/2 = (?)
6/7 - 7/2 = [(6 x 2) - (7 x 7)]/(7 x 2)
= (12 - 49)/14
= -37/14
6/7 - 7/2 = -37/14
6/7 minus 7/2 as a fraction is -37/14.

where
6/7 is a proper fraction as a minuend,
7/2 is a improper fraction as a subtrahend,
-37/14 is the difference between 6/7 and 7/2.

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6/7 minus 7/2 as a decimal
6/7 - 7/2 = -37/14
-37/14 = -2.6429
(6/7) - (7/2) as a decimal is -2.6429

where
-2.6429 is the difference between 6/7 and 7/2.

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

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

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

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

step 2 Compare the denominators of fractions 6/7 and 7/2 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 6/7 and 7/2 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 6/7 and 7/2:
The LCM of 7 and 2 is 14.

step 4 Write the fractions 6/7 and 7/2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 6/7 - 7/2
= [(6 x 14)/(7 x 14)] - [(7 x 14)/(2 x 14)]

step 5 Simplify the expression to have common denominator:
= 12/14 - 49/14

step 6 Take the common values out and rewrite the above expression like the below:
= 1/14 x (12/1 - 49/1)
= 1/14 x (12 - 49)

step 7Simplify the above expression further:
= 1/14 x -37
= -37/14
6/7 - 7/2 = -37/14

Hence,
6/7 minus 7/2 as a fraction is -37/14.

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

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

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

step 3 Simplify and rewrite the fraction:
= (12 - 49)/14
6/7 - 7/2 = -37/14

Hence,
6/7 minus 7/2 in fraction is -37/14