7/8 + 2/9 as a fraction

Learn how to find what is 7/8 plus 2/9 in fraction form just in a few minutes. We have covered the easiest method to write 7/8 + 2/9 as a fraction and decimal.

Summary: 7/8 plus 2/9 = 79/72
Since both fractions have unequal denominators, 7/8 plus 2/9 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/8 and fraction 2/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 9. 72 is the LCM of 8 and 9. Multiplying the LCM 72 with the numerators and denominators of both fractions (7/8 x 72/72) + (2/9 x 72/72), and simplify further in order to have the common denominator. So the equivalent fraction for 7/8 is 63/72 and for 2/9 is 16/72. By simplifying this fraction addition 63/72 + 16/72, it becomes 79/72.

CALCULATION: 7/8 + 2/9 as a fraction
7/8 + 2/9 = (?)
7/8 + 2/9 = [(7 x 9) + (2 x 8)]/(8 x 9)
= (63 + 16)/72
= 79/72
7/8 + 2/9 = 79/72
7/8 plus 2/9 as a fraction is 79/72.

where
7/8 is a proper fraction as an addend,
2/9 is a proper fraction as an addend,
79/72 is the sum of 7/8 and 2/9.

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7/8 plus 2/9 as a decimal
7/8 + 2/9 = 79/72
79/72 = 1.0972
(7/8) + (2/9) as a decimal is 1.0972

where
1.0972 is the sum of 7/8 and 2/9.

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

(7/8) + (2/9) using LCM Method:
What is 7/8 plus 2/9 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/8
Fraction B: 2/9

What to be found?
(7/8) + (2/9) = ?
Find what's the sum of 7/8 and 2/9.

step 2 Compare the denominators of fractions 7/8 and 2/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/8 and 2/9 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 7/8 and 2/9:
The LCM of 8 and 9 is 72.

step 4 Write the fractions 7/8 and 2/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/8 + 2/9
= [(7 x 72)/(8 x 72)] + [(2 x 72)/(9 x 72)]

step 5 Simplify the expression to have common denominator:
= 63/72 + 16/72

step 6 Take the common values out and rewrite the above expression like the below:
= 1/72 x (63/1 + 16/1)
= 1/72 x (63 + 16)

step 7Simplify the above expression further:
= 1/72 x 79
= 79/72
7/8 + 2/9 = 79/72

Hence,
7/8 plus 2/9 as a fraction is 79/72.

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7/8 + 2/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/8
Fraction B: 2/9

What to be found?
(7/8)+(2/9) = ?
Find what's the sum of 7/8 and 2/9.

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

step 3 Simplify and rewrite the fraction:
= (63 + 16)/72
7/8 + 2/9 = 79/72

Hence,
7/8 plus 2/9 in fraction is 79/72