12/1 - 5/13 as a fraction

Learn how to find what is 12/1 minus 5/13 in fraction form just in a few minutes. We have covered the easiest method to write 12/1 - 5/13 as a fraction and decimal.

Summary: 12/1 minus 5/13 = 151/13
Since both fractions have unequal denominators, 12/1 minus 5/13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 12/1 and fraction 5/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 13. 13 is the LCM of 1 and 13. Multiplying the LCM 13 with the numerators and denominators of both fractions (12/1 x 13/13) - (5/13 x 13/13), and simplify further in order to have the common denominator. So the equivalent fraction for 12/1 is 156/13 and for 5/13 is 5/13. By simplifying this fraction subtraction 156/13 - 5/13, it becomes 151/13.

CALCULATION: 12/1 - 5/13 as a fraction
12/1 - 5/13 = (?)
12/1 - 5/13 = [(12 x 13) - (5 x 1)]/(1 x 13)
= (156 - 5)/13
= 151/13
12/1 - 5/13 = 151/13
12/1 minus 5/13 as a fraction is 151/13.

where
12/1 is a improper fraction as a minuend,
5/13 is a proper fraction as a subtrahend,
151/13 is the difference between 12/1 and 5/13.

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12/1 minus 5/13 as a decimal
12/1 - 5/13 = 151/13
151/13 = 11.6154
(12/1) - (5/13) as a decimal is 11.6154

where
11.6154 is the difference between 12/1 and 5/13.

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

(12/1) - (5/13) using LCM Method:
What is 12/1 minus 5/13 as a fraction?

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

What to be found?
(12/1) - (5/13) = ?
Find what's the difference between 12/1 and 5/13.

step 2 Compare the denominators of fractions 12/1 and 5/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 12/1 and 5/13 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 12/1 and 5/13:
The LCM of 1 and 13 is 13.

step 4 Write the fractions 12/1 and 5/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 12/1 - 5/13
= [(12 x 13)/(1 x 13)] - [(5 x 13)/(13 x 13)]

step 5 Simplify the expression to have common denominator:
= 156/13 - 5/13

step 6 Take the common values out and rewrite the above expression like the below:
= 1/13 x (156/1 - 5/1)
= 1/13 x (156 - 5)

step 7Simplify the above expression further:
= 1/13 x 151
= 151/13
12/1 - 5/13 = 151/13

Hence,
12/1 minus 5/13 as a fraction is 151/13.

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

What to be found?
(12/1)-(5/13) = ?
Find what's the difference between 12/1 and 5/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (12 x 13), find the product of numerator of Fraction B and denominator of Fraction A (5 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 13) and rewrite the equation as like the below:
= (12 x 13) - (5 x 1)/(1 x 13)

step 3 Simplify and rewrite the fraction:
= (156 - 5)/13
12/1 - 5/13 = 151/13

Hence,
12/1 minus 5/13 in fraction is 151/13