5/8 + 4/9 as a fraction

Learn how to find what is 5/8 plus 4/9 in fraction form just in a few minutes. We have covered the easiest method to write 5/8 + 4/9 as a fraction and decimal.

Summary: 5/8 plus 4/9 = 77/72
Since both fractions have unequal denominators, 5/8 plus 4/9 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/8 and fraction 4/9 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 (5/8 x 72/72) + (4/9 x 72/72), and simplify further in order to have the common denominator. So the equivalent fraction for 5/8 is 45/72 and for 4/9 is 32/72. By simplifying this fraction addition 45/72 + 32/72, it becomes 77/72.

CALCULATION: 5/8 + 4/9 as a fraction
5/8 + 4/9 = (?)
5/8 + 4/9 = [(5 x 9) + (4 x 8)]/(8 x 9)
= (45 + 32)/72
= 77/72
5/8 + 4/9 = 77/72
5/8 plus 4/9 as a fraction is 77/72.

where
5/8 is a proper fraction as an addend,
4/9 is a proper fraction as an addend,
77/72 is the sum of 5/8 and 4/9.

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5/8 plus 4/9 as a decimal
5/8 + 4/9 = 77/72
77/72 = 1.0694
(5/8) + (4/9) as a decimal is 1.0694

where
1.0694 is the sum of 5/8 and 4/9.

The below workout with step by step calculation shows how to find the equivalent fraction between 5/8 and 4/9 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/8 plus 4/9 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(5/8) + (4/9) using LCM Method:
What is 5/8 plus 4/9 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/8
Fraction B: 4/9

What to be found?
(5/8) + (4/9) = ?
Find what's the sum of 5/8 and 4/9.

step 2 Compare the denominators of fractions 5/8 and 4/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/8 and 4/9 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 5/8 and 4/9:
The LCM of 8 and 9 is 72.

step 4 Write the fractions 5/8 and 4/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/8 + 4/9
= [(5 x 72)/(8 x 72)] + [(4 x 72)/(9 x 72)]

step 5 Simplify the expression to have common denominator:
= 45/72 + 32/72

step 6 Take the common values out and rewrite the above expression like the below:
= 1/72 x (45/1 + 32/1)
= 1/72 x (45 + 32)

step 7Simplify the above expression further:
= 1/72 x 77
= 77/72
5/8 + 4/9 = 77/72

Hence,
5/8 plus 4/9 as a fraction is 77/72.

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5/8 + 4/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/8
Fraction B: 4/9

What to be found?
(5/8)+(4/9) = ?
Find what's the sum of 5/8 and 4/9.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 9), find the product of numerator of Fraction B and denominator of Fraction A (4 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:
= (5 x 9) + (4 x 8)/(8 x 9)

step 3 Simplify and rewrite the fraction:
= (45 + 32)/72
5/8 + 4/9 = 77/72

Hence,
5/8 plus 4/9 in fraction is 77/72