5/2 - 6/13 as a fraction

Learn how to find what is 5/2 minus 6/13 in fraction form just in a few minutes. We have covered the easiest method to write 5/2 - 6/13 as a fraction and decimal.

Summary: 5/2 minus 6/13 = 53/26
Since both fractions have unequal denominators, 5/2 minus 6/13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/2 and fraction 6/13 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 (5/2 x 26/26) - (6/13 x 26/26), and simplify further in order to have the common denominator. So the equivalent fraction for 5/2 is 65/26 and for 6/13 is 12/26. By simplifying this fraction subtraction 65/26 - 12/26, it becomes 53/26.

CALCULATION: 5/2 - 6/13 as a fraction
5/2 - 6/13 = (?)
5/2 - 6/13 = [(5 x 13) - (6 x 2)]/(2 x 13)
= (65 - 12)/26
= 53/26
5/2 - 6/13 = 53/26
5/2 minus 6/13 as a fraction is 53/26.

where
5/2 is a improper fraction as a minuend,
6/13 is a proper fraction as a subtrahend,
53/26 is the difference between 5/2 and 6/13.

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5/2 minus 6/13 as a decimal
5/2 - 6/13 = 53/26
53/26 = 2.0385
(5/2) - (6/13) as a decimal is 2.0385

where
2.0385 is the difference between 5/2 and 6/13.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 6/13 from 5/2. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/2 minus 6/13.
1. LCM method
2. Cross multiplication method.

(5/2) - (6/13) using LCM Method:
What is 5/2 minus 6/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/2
Fraction B: 6/13

What to be found?
(5/2) - (6/13) = ?
Find what's the difference between 5/2 and 6/13.

step 2 Compare the denominators of fractions 5/2 and 6/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/2 and 6/13 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 5/2 and 6/13:
The LCM of 2 and 13 is 26.

step 4 Write the fractions 5/2 and 6/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/2 - 6/13
= [(5 x 26)/(2 x 26)] - [(6 x 26)/(13 x 26)]

step 5 Simplify the expression to have common denominator:
= 65/26 - 12/26

step 6 Take the common values out and rewrite the above expression like the below:
= 1/26 x (65/1 - 12/1)
= 1/26 x (65 - 12)

step 7Simplify the above expression further:
= 1/26 x 53
= 53/26
5/2 - 6/13 = 53/26

Hence,
5/2 minus 6/13 as a fraction is 53/26.

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5/2 - 6/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/2
Fraction B: 6/13

What to be found?
(5/2)-(6/13) = ?
Find what's the difference between 5/2 and 6/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 13), find the product of numerator of Fraction B and denominator of Fraction A (6 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:
= (5 x 13) - (6 x 2)/(2 x 13)

step 3 Simplify and rewrite the fraction:
= (65 - 12)/26
5/2 - 6/13 = 53/26

Hence,
5/2 minus 6/13 in fraction is 53/26