6/7 + 7/11 as a fraction

Learn how to find what is 6/7 plus 7/11 in fraction form just in a few minutes. We have covered the easiest method to write 6/7 + 7/11 as a fraction and decimal.

Summary: 6/7 plus 7/11 = 115/77
Since both fractions have unequal denominators, 6/7 plus 7/11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 6/7 and fraction 7/11 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 (6/7 x 77/77) + (7/11 x 77/77), and simplify further in order to have the common denominator. So the equivalent fraction for 6/7 is 66/77 and for 7/11 is 49/77. By simplifying this fraction addition 66/77 + 49/77, it becomes 115/77.

CALCULATION: 6/7 + 7/11 as a fraction
6/7 + 7/11 = (?)
6/7 + 7/11 = [(6 x 11) + (7 x 7)]/(7 x 11)
= (66 + 49)/77
= 115/77
6/7 + 7/11 = 115/77
6/7 plus 7/11 as a fraction is 115/77.

where
6/7 is a proper fraction as an addend,
7/11 is a proper fraction as an addend,
115/77 is the sum of 6/7 and 7/11.

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6/7 plus 7/11 as a decimal
6/7 + 7/11 = 115/77
115/77 = 1.4935
(6/7) + (7/11) as a decimal is 1.4935

where
1.4935 is the sum of 6/7 and 7/11.

The below workout with step by step calculation shows how to find the equivalent fraction between 6/7 and 7/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 6/7 plus 7/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(6/7) + (7/11) using LCM Method:
What is 6/7 plus 7/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/7
Fraction B: 7/11

What to be found?
(6/7) + (7/11) = ?
Find what's the sum of 6/7 and 7/11.

step 2 Compare the denominators of fractions 6/7 and 7/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 6/7 and 7/11 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 6/7 and 7/11:
The LCM of 7 and 11 is 77.

step 4 Write the fractions 6/7 and 7/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 6/7 + 7/11
= [(6 x 77)/(7 x 77)] + [(7 x 77)/(11 x 77)]

step 5 Simplify the expression to have common denominator:
= 66/77 + 49/77

step 6 Take the common values out and rewrite the above expression like the below:
= 1/77 x (66/1 + 49/1)
= 1/77 x (66 + 49)

step 7Simplify the above expression further:
= 1/77 x 115
= 115/77
6/7 + 7/11 = 115/77

Hence,
6/7 plus 7/11 as a fraction is 115/77.

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6/7 + 7/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/7
Fraction B: 7/11

What to be found?
(6/7)+(7/11) = ?
Find what's the sum of 6/7 and 7/11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 11), find the product of numerator of Fraction B and denominator of Fraction A (7 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:
= (6 x 11) + (7 x 7)/(7 x 11)

step 3 Simplify and rewrite the fraction:
= (66 + 49)/77
6/7 + 7/11 = 115/77

Hence,
6/7 plus 7/11 in fraction is 115/77