18/13 + 16/15 as a fraction

Learn how to find what is 18/13 plus 16/15 in fraction form just in a few minutes. We have covered the easiest method to write 18/13 + 16/15 as a fraction and decimal.

Summary: 18/13 plus 16/15 = 478/195
Since both fractions have unequal denominators, 18/13 plus 16/15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 18/13 and fraction 16/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 13 and 15. 195 is the LCM of 13 and 15. Multiplying the LCM 195 with the numerators and denominators of both fractions (18/13 x 195/195) + (16/15 x 195/195), and simplify further in order to have the common denominator. So the equivalent fraction for 18/13 is 270/195 and for 16/15 is 208/195. By simplifying this fraction addition 270/195 + 208/195, it becomes 478/195.

CALCULATION: 18/13 + 16/15 as a fraction
18/13 + 16/15 = (?)
18/13 + 16/15 = [(18 x 15) + (16 x 13)]/(13 x 15)
= (270 + 208)/195
= 478/195
18/13 + 16/15 = 478/195
18/13 plus 16/15 as a fraction is 478/195.

where
18/13 is a improper fraction as an addend,
16/15 is a improper fraction as an addend,
478/195 is the sum of 18/13 and 16/15.

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18/13 plus 16/15 as a decimal
18/13 + 16/15 = 478/195
478/195 = 2.4513
(18/13) + (16/15) as a decimal is 2.4513

where
2.4513 is the sum of 18/13 and 16/15.

The below workout with step by step calculation shows how to find the equivalent fraction between 18/13 and 16/15 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 18/13 plus 16/15 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(18/13) + (16/15) using LCM Method:
What is 18/13 plus 16/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/13
Fraction B: 16/15

What to be found?
(18/13) + (16/15) = ?
Find what's the sum of 18/13 and 16/15.

step 2 Compare the denominators of fractions 18/13 and 16/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 18/13 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 18/13 and 16/15:
The LCM of 13 and 15 is 195.

step 4 Write the fractions 18/13 and 16/15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 18/13 + 16/15
= [(18 x 195)/(13 x 195)] + [(16 x 195)/(15 x 195)]

step 5 Simplify the expression to have common denominator:
= 270/195 + 208/195

step 6 Take the common values out and rewrite the above expression like the below:
= 1/195 x (270/1 + 208/1)
= 1/195 x (270 + 208)

step 7Simplify the above expression further:
= 1/195 x 478
= 478/195
18/13 + 16/15 = 478/195

Hence,
18/13 plus 16/15 as a fraction is 478/195.

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18/13 + 16/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/13
Fraction B: 16/15

What to be found?
(18/13)+(16/15) = ?
Find what's the sum of 18/13 and 16/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (18 x 15), find the product of numerator of Fraction B and denominator of Fraction A (16 x 13), and find the product of both denominators of Fraction A and Fraction B (13 x 15) and rewrite the equation as like the below:
= (18 x 15) + (16 x 13)/(13 x 15)

step 3 Simplify and rewrite the fraction:
= (270 + 208)/195
18/13 + 16/15 = 478/195

Hence,
18/13 plus 16/15 in fraction is 478/195