13/2 + 16/15 as a fraction

Learn how to find what is 13/2 plus 16/15 in fraction form just in a few minutes. We have covered the easiest method to write 13/2 + 16/15 as a fraction and decimal.

Summary: 13/2 plus 16/15 = 227/30
Since both fractions have unequal denominators, 13/2 plus 16/15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/2 and fraction 16/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 15. 30 is the LCM of 2 and 15. Multiplying the LCM 30 with the numerators and denominators of both fractions (13/2 x 30/30) + (16/15 x 30/30), and simplify further in order to have the common denominator. So the equivalent fraction for 13/2 is 195/30 and for 16/15 is 32/30. By simplifying this fraction addition 195/30 + 32/30, it becomes 227/30.

CALCULATION: 13/2 + 16/15 as a fraction
13/2 + 16/15 = (?)
13/2 + 16/15 = [(13 x 15) + (16 x 2)]/(2 x 15)
= (195 + 32)/30
= 227/30
13/2 + 16/15 = 227/30
13/2 plus 16/15 as a fraction is 227/30.

where
13/2 is a improper fraction as an addend,
16/15 is a improper fraction as an addend,
227/30 is the sum of 13/2 and 16/15.

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13/2 plus 16/15 as a decimal
13/2 + 16/15 = 227/30
227/30 = 7.5667
(13/2) + (16/15) as a decimal is 7.5667

where
7.5667 is the sum of 13/2 and 16/15.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/2 and 16/15 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/2 plus 16/15 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/2) + (16/15) using LCM Method:
What is 13/2 plus 16/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/2
Fraction B: 16/15

What to be found?
(13/2) + (16/15) = ?
Find what's the sum of 13/2 and 16/15.

step 2 Compare the denominators of fractions 13/2 and 16/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/2 and 16/15 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 13/2 and 16/15:
The LCM of 2 and 15 is 30.

step 4 Write the fractions 13/2 and 16/15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/2 + 16/15
= [(13 x 30)/(2 x 30)] + [(16 x 30)/(15 x 30)]

step 5 Simplify the expression to have common denominator:
= 195/30 + 32/30

step 6 Take the common values out and rewrite the above expression like the below:
= 1/30 x (195/1 + 32/1)
= 1/30 x (195 + 32)

step 7Simplify the above expression further:
= 1/30 x 227
= 227/30
13/2 + 16/15 = 227/30

Hence,
13/2 plus 16/15 as a fraction is 227/30.

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13/2 + 16/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/2
Fraction B: 16/15

What to be found?
(13/2)+(16/15) = ?
Find what's the sum of 13/2 and 16/15.

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 (16 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 15) and rewrite the equation as like the below:
= (13 x 15) + (16 x 2)/(2 x 15)

step 3 Simplify and rewrite the fraction:
= (195 + 32)/30
13/2 + 16/15 = 227/30

Hence,
13/2 plus 16/15 in fraction is 227/30