15/8 + 1/15 as a fraction

Learn how to find what is 15/8 plus 1/15 in fraction form just in a few minutes. We have covered the easiest method to write 15/8 + 1/15 as a fraction and decimal.

Summary: 15/8 plus 1/15 = 233/120
Since both fractions have unequal denominators, 15/8 plus 1/15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 15/8 and fraction 1/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 15. 120 is the LCM of 8 and 15. Multiplying the LCM 120 with the numerators and denominators of both fractions (15/8 x 120/120) + (1/15 x 120/120), and simplify further in order to have the common denominator. So the equivalent fraction for 15/8 is 225/120 and for 1/15 is 8/120. By simplifying this fraction addition 225/120 + 8/120, it becomes 233/120.

CALCULATION: 15/8 + 1/15 as a fraction
15/8 + 1/15 = (?)
15/8 + 1/15 = [(15 x 15) + (1 x 8)]/(8 x 15)
= (225 + 8)/120
= 233/120
15/8 + 1/15 = 233/120
15/8 plus 1/15 as a fraction is 233/120.

where
15/8 is a improper fraction as an addend,
1/15 is a proper fraction as an addend,
233/120 is the sum of 15/8 and 1/15.

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15/8 plus 1/15 as a decimal
15/8 + 1/15 = 233/120
233/120 = 1.9417
(15/8) + (1/15) as a decimal is 1.9417

where
1.9417 is the sum of 15/8 and 1/15.

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

(15/8) + (1/15) using LCM Method:
What is 15/8 plus 1/15 as a fraction?

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

What to be found?
(15/8) + (1/15) = ?
Find what's the sum of 15/8 and 1/15.

step 2 Compare the denominators of fractions 15/8 and 1/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 15/8 and 1/15 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 15/8 and 1/15:
The LCM of 8 and 15 is 120.

step 4 Write the fractions 15/8 and 1/15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15/8 + 1/15
= [(15 x 120)/(8 x 120)] + [(1 x 120)/(15 x 120)]

step 5 Simplify the expression to have common denominator:
= 225/120 + 8/120

step 6 Take the common values out and rewrite the above expression like the below:
= 1/120 x (225/1 + 8/1)
= 1/120 x (225 + 8)

step 7Simplify the above expression further:
= 1/120 x 233
= 233/120
15/8 + 1/15 = 233/120

Hence,
15/8 plus 1/15 as a fraction is 233/120.

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

What to be found?
(15/8)+(1/15) = ?
Find what's the sum of 15/8 and 1/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (15 x 15), find the product of numerator of Fraction B and denominator of Fraction A (1 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 15) and rewrite the equation as like the below:
= (15 x 15) + (1 x 8)/(8 x 15)

step 3 Simplify and rewrite the fraction:
= (225 + 8)/120
15/8 + 1/15 = 233/120

Hence,
15/8 plus 1/15 in fraction is 233/120