15/2 + 16/9 as a fraction

Learn how to find what is 15/2 plus 16/9 in fraction form just in a few minutes. We have covered the easiest method to write 15/2 + 16/9 as a fraction and decimal.

Summary: 15/2 plus 16/9 = 167/18
Since both fractions have unequal denominators, 15/2 plus 16/9 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 15/2 and fraction 16/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 9. 18 is the LCM of 2 and 9. Multiplying the LCM 18 with the numerators and denominators of both fractions (15/2 x 18/18) + (16/9 x 18/18), and simplify further in order to have the common denominator. So the equivalent fraction for 15/2 is 135/18 and for 16/9 is 32/18. By simplifying this fraction addition 135/18 + 32/18, it becomes 167/18.

CALCULATION: 15/2 + 16/9 as a fraction
15/2 + 16/9 = (?)
15/2 + 16/9 = [(15 x 9) + (16 x 2)]/(2 x 9)
= (135 + 32)/18
= 167/18
15/2 + 16/9 = 167/18
15/2 plus 16/9 as a fraction is 167/18.

where
15/2 is a improper fraction as an addend,
16/9 is a improper fraction as an addend,
167/18 is the sum of 15/2 and 16/9.

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15/2 plus 16/9 as a decimal
15/2 + 16/9 = 167/18
167/18 = 9.2778
(15/2) + (16/9) as a decimal is 9.2778

where
9.2778 is the sum of 15/2 and 16/9.

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

(15/2) + (16/9) using LCM Method:
What is 15/2 plus 16/9 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/2
Fraction B: 16/9

What to be found?
(15/2) + (16/9) = ?
Find what's the sum of 15/2 and 16/9.

step 2 Compare the denominators of fractions 15/2 and 16/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 15/2 and 16/9 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 15/2 and 16/9:
The LCM of 2 and 9 is 18.

step 4 Write the fractions 15/2 and 16/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15/2 + 16/9
= [(15 x 18)/(2 x 18)] + [(16 x 18)/(9 x 18)]

step 5 Simplify the expression to have common denominator:
= 135/18 + 32/18

step 6 Take the common values out and rewrite the above expression like the below:
= 1/18 x (135/1 + 32/1)
= 1/18 x (135 + 32)

step 7Simplify the above expression further:
= 1/18 x 167
= 167/18
15/2 + 16/9 = 167/18

Hence,
15/2 plus 16/9 as a fraction is 167/18.

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15/2 + 16/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/2
Fraction B: 16/9

What to be found?
(15/2)+(16/9) = ?
Find what's the sum of 15/2 and 16/9.

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

step 3 Simplify and rewrite the fraction:
= (135 + 32)/18
15/2 + 16/9 = 167/18

Hence,
15/2 plus 16/9 in fraction is 167/18