11/8 + 15/13 as a fraction

Learn how to find what is 11/8 plus 15/13 in fraction form just in a few minutes. We have covered the easiest method to write 11/8 + 15/13 as a fraction and decimal.

Summary: 11/8 plus 15/13 = 263/104
Since both fractions have unequal denominators, 11/8 plus 15/13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/8 and fraction 15/13 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 (11/8 x 104/104) + (15/13 x 104/104), and simplify further in order to have the common denominator. So the equivalent fraction for 11/8 is 143/104 and for 15/13 is 120/104. By simplifying this fraction addition 143/104 + 120/104, it becomes 263/104.

CALCULATION: 11/8 + 15/13 as a fraction
11/8 + 15/13 = (?)
11/8 + 15/13 = [(11 x 13) + (15 x 8)]/(8 x 13)
= (143 + 120)/104
= 263/104
11/8 + 15/13 = 263/104
11/8 plus 15/13 as a fraction is 263/104.

where
11/8 is a improper fraction as an addend,
15/13 is a improper fraction as an addend,
263/104 is the sum of 11/8 and 15/13.

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11/8 plus 15/13 as a decimal
11/8 + 15/13 = 263/104
263/104 = 2.5288
(11/8) + (15/13) as a decimal is 2.5288

where
2.5288 is the sum of 11/8 and 15/13.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/8 and 15/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/8 plus 15/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/8) + (15/13) using LCM Method:
What is 11/8 plus 15/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/8
Fraction B: 15/13

What to be found?
(11/8) + (15/13) = ?
Find what's the sum of 11/8 and 15/13.

step 2 Compare the denominators of fractions 11/8 and 15/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/8 and 15/13 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 11/8 and 15/13:
The LCM of 8 and 13 is 104.

step 4 Write the fractions 11/8 and 15/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/8 + 15/13
= [(11 x 104)/(8 x 104)] + [(15 x 104)/(13 x 104)]

step 5 Simplify the expression to have common denominator:
= 143/104 + 120/104

step 6 Take the common values out and rewrite the above expression like the below:
= 1/104 x (143/1 + 120/1)
= 1/104 x (143 + 120)

step 7Simplify the above expression further:
= 1/104 x 263
= 263/104
11/8 + 15/13 = 263/104

Hence,
11/8 plus 15/13 as a fraction is 263/104.

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11/8 + 15/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/8
Fraction B: 15/13

What to be found?
(11/8)+(15/13) = ?
Find what's the sum of 11/8 and 15/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 13), find the product of numerator of Fraction B and denominator of Fraction A (15 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:
= (11 x 13) + (15 x 8)/(8 x 13)

step 3 Simplify and rewrite the fraction:
= (143 + 120)/104
11/8 + 15/13 = 263/104

Hence,
11/8 plus 15/13 in fraction is 263/104