15/8 + 9/16 as a fraction

Learn how to find what is 15/8 plus 9/16 in fraction form just in a few minutes. We have covered the easiest method to write 15/8 + 9/16 as a fraction and decimal.

Summary: 15/8 plus 9/16 = 39/16
Since both fractions have unequal denominators, 15/8 plus 9/16 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 15/8 and fraction 9/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 16. 16 is the LCM of 8 and 16. Multiplying the LCM 16 with the numerators and denominators of both fractions (15/8 x 16/16) + (9/16 x 16/16), and simplify further in order to have the common denominator. So the equivalent fraction for 15/8 is 30/16 and for 9/16 is 9/16. By simplifying this fraction addition 30/16 + 9/16, it becomes 39/16.

CALCULATION: 15/8 + 9/16 as a fraction
15/8 + 9/16 = (?)
15/8 + 9/16 = [(15 x 16) + (9 x 8)]/(8 x 16)
= (240 + 72)/128
= 312/128
= (8 x 39)/(8 x 16)
= 39/16
15/8 + 9/16 = 39/16
15/8 plus 9/16 as a fraction is 39/16.

where
15/8 is a improper fraction as an addend,
9/16 is a proper fraction as an addend,
39/16 is the sum of 15/8 and 9/16.

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15/8 plus 9/16 as a decimal
15/8 + 9/16 = 39/16
39/16 = 2.4375
(15/8) + (9/16) as a decimal is 2.4375

where
2.4375 is the sum of 15/8 and 9/16.

The below workout with step by step calculation shows how to find the equivalent fraction between 15/8 and 9/16 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 15/8 plus 9/16 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(15/8) + (9/16) using LCM Method:
What is 15/8 plus 9/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/8
Fraction B: 9/16

What to be found?
(15/8) + (9/16) = ?
Find what's the sum of 15/8 and 9/16.

step 2 Compare the denominators of fractions 15/8 and 9/16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 15/8 and 9/16 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 15/8 and 9/16:
The LCM of 8 and 16 is 16.

step 4 Write the fractions 15/8 and 9/16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15/8 + 9/16
= [(15 x 16)/(8 x 16)] + [(9 x 16)/(16 x 16)]

step 5 Simplify the expression to have common denominator:
= 30/16 + 9/16

step 6 Take the common values out and rewrite the above expression like the below:
= 1/16 x (30/1 + 9/1)
= 1/16 x (30 + 9)

step 7Simplify the above expression further:
= 1/16 x 39
= 39/16
15/8 + 9/16 = 39/16

Hence,
15/8 plus 9/16 as a fraction is 39/16.

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15/8 + 9/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/8
Fraction B: 9/16

What to be found?
(15/8)+(9/16) = ?
Find what's the sum of 15/8 and 9/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (15 x 16), find the product of numerator of Fraction B and denominator of Fraction A (9 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 16) and rewrite the equation as like the below:
= (15 x 16) + (9 x 8)/(8 x 16)

step 3 Simplify and rewrite the fraction:
= (240 + 72)/128
= 312/128
= 39/16
15/8 + 9/16 = 39/16

Hence,
15/8 plus 9/16 in fraction is 39/16