12/13 - 5/12 as a fraction

Learn how to find what is 12/13 minus 5/12 in fraction form just in a few minutes. We have covered the easiest method to write 12/13 - 5/12 as a fraction and decimal.

Summary: 12/13 minus 5/12 = 79/156
Since both fractions have unequal denominators, 12/13 minus 5/12 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 12/13 and fraction 5/12 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 13 and 12. 156 is the LCM of 13 and 12. Multiplying the LCM 156 with the numerators and denominators of both fractions (12/13 x 156/156) - (5/12 x 156/156), and simplify further in order to have the common denominator. So the equivalent fraction for 12/13 is 144/156 and for 5/12 is 65/156. By simplifying this fraction subtraction 144/156 - 65/156, it becomes 79/156.

Pie Chart Representation: 12/13 - 5/12 = 79/156

CALCULATION: 12/13 - 5/12 as a fraction
12/13 - 5/12 = (?)
12/13 - 5/12 = [(12 x 12) - (5 x 13)]/(13 x 12)
= (144 - 65)/156
= 79/156
12/13 - 5/12 = 79/156
12/13 minus 5/12 as a fraction is 79/156.

where
12/13 is a proper fraction as a minuend,
5/12 is a proper fraction as a subtrahend,
79/156 is the difference between 12/13 and 5/12.

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12/13 minus 5/12 as a decimal
12/13 - 5/12 = 79/156
79/156 = 0.5064
(12/13) - (5/12) as a decimal is 0.5064

where
0.5064 is the difference between 12/13 and 5/12.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/12 from 12/13. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 12/13 minus 5/12.
1. LCM method
2. Cross multiplication method.

(12/13) - (5/12) using LCM Method:
What is 12/13 minus 5/12 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/13
Fraction B: 5/12

What to be found?
(12/13) - (5/12) = ?
Find what's the difference between 12/13 and 5/12.

step 2 Compare the denominators of fractions 12/13 and 5/12 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 12/13 and 5/12 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 12/13 and 5/12:
The LCM of 13 and 12 is 156.

step 4 Write the fractions 12/13 and 5/12 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 12/13 - 5/12
= [(12 x 156)/(13 x 156)] - [(5 x 156)/(12 x 156)]

step 5 Simplify the expression to have common denominator:
= 144/156 - 65/156

step 6 Take the common values out and rewrite the above expression like the below:
= 1/156 x (144/1 - 65/1)
= 1/156 x (144 - 65)

step 7Simplify the above expression further:
= 1/156 x 79
= 79/156
12/13 - 5/12 = 79/156

Hence,
12/13 minus 5/12 as a fraction is 79/156.

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12/13 - 5/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/13
Fraction B: 5/12

What to be found?
(12/13)-(5/12) = ?
Find what's the difference between 12/13 and 5/12.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (12 x 12), find the product of numerator of Fraction B and denominator of Fraction A (5 x 13), and find the product of both denominators of Fraction A and Fraction B (13 x 12) and rewrite the equation as like the below:
= (12 x 12) - (5 x 13)/(13 x 12)

step 3 Simplify and rewrite the fraction:
= (144 - 65)/156
12/13 - 5/12 = 79/156

Hence,
12/13 minus 5/12 in fraction is 79/156