13/8 + 8/5 as a fraction

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

Summary: 13/8 plus 8/5 = 129/40
Since both fractions have unequal denominators, 13/8 plus 8/5 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/8 and fraction 8/5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 5. 40 is the LCM of 8 and 5. Multiplying the LCM 40 with the numerators and denominators of both fractions (13/8 x 40/40) + (8/5 x 40/40), and simplify further in order to have the common denominator. So the equivalent fraction for 13/8 is 65/40 and for 8/5 is 64/40. By simplifying this fraction addition 65/40 + 64/40, it becomes 129/40.

CALCULATION: 13/8 + 8/5 as a fraction
13/8 + 8/5 = (?)
13/8 + 8/5 = [(13 x 5) + (8 x 8)]/(8 x 5)
= (65 + 64)/40
= 129/40
13/8 + 8/5 = 129/40
13/8 plus 8/5 as a fraction is 129/40.

where
13/8 is a improper fraction as an addend,
8/5 is a improper fraction as an addend,
129/40 is the sum of 13/8 and 8/5.

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13/8 plus 8/5 as a decimal
13/8 + 8/5 = 129/40
129/40 = 3.225
(13/8) + (8/5) as a decimal is 3.225

where
3.225 is the sum of 13/8 and 8/5.

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

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

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

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

step 2 Compare the denominators of fractions 13/8 and 8/5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/8 and 8/5 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 13/8 and 8/5:
The LCM of 8 and 5 is 40.

step 4 Write the fractions 13/8 and 8/5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/8 + 8/5
= [(13 x 40)/(8 x 40)] + [(8 x 40)/(5 x 40)]

step 5 Simplify the expression to have common denominator:
= 65/40 + 64/40

step 6 Take the common values out and rewrite the above expression like the below:
= 1/40 x (65/1 + 64/1)
= 1/40 x (65 + 64)

step 7Simplify the above expression further:
= 1/40 x 129
= 129/40
13/8 + 8/5 = 129/40

Hence,
13/8 plus 8/5 as a fraction is 129/40.

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

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

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

step 3 Simplify and rewrite the fraction:
= (65 + 64)/40
13/8 + 8/5 = 129/40

Hence,
13/8 plus 8/5 in fraction is 129/40