11/7 + 16/13 as a fraction

Learn how to find what is 11/7 plus 16/13 in fraction form just in a few minutes. We have covered the easiest method to write 11/7 + 16/13 as a fraction and decimal.

Summary: 11/7 plus 16/13 = 255/91
Since both fractions have unequal denominators, 11/7 plus 16/13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/7 and fraction 16/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 13. 91 is the LCM of 7 and 13. Multiplying the LCM 91 with the numerators and denominators of both fractions (11/7 x 91/91) + (16/13 x 91/91), and simplify further in order to have the common denominator. So the equivalent fraction for 11/7 is 143/91 and for 16/13 is 112/91. By simplifying this fraction addition 143/91 + 112/91, it becomes 255/91.

CALCULATION: 11/7 + 16/13 as a fraction
11/7 + 16/13 = (?)
11/7 + 16/13 = [(11 x 13) + (16 x 7)]/(7 x 13)
= (143 + 112)/91
= 255/91
11/7 + 16/13 = 255/91
11/7 plus 16/13 as a fraction is 255/91.

where
11/7 is a improper fraction as an addend,
16/13 is a improper fraction as an addend,
255/91 is the sum of 11/7 and 16/13.

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11/7 plus 16/13 as a decimal
11/7 + 16/13 = 255/91
255/91 = 2.8022
(11/7) + (16/13) as a decimal is 2.8022

where
2.8022 is the sum of 11/7 and 16/13.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/7 and 16/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/7 plus 16/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/7) + (16/13) using LCM Method:
What is 11/7 plus 16/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/7
Fraction B: 16/13

What to be found?
(11/7) + (16/13) = ?
Find what's the sum of 11/7 and 16/13.

step 2 Compare the denominators of fractions 11/7 and 16/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/7 and 16/13 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 11/7 and 16/13:
The LCM of 7 and 13 is 91.

step 4 Write the fractions 11/7 and 16/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/7 + 16/13
= [(11 x 91)/(7 x 91)] + [(16 x 91)/(13 x 91)]

step 5 Simplify the expression to have common denominator:
= 143/91 + 112/91

step 6 Take the common values out and rewrite the above expression like the below:
= 1/91 x (143/1 + 112/1)
= 1/91 x (143 + 112)

step 7Simplify the above expression further:
= 1/91 x 255
= 255/91
11/7 + 16/13 = 255/91

Hence,
11/7 plus 16/13 as a fraction is 255/91.

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11/7 + 16/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/7
Fraction B: 16/13

What to be found?
(11/7)+(16/13) = ?
Find what's the sum of 11/7 and 16/13.

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 (16 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 13) and rewrite the equation as like the below:
= (11 x 13) + (16 x 7)/(7 x 13)

step 3 Simplify and rewrite the fraction:
= (143 + 112)/91
11/7 + 16/13 = 255/91

Hence,
11/7 plus 16/13 in fraction is 255/91