7/6 - 5/4 as a fraction

Learn how to find what is 7/6 minus 5/4 in fraction form just in a few minutes. We have covered the easiest method to write 7/6 - 5/4 as a fraction and decimal.

Summary: 7/6 minus 5/4 = -1/12
Since both fractions have unequal denominators, 7/6 minus 5/4 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 7/6 and fraction 5/4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 4. 12 is the LCM of 6 and 4. Multiplying the LCM 12 with the numerators and denominators of both fractions (7/6 x 12/12) - (5/4 x 12/12), and simplify further in order to have the common denominator. So the equivalent fraction for 7/6 is 14/12 and for 5/4 is 15/12. By simplifying this fraction subtraction 14/12 - 15/12, it becomes -1/12.

CALCULATION: 7/6 - 5/4 as a fraction
7/6 - 5/4 = (?)
7/6 - 5/4 = [(7 x 4) - (5 x 6)]/(6 x 4)
= (28 - 30)/24
= -2/24
= (2 x -1)/(2 x 12)
= -1/12
7/6 - 5/4 = -1/12
7/6 minus 5/4 as a fraction is -1/12.

where
7/6 is a improper fraction as a minuend,
5/4 is a improper fraction as a subtrahend,
-1/12 is the difference between 7/6 and 5/4.

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7/6 minus 5/4 as a decimal
7/6 - 5/4 = -1/12
-1/12 = -0.0833
(7/6) - (5/4) as a decimal is -0.0833

where
-0.0833 is the difference between 7/6 and 5/4.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/4 from 7/6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 7/6 minus 5/4.
1. LCM method
2. Cross multiplication method.

(7/6) - (5/4) using LCM Method:
What is 7/6 minus 5/4 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/6
Fraction B: 5/4

What to be found?
(7/6) - (5/4) = ?
Find what's the difference between 7/6 and 5/4.

step 2 Compare the denominators of fractions 7/6 and 5/4 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/6 and 5/4 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 7/6 and 5/4:
The LCM of 6 and 4 is 12.

step 4 Write the fractions 7/6 and 5/4 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/6 - 5/4
= [(7 x 12)/(6 x 12)] - [(5 x 12)/(4 x 12)]

step 5 Simplify the expression to have common denominator:
= 14/12 - 15/12

step 6 Take the common values out and rewrite the above expression like the below:
= 1/12 x (14/1 - 15/1)
= 1/12 x (14 - 15)

step 7Simplify the above expression further:
= 1/12 x -1
= -1/12
7/6 - 5/4 = -1/12

Hence,
7/6 minus 5/4 as a fraction is -1/12.

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7/6 - 5/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/6
Fraction B: 5/4

What to be found?
(7/6)-(5/4) = ?
Find what's the difference between 7/6 and 5/4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 4), find the product of numerator of Fraction B and denominator of Fraction A (5 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 4) and rewrite the equation as like the below:
= (7 x 4) - (5 x 6)/(6 x 4)

step 3 Simplify and rewrite the fraction:
= (28 - 30)/24
= -2/24
= -1/12
7/6 - 5/4 = -1/12

Hence,
7/6 minus 5/4 in fraction is -1/12