11/6 + 10/13 as a fraction

Learn how to find what is 11/6 plus 10/13 in fraction form just in a few minutes. We have covered the easiest method to write 11/6 + 10/13 as a fraction and decimal.

Summary: 11/6 plus 10/13 = 203/78
Since both fractions have unequal denominators, 11/6 plus 10/13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/6 and fraction 10/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 13. 78 is the LCM of 6 and 13. Multiplying the LCM 78 with the numerators and denominators of both fractions (11/6 x 78/78) + (10/13 x 78/78), and simplify further in order to have the common denominator. So the equivalent fraction for 11/6 is 143/78 and for 10/13 is 60/78. By simplifying this fraction addition 143/78 + 60/78, it becomes 203/78.

CALCULATION: 11/6 + 10/13 as a fraction
11/6 + 10/13 = (?)
11/6 + 10/13 = [(11 x 13) + (10 x 6)]/(6 x 13)
= (143 + 60)/78
= 203/78
11/6 + 10/13 = 203/78
11/6 plus 10/13 as a fraction is 203/78.

where
11/6 is a improper fraction as an addend,
10/13 is a proper fraction as an addend,
203/78 is the sum of 11/6 and 10/13.

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11/6 plus 10/13 as a decimal
11/6 + 10/13 = 203/78
203/78 = 2.6026
(11/6) + (10/13) as a decimal is 2.6026

where
2.6026 is the sum of 11/6 and 10/13.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/6 and 10/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/6 plus 10/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/6) + (10/13) using LCM Method:
What is 11/6 plus 10/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/6
Fraction B: 10/13

What to be found?
(11/6) + (10/13) = ?
Find what's the sum of 11/6 and 10/13.

step 2 Compare the denominators of fractions 11/6 and 10/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/6 and 10/13 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 11/6 and 10/13:
The LCM of 6 and 13 is 78.

step 4 Write the fractions 11/6 and 10/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/6 + 10/13
= [(11 x 78)/(6 x 78)] + [(10 x 78)/(13 x 78)]

step 5 Simplify the expression to have common denominator:
= 143/78 + 60/78

step 6 Take the common values out and rewrite the above expression like the below:
= 1/78 x (143/1 + 60/1)
= 1/78 x (143 + 60)

step 7Simplify the above expression further:
= 1/78 x 203
= 203/78
11/6 + 10/13 = 203/78

Hence,
11/6 plus 10/13 as a fraction is 203/78.

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11/6 + 10/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/6
Fraction B: 10/13

What to be found?
(11/6)+(10/13) = ?
Find what's the sum of 11/6 and 10/13.

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 (10 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 13) and rewrite the equation as like the below:
= (11 x 13) + (10 x 6)/(6 x 13)

step 3 Simplify and rewrite the fraction:
= (143 + 60)/78
11/6 + 10/13 = 203/78

Hence,
11/6 plus 10/13 in fraction is 203/78