1/2 - 5/13 as a fraction

Learn how to find what is 1/2 minus 5/13 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 - 5/13 as a fraction and decimal.

Summary: 1/2 minus 5/13 = 3/26
Since both fractions have unequal denominators, 1/2 minus 5/13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/2 and fraction 5/13 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 (1/2 x 26/26) - (5/13 x 26/26), and simplify further in order to have the common denominator. So the equivalent fraction for 1/2 is 13/26 and for 5/13 is 10/26. By simplifying this fraction subtraction 13/26 - 10/26, it becomes 3/26.

Pie Chart Representation: 1/2 - 5/13 = 3/26

CALCULATION: 1/2 - 5/13 as a fraction
1/2 - 5/13 = (?)
1/2 - 5/13 = [(1 x 13) - (5 x 2)]/(2 x 13)
= (13 - 10)/26
= 3/26
1/2 - 5/13 = 3/26
1/2 minus 5/13 as a fraction is 3/26.

where
1/2 is a proper fraction as a minuend,
5/13 is a proper fraction as a subtrahend,
3/26 is the difference between 1/2 and 5/13.

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1/2 minus 5/13 as a decimal
1/2 - 5/13 = 3/26
3/26 = 0.1154
(1/2) - (5/13) as a decimal is 0.1154

where
0.1154 is the difference between 1/2 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 1/2. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/2 minus 5/13.
1. LCM method
2. Cross multiplication method.

(1/2) - (5/13) using LCM Method:
What is 1/2 minus 5/13 as a fraction?

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

What to be found?
(1/2) - (5/13) = ?
Find what's the difference between 1/2 and 5/13.

step 2 Compare the denominators of fractions 1/2 and 5/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/2 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 1/2 and 5/13:
The LCM of 2 and 13 is 26.

step 4 Write the fractions 1/2 and 5/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/2 - 5/13
= [(1 x 26)/(2 x 26)] - [(5 x 26)/(13 x 26)]

step 5 Simplify the expression to have common denominator:
= 13/26 - 10/26

step 6 Take the common values out and rewrite the above expression like the below:
= 1/26 x (13/1 - 10/1)
= 1/26 x (13 - 10)

step 7Simplify the above expression further:
= 1/26 x 3
= 3/26
1/2 - 5/13 = 3/26

Hence,
1/2 minus 5/13 as a fraction is 3/26.

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

What to be found?
(1/2)-(5/13) = ?
Find what's the difference between 1/2 and 5/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 13), find the product of numerator of Fraction B and denominator of Fraction A (5 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:
= (1 x 13) - (5 x 2)/(2 x 13)

step 3 Simplify and rewrite the fraction:
= (13 - 10)/26
1/2 - 5/13 = 3/26

Hence,
1/2 minus 5/13 in fraction is 3/26