9/8 + 8/15 as a fraction

Learn how to find what is 9/8 plus 8/15 in fraction form just in a few minutes. We have covered the easiest method to write 9/8 + 8/15 as a fraction and decimal.

Summary: 9/8 plus 8/15 = 199/120
Since both fractions have unequal denominators, 9/8 plus 8/15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 9/8 and fraction 8/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 15. 120 is the LCM of 8 and 15. Multiplying the LCM 120 with the numerators and denominators of both fractions (9/8 x 120/120) + (8/15 x 120/120), and simplify further in order to have the common denominator. So the equivalent fraction for 9/8 is 135/120 and for 8/15 is 64/120. By simplifying this fraction addition 135/120 + 64/120, it becomes 199/120.

CALCULATION: 9/8 + 8/15 as a fraction
9/8 + 8/15 = (?)
9/8 + 8/15 = [(9 x 15) + (8 x 8)]/(8 x 15)
= (135 + 64)/120
= 199/120
9/8 + 8/15 = 199/120
9/8 plus 8/15 as a fraction is 199/120.

where
9/8 is a improper fraction as an addend,
8/15 is a proper fraction as an addend,
199/120 is the sum of 9/8 and 8/15.

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9/8 plus 8/15 as a decimal
9/8 + 8/15 = 199/120
199/120 = 1.6583
(9/8) + (8/15) as a decimal is 1.6583

where
1.6583 is the sum of 9/8 and 8/15.

The below workout with step by step calculation shows how to find the equivalent fraction between 9/8 and 8/15 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 9/8 plus 8/15 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(9/8) + (8/15) using LCM Method:
What is 9/8 plus 8/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/8
Fraction B: 8/15

What to be found?
(9/8) + (8/15) = ?
Find what's the sum of 9/8 and 8/15.

step 2 Compare the denominators of fractions 9/8 and 8/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/8 and 8/15 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 9/8 and 8/15:
The LCM of 8 and 15 is 120.

step 4 Write the fractions 9/8 and 8/15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/8 + 8/15
= [(9 x 120)/(8 x 120)] + [(8 x 120)/(15 x 120)]

step 5 Simplify the expression to have common denominator:
= 135/120 + 64/120

step 6 Take the common values out and rewrite the above expression like the below:
= 1/120 x (135/1 + 64/1)
= 1/120 x (135 + 64)

step 7Simplify the above expression further:
= 1/120 x 199
= 199/120
9/8 + 8/15 = 199/120

Hence,
9/8 plus 8/15 as a fraction is 199/120.

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9/8 + 8/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/8
Fraction B: 8/15

What to be found?
(9/8)+(8/15) = ?
Find what's the sum of 9/8 and 8/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 15), find the product of numerator of Fraction B and denominator of Fraction A (8 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 15) and rewrite the equation as like the below:
= (9 x 15) + (8 x 8)/(8 x 15)

step 3 Simplify and rewrite the fraction:
= (135 + 64)/120
9/8 + 8/15 = 199/120

Hence,
9/8 plus 8/15 in fraction is 199/120