13/9 + 17/15 as a fraction

Learn how to find what is 13/9 plus 17/15 in fraction form just in a few minutes. We have covered the easiest method to write 13/9 + 17/15 as a fraction and decimal.

Summary: 13/9 plus 17/15 = 116/45
Since both fractions have unequal denominators, 13/9 plus 17/15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/9 and fraction 17/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 15. 45 is the LCM of 9 and 15. Multiplying the LCM 45 with the numerators and denominators of both fractions (13/9 x 45/45) + (17/15 x 45/45), and simplify further in order to have the common denominator. So the equivalent fraction for 13/9 is 65/45 and for 17/15 is 51/45. By simplifying this fraction addition 65/45 + 51/45, it becomes 116/45.

CALCULATION: 13/9 + 17/15 as a fraction
13/9 + 17/15 = (?)
13/9 + 17/15 = [(13 x 15) + (17 x 9)]/(9 x 15)
= (195 + 153)/135
= 348/135
= (3 x 116)/(3 x 45)
= 116/45
13/9 + 17/15 = 116/45
13/9 plus 17/15 as a fraction is 116/45.

where
13/9 is a improper fraction as an addend,
17/15 is a improper fraction as an addend,
116/45 is the sum of 13/9 and 17/15.

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13/9 plus 17/15 as a decimal
13/9 + 17/15 = 116/45
116/45 = 2.5778
(13/9) + (17/15) as a decimal is 2.5778

where
2.5778 is the sum of 13/9 and 17/15.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/9 and 17/15 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/9 plus 17/15 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/9) + (17/15) using LCM Method:
What is 13/9 plus 17/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/9
Fraction B: 17/15

What to be found?
(13/9) + (17/15) = ?
Find what's the sum of 13/9 and 17/15.

step 2 Compare the denominators of fractions 13/9 and 17/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/9 and 17/15 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 13/9 and 17/15:
The LCM of 9 and 15 is 45.

step 4 Write the fractions 13/9 and 17/15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/9 + 17/15
= [(13 x 45)/(9 x 45)] + [(17 x 45)/(15 x 45)]

step 5 Simplify the expression to have common denominator:
= 65/45 + 51/45

step 6 Take the common values out and rewrite the above expression like the below:
= 1/45 x (65/1 + 51/1)
= 1/45 x (65 + 51)

step 7Simplify the above expression further:
= 1/45 x 116
= 116/45
13/9 + 17/15 = 116/45

Hence,
13/9 plus 17/15 as a fraction is 116/45.

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13/9 + 17/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/9
Fraction B: 17/15

What to be found?
(13/9)+(17/15) = ?
Find what's the sum of 13/9 and 17/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 15), find the product of numerator of Fraction B and denominator of Fraction A (17 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 15) and rewrite the equation as like the below:
= (13 x 15) + (17 x 9)/(9 x 15)

step 3 Simplify and rewrite the fraction:
= (195 + 153)/135
= 348/135
= 116/45
13/9 + 17/15 = 116/45

Hence,
13/9 plus 17/15 in fraction is 116/45