13/7 + 5/11 as a fraction

Learn how to find what is 13/7 plus 5/11 in fraction form just in a few minutes. We have covered the easiest method to write 13/7 + 5/11 as a fraction and decimal.

Summary: 13/7 plus 5/11 = 178/77
Since both fractions have unequal denominators, 13/7 plus 5/11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/7 and fraction 5/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 11. 77 is the LCM of 7 and 11. Multiplying the LCM 77 with the numerators and denominators of both fractions (13/7 x 77/77) + (5/11 x 77/77), and simplify further in order to have the common denominator. So the equivalent fraction for 13/7 is 143/77 and for 5/11 is 35/77. By simplifying this fraction addition 143/77 + 35/77, it becomes 178/77.

CALCULATION: 13/7 + 5/11 as a fraction
13/7 + 5/11 = (?)
13/7 + 5/11 = [(13 x 11) + (5 x 7)]/(7 x 11)
= (143 + 35)/77
= 178/77
13/7 + 5/11 = 178/77
13/7 plus 5/11 as a fraction is 178/77.

where
13/7 is a improper fraction as an addend,
5/11 is a proper fraction as an addend,
178/77 is the sum of 13/7 and 5/11.

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13/7 plus 5/11 as a decimal
13/7 + 5/11 = 178/77
178/77 = 2.3117
(13/7) + (5/11) as a decimal is 2.3117

where
2.3117 is the sum of 13/7 and 5/11.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/7 and 5/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/7 plus 5/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/7) + (5/11) using LCM Method:
What is 13/7 plus 5/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/7
Fraction B: 5/11

What to be found?
(13/7) + (5/11) = ?
Find what's the sum of 13/7 and 5/11.

step 2 Compare the denominators of fractions 13/7 and 5/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/7 and 5/11 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 13/7 and 5/11:
The LCM of 7 and 11 is 77.

step 4 Write the fractions 13/7 and 5/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/7 + 5/11
= [(13 x 77)/(7 x 77)] + [(5 x 77)/(11 x 77)]

step 5 Simplify the expression to have common denominator:
= 143/77 + 35/77

step 6 Take the common values out and rewrite the above expression like the below:
= 1/77 x (143/1 + 35/1)
= 1/77 x (143 + 35)

step 7Simplify the above expression further:
= 1/77 x 178
= 178/77
13/7 + 5/11 = 178/77

Hence,
13/7 plus 5/11 as a fraction is 178/77.

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13/7 + 5/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/7
Fraction B: 5/11

What to be found?
(13/7)+(5/11) = ?
Find what's the sum of 13/7 and 5/11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 11), find the product of numerator of Fraction B and denominator of Fraction A (5 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 11) and rewrite the equation as like the below:
= (13 x 11) + (5 x 7)/(7 x 11)

step 3 Simplify and rewrite the fraction:
= (143 + 35)/77
13/7 + 5/11 = 178/77

Hence,
13/7 plus 5/11 in fraction is 178/77