7/9 + 8/11 as a fraction

Learn how to find what is 7/9 plus 8/11 in fraction form just in a few minutes. We have covered the easiest method to write 7/9 + 8/11 as a fraction and decimal.

Summary: 7/9 plus 8/11 = 149/99
Since both fractions have unequal denominators, 7/9 plus 8/11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/9 and fraction 8/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 11. 99 is the LCM of 9 and 11. Multiplying the LCM 99 with the numerators and denominators of both fractions (7/9 x 99/99) + (8/11 x 99/99), and simplify further in order to have the common denominator. So the equivalent fraction for 7/9 is 77/99 and for 8/11 is 72/99. By simplifying this fraction addition 77/99 + 72/99, it becomes 149/99.

CALCULATION: 7/9 + 8/11 as a fraction
7/9 + 8/11 = (?)
7/9 + 8/11 = [(7 x 11) + (8 x 9)]/(9 x 11)
= (77 + 72)/99
= 149/99
7/9 + 8/11 = 149/99
7/9 plus 8/11 as a fraction is 149/99.

where
7/9 is a proper fraction as an addend,
8/11 is a proper fraction as an addend,
149/99 is the sum of 7/9 and 8/11.

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7/9 plus 8/11 as a decimal
7/9 + 8/11 = 149/99
149/99 = 1.5051
(7/9) + (8/11) as a decimal is 1.5051

where
1.5051 is the sum of 7/9 and 8/11.

The below workout with step by step calculation shows how to find the equivalent fraction between 7/9 and 8/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/9 plus 8/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(7/9) + (8/11) using LCM Method:
What is 7/9 plus 8/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/9
Fraction B: 8/11

What to be found?
(7/9) + (8/11) = ?
Find what's the sum of 7/9 and 8/11.

step 2 Compare the denominators of fractions 7/9 and 8/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/9 and 8/11 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 7/9 and 8/11:
The LCM of 9 and 11 is 99.

step 4 Write the fractions 7/9 and 8/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/9 + 8/11
= [(7 x 99)/(9 x 99)] + [(8 x 99)/(11 x 99)]

step 5 Simplify the expression to have common denominator:
= 77/99 + 72/99

step 6 Take the common values out and rewrite the above expression like the below:
= 1/99 x (77/1 + 72/1)
= 1/99 x (77 + 72)

step 7Simplify the above expression further:
= 1/99 x 149
= 149/99
7/9 + 8/11 = 149/99

Hence,
7/9 plus 8/11 as a fraction is 149/99.

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7/9 + 8/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/9
Fraction B: 8/11

What to be found?
(7/9)+(8/11) = ?
Find what's the sum of 7/9 and 8/11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 11), find the product of numerator of Fraction B and denominator of Fraction A (8 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 11) and rewrite the equation as like the below:
= (7 x 11) + (8 x 9)/(9 x 11)

step 3 Simplify and rewrite the fraction:
= (77 + 72)/99
7/9 + 8/11 = 149/99

Hence,
7/9 plus 8/11 in fraction is 149/99