11/2 - 2/13 as a fraction

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

Summary: 11/2 minus 2/13 = 139/26
Since both fractions have unequal denominators, 11/2 minus 2/13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 11/2 and fraction 2/13 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) - (2/13 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 2/13 is 4/26. By simplifying this fraction subtraction 143/26 - 4/26, it becomes 139/26.

CALCULATION: 11/2 - 2/13 as a fraction
11/2 - 2/13 = (?)
11/2 - 2/13 = [(11 x 13) - (2 x 2)]/(2 x 13)
= (143 - 4)/26
= 139/26
11/2 - 2/13 = 139/26
11/2 minus 2/13 as a fraction is 139/26.

where
11/2 is a improper fraction as a minuend,
2/13 is a proper fraction as a subtrahend,
139/26 is the difference between 11/2 and 2/13.

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11/2 minus 2/13 as a decimal
11/2 - 2/13 = 139/26
139/26 = 5.3462
(11/2) - (2/13) as a decimal is 5.3462

where
5.3462 is the difference between 11/2 and 2/13.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/13 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 2/13.
1. LCM method
2. Cross multiplication method.

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 143/26 - 4/26

step 6 Take the common values out and rewrite the above expression like the below:
= 1/26 x (143/1 - 4/1)
= 1/26 x (143 - 4)

step 7Simplify the above expression further:
= 1/26 x 139
= 139/26
11/2 - 2/13 = 139/26

Hence,
11/2 minus 2/13 as a fraction is 139/26.

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

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

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 (2 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) - (2 x 2)/(2 x 13)

step 3 Simplify and rewrite the fraction:
= (143 - 4)/26
11/2 - 2/13 = 139/26

Hence,
11/2 minus 2/13 in fraction is 139/26