8/9 + 6/7 as a fraction

Learn how to find what is 8/9 plus 6/7 in fraction form just in a few minutes. We have covered the easiest method to write 8/9 + 6/7 as a fraction and decimal.

Summary: 8/9 plus 6/7 = 110/63
Since both fractions have unequal denominators, 8/9 plus 6/7 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 8/9 and fraction 6/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 7. 63 is the LCM of 9 and 7. Multiplying the LCM 63 with the numerators and denominators of both fractions (8/9 x 63/63) + (6/7 x 63/63), and simplify further in order to have the common denominator. So the equivalent fraction for 8/9 is 56/63 and for 6/7 is 54/63. By simplifying this fraction addition 56/63 + 54/63, it becomes 110/63.

CALCULATION: 8/9 + 6/7 as a fraction
8/9 + 6/7 = (?)
8/9 + 6/7 = [(8 x 7) + (6 x 9)]/(9 x 7)
= (56 + 54)/63
= 110/63
8/9 + 6/7 = 110/63
8/9 plus 6/7 as a fraction is 110/63.

where
8/9 is a proper fraction as an addend,
6/7 is a proper fraction as an addend,
110/63 is the sum of 8/9 and 6/7.

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8/9 plus 6/7 as a decimal
8/9 + 6/7 = 110/63
110/63 = 1.746
(8/9) + (6/7) as a decimal is 1.746

where
1.746 is the sum of 8/9 and 6/7.

The below workout with step by step calculation shows how to find the equivalent fraction between 8/9 and 6/7 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 8/9 plus 6/7 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(8/9) + (6/7) using LCM Method:
What is 8/9 plus 6/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/9
Fraction B: 6/7

What to be found?
(8/9) + (6/7) = ?
Find what's the sum of 8/9 and 6/7.

step 2 Compare the denominators of fractions 8/9 and 6/7 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 8/9 and 6/7 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 8/9 and 6/7:
The LCM of 9 and 7 is 63.

step 4 Write the fractions 8/9 and 6/7 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8/9 + 6/7
= [(8 x 63)/(9 x 63)] + [(6 x 63)/(7 x 63)]

step 5 Simplify the expression to have common denominator:
= 56/63 + 54/63

step 6 Take the common values out and rewrite the above expression like the below:
= 1/63 x (56/1 + 54/1)
= 1/63 x (56 + 54)

step 7Simplify the above expression further:
= 1/63 x 110
= 110/63
8/9 + 6/7 = 110/63

Hence,
8/9 plus 6/7 as a fraction is 110/63.

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8/9 + 6/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/9
Fraction B: 6/7

What to be found?
(8/9)+(6/7) = ?
Find what's the sum of 8/9 and 6/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 7), find the product of numerator of Fraction B and denominator of Fraction A (6 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 7) and rewrite the equation as like the below:
= (8 x 7) + (6 x 9)/(9 x 7)

step 3 Simplify and rewrite the fraction:
= (56 + 54)/63
8/9 + 6/7 = 110/63

Hence,
8/9 plus 6/7 in fraction is 110/63