13/8 + 5/9 as a fraction

Learn how to find what is 13/8 plus 5/9 in fraction form just in a few minutes. We have covered the easiest method to write 13/8 + 5/9 as a fraction and decimal.

Summary: 13/8 plus 5/9 = 157/72
Since both fractions have unequal denominators, 13/8 plus 5/9 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/8 and fraction 5/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 9. 72 is the LCM of 8 and 9. Multiplying the LCM 72 with the numerators and denominators of both fractions (13/8 x 72/72) + (5/9 x 72/72), and simplify further in order to have the common denominator. So the equivalent fraction for 13/8 is 117/72 and for 5/9 is 40/72. By simplifying this fraction addition 117/72 + 40/72, it becomes 157/72.

CALCULATION: 13/8 + 5/9 as a fraction
13/8 + 5/9 = (?)
13/8 + 5/9 = [(13 x 9) + (5 x 8)]/(8 x 9)
= (117 + 40)/72
= 157/72
13/8 + 5/9 = 157/72
13/8 plus 5/9 as a fraction is 157/72.

where
13/8 is a improper fraction as an addend,
5/9 is a proper fraction as an addend,
157/72 is the sum of 13/8 and 5/9.

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13/8 plus 5/9 as a decimal
13/8 + 5/9 = 157/72
157/72 = 2.1806
(13/8) + (5/9) as a decimal is 2.1806

where
2.1806 is the sum of 13/8 and 5/9.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/8 and 5/9 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/8 plus 5/9 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/8) + (5/9) using LCM Method:
What is 13/8 plus 5/9 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/8
Fraction B: 5/9

What to be found?
(13/8) + (5/9) = ?
Find what's the sum of 13/8 and 5/9.

step 2 Compare the denominators of fractions 13/8 and 5/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/8 and 5/9 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 5/9:
The LCM of 8 and 9 is 72.

step 4 Write the fractions 13/8 and 5/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/8 + 5/9
= [(13 x 72)/(8 x 72)] + [(5 x 72)/(9 x 72)]

step 5 Simplify the expression to have common denominator:
= 117/72 + 40/72

step 6 Take the common values out and rewrite the above expression like the below:
= 1/72 x (117/1 + 40/1)
= 1/72 x (117 + 40)

step 7Simplify the above expression further:
= 1/72 x 157
= 157/72
13/8 + 5/9 = 157/72

Hence,
13/8 plus 5/9 as a fraction is 157/72.

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13/8 + 5/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/8
Fraction B: 5/9

What to be found?
(13/8)+(5/9) = ?
Find what's the sum of 13/8 and 5/9.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 9), 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 9) and rewrite the equation as like the below:
= (13 x 9) + (5 x 8)/(8 x 9)

step 3 Simplify and rewrite the fraction:
= (117 + 40)/72
13/8 + 5/9 = 157/72

Hence,
13/8 plus 5/9 in fraction is 157/72