13/8 + 9/13 as a fraction

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

Summary: 13/8 plus 9/13 = 241/104
Since both fractions have unequal denominators, 13/8 plus 9/13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/8 and fraction 9/13 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 (13/8 x 104/104) + (9/13 x 104/104), and simplify further in order to have the common denominator. So the equivalent fraction for 13/8 is 169/104 and for 9/13 is 72/104. By simplifying this fraction addition 169/104 + 72/104, it becomes 241/104.

CALCULATION: 13/8 + 9/13 as a fraction
13/8 + 9/13 = (?)
13/8 + 9/13 = [(13 x 13) + (9 x 8)]/(8 x 13)
= (169 + 72)/104
= 241/104
13/8 + 9/13 = 241/104
13/8 plus 9/13 as a fraction is 241/104.

where
13/8 is a improper fraction as an addend,
9/13 is a proper fraction as an addend,
241/104 is the sum of 13/8 and 9/13.

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13/8 plus 9/13 as a decimal
13/8 + 9/13 = 241/104
241/104 = 2.3173
(13/8) + (9/13) as a decimal is 2.3173

where
2.3173 is the sum of 13/8 and 9/13.

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

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

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

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

step 2 Compare the denominators of fractions 13/8 and 9/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/8 and 9/13 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 13/8 and 9/13:
The LCM of 8 and 13 is 104.

step 4 Write the fractions 13/8 and 9/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/8 + 9/13
= [(13 x 104)/(8 x 104)] + [(9 x 104)/(13 x 104)]

step 5 Simplify the expression to have common denominator:
= 169/104 + 72/104

step 6 Take the common values out and rewrite the above expression like the below:
= 1/104 x (169/1 + 72/1)
= 1/104 x (169 + 72)

step 7Simplify the above expression further:
= 1/104 x 241
= 241/104
13/8 + 9/13 = 241/104

Hence,
13/8 plus 9/13 as a fraction is 241/104.

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 13), find the product of numerator of Fraction B and denominator of Fraction A (9 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:
= (13 x 13) + (9 x 8)/(8 x 13)

step 3 Simplify and rewrite the fraction:
= (169 + 72)/104
13/8 + 9/13 = 241/104

Hence,
13/8 plus 9/13 in fraction is 241/104