5/8 + 6/13 as a fraction

Learn how to find what is 5/8 plus 6/13 in fraction form just in a few minutes. We have covered the easiest method to write 5/8 + 6/13 as a fraction and decimal.

Summary: 5/8 plus 6/13 = 113/104
Since both fractions have unequal denominators, 5/8 plus 6/13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/8 and fraction 6/13 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 (5/8 x 104/104) + (6/13 x 104/104), and simplify further in order to have the common denominator. So the equivalent fraction for 5/8 is 65/104 and for 6/13 is 48/104. By simplifying this fraction addition 65/104 + 48/104, it becomes 113/104.

CALCULATION: 5/8 + 6/13 as a fraction
5/8 + 6/13 = (?)
5/8 + 6/13 = [(5 x 13) + (6 x 8)]/(8 x 13)
= (65 + 48)/104
= 113/104
5/8 + 6/13 = 113/104
5/8 plus 6/13 as a fraction is 113/104.

where
5/8 is a proper fraction as an addend,
6/13 is a proper fraction as an addend,
113/104 is the sum of 5/8 and 6/13.

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5/8 plus 6/13 as a decimal
5/8 + 6/13 = 113/104
113/104 = 1.0865
(5/8) + (6/13) as a decimal is 1.0865

where
1.0865 is the sum of 5/8 and 6/13.

The below workout with step by step calculation shows how to find the equivalent fraction between 5/8 and 6/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/8 plus 6/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(5/8) + (6/13) using LCM Method:
What is 5/8 plus 6/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/8
Fraction B: 6/13

What to be found?
(5/8) + (6/13) = ?
Find what's the sum of 5/8 and 6/13.

step 2 Compare the denominators of fractions 5/8 and 6/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/8 and 6/13 are not equal, it is said to be unlike fractions addition.

step 3For unlike fractions addition, find the LCM (least common multiple) of both denominators of fractions 5/8 and 6/13:
The LCM of 8 and 13 is 104.

step 4 Write the fractions 5/8 and 6/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/8 + 6/13
= [(5 x 104)/(8 x 104)] + [(6 x 104)/(13 x 104)]

step 5 Simplify the expression to have common denominator:
= 65/104 + 48/104

step 6 Take the common values out and rewrite the above expression like the below:
= 1/104 x (65/1 + 48/1)
= 1/104 x (65 + 48)

step 7Simplify the above expression further:
= 1/104 x 113
= 113/104
5/8 + 6/13 = 113/104

Hence,
5/8 plus 6/13 as a fraction is 113/104.

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5/8 + 6/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/8
Fraction B: 6/13

What to be found?
(5/8)+(6/13) = ?
Find what's the sum of 5/8 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 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:
= (5 x 13) + (6 x 8)/(8 x 13)

step 3 Simplify and rewrite the fraction:
= (65 + 48)/104
5/8 + 6/13 = 113/104

Hence,
5/8 plus 6/13 in fraction is 113/104