13/8 - 5/13 as a fraction

Learn how to find what is 13/8 minus 5/13 in fraction form just in a few minutes. We have covered the easiest method to write 13/8 - 5/13 as a fraction and decimal.

Summary: 13/8 minus 5/13 = 129/104
Since both fractions have unequal denominators, 13/8 minus 5/13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 13/8 and fraction 5/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 13. 104 is the LCM of 8 and 13. Multiplying the LCM 104 with the numerators and denominators of both fractions (13/8 x 104/104) - (5/13 x 104/104), and simplify further in order to have the common denominator. So the equivalent fraction for 13/8 is 169/104 and for 5/13 is 40/104. By simplifying this fraction subtraction 169/104 - 40/104, it becomes 129/104.

CALCULATION: 13/8 - 5/13 as a fraction
13/8 - 5/13 = (?)
13/8 - 5/13 = [(13 x 13) - (5 x 8)]/(8 x 13)
= (169 - 40)/104
= 129/104
13/8 - 5/13 = 129/104
13/8 minus 5/13 as a fraction is 129/104.

where
13/8 is a improper fraction as a minuend,
5/13 is a proper fraction as a subtrahend,
129/104 is the difference between 13/8 and 5/13.

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13/8 minus 5/13 as a decimal
13/8 - 5/13 = 129/104
129/104 = 1.2404
(13/8) - (5/13) as a decimal is 1.2404

where
1.2404 is the difference between 13/8 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 13/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 13/8 minus 5/13.
1. LCM method
2. Cross multiplication method.

(13/8) - (5/13) using LCM Method:
What is 13/8 minus 5/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/8
Fraction B: 5/13

What to be found?
(13/8) - (5/13) = ?
Find what's the difference between 13/8 and 5/13.

step 2 Compare the denominators of fractions 13/8 and 5/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 13/8 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 13/8 and 5/13:
The LCM of 8 and 13 is 104.

step 4 Write the fractions 13/8 and 5/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/8 - 5/13
= [(13 x 104)/(8 x 104)] - [(5 x 104)/(13 x 104)]

step 5 Simplify the expression to have common denominator:
= 169/104 - 40/104

step 6 Take the common values out and rewrite the above expression like the below:
= 1/104 x (169/1 - 40/1)
= 1/104 x (169 - 40)

step 7Simplify the above expression further:
= 1/104 x 129
= 129/104
13/8 - 5/13 = 129/104

Hence,
13/8 minus 5/13 as a fraction is 129/104.

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13/8 - 5/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/8
Fraction B: 5/13

What to be found?
(13/8)-(5/13) = ?
Find what's the difference between 13/8 and 5/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 13), find the product of numerator of Fraction B and denominator of Fraction A (5 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 13) and rewrite the equation as like the below:
= (13 x 13) - (5 x 8)/(8 x 13)

step 3 Simplify and rewrite the fraction:
= (169 - 40)/104
13/8 - 5/13 = 129/104

Hence,
13/8 minus 5/13 in fraction is 129/104