11/2 - 12/13 as a fraction

Learn how to find what is 11/2 minus 12/13 in fraction form just in a few minutes. We have covered the easiest method to write 11/2 - 12/13 as a fraction and decimal.

Summary: 11/2 minus 12/13 = 119/26
Since both fractions have unequal denominators, 11/2 minus 12/13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 11/2 and fraction 12/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 13. 26 is the LCM of 2 and 13. Multiplying the LCM 26 with the numerators and denominators of both fractions (11/2 x 26/26) - (12/13 x 26/26), and simplify further in order to have the common denominator. So the equivalent fraction for 11/2 is 143/26 and for 12/13 is 24/26. By simplifying this fraction subtraction 143/26 - 24/26, it becomes 119/26.

CALCULATION: 11/2 - 12/13 as a fraction
11/2 - 12/13 = (?)
11/2 - 12/13 = [(11 x 13) - (12 x 2)]/(2 x 13)
= (143 - 24)/26
= 119/26
11/2 - 12/13 = 119/26
11/2 minus 12/13 as a fraction is 119/26.

where
11/2 is a improper fraction as a minuend,
12/13 is a proper fraction as a subtrahend,
119/26 is the difference between 11/2 and 12/13.

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11/2 minus 12/13 as a decimal
11/2 - 12/13 = 119/26
119/26 = 4.5769
(11/2) - (12/13) as a decimal is 4.5769

where
4.5769 is the difference between 11/2 and 12/13.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 12/13 from 11/2. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 11/2 minus 12/13.
1. LCM method
2. Cross multiplication method.

(11/2) - (12/13) using LCM Method:
What is 11/2 minus 12/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/2
Fraction B: 12/13

What to be found?
(11/2) - (12/13) = ?
Find what's the difference between 11/2 and 12/13.

step 2 Compare the denominators of fractions 11/2 and 12/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 11/2 and 12/13 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 11/2 and 12/13:
The LCM of 2 and 13 is 26.

step 4 Write the fractions 11/2 and 12/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/2 - 12/13
= [(11 x 26)/(2 x 26)] - [(12 x 26)/(13 x 26)]

step 5 Simplify the expression to have common denominator:
= 143/26 - 24/26

step 6 Take the common values out and rewrite the above expression like the below:
= 1/26 x (143/1 - 24/1)
= 1/26 x (143 - 24)

step 7Simplify the above expression further:
= 1/26 x 119
= 119/26
11/2 - 12/13 = 119/26

Hence,
11/2 minus 12/13 as a fraction is 119/26.

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11/2 - 12/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/2
Fraction B: 12/13

What to be found?
(11/2)-(12/13) = ?
Find what's the difference between 11/2 and 12/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 13), find the product of numerator of Fraction B and denominator of Fraction A (12 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 13) and rewrite the equation as like the below:
= (11 x 13) - (12 x 2)/(2 x 13)

step 3 Simplify and rewrite the fraction:
= (143 - 24)/26
11/2 - 12/13 = 119/26

Hence,
11/2 minus 12/13 in fraction is 119/26