11/8 + 16/15 as a fraction

Learn how to find what is 11/8 plus 16/15 in fraction form just in a few minutes. We have covered the easiest method to write 11/8 + 16/15 as a fraction and decimal.

Summary: 11/8 plus 16/15 = 293/120
Since both fractions have unequal denominators, 11/8 plus 16/15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/8 and fraction 16/15 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 (11/8 x 120/120) + (16/15 x 120/120), and simplify further in order to have the common denominator. So the equivalent fraction for 11/8 is 165/120 and for 16/15 is 128/120. By simplifying this fraction addition 165/120 + 128/120, it becomes 293/120.

CALCULATION: 11/8 + 16/15 as a fraction
11/8 + 16/15 = (?)
11/8 + 16/15 = [(11 x 15) + (16 x 8)]/(8 x 15)
= (165 + 128)/120
= 293/120
11/8 + 16/15 = 293/120
11/8 plus 16/15 as a fraction is 293/120.

where
11/8 is a improper fraction as an addend,
16/15 is a improper fraction as an addend,
293/120 is the sum of 11/8 and 16/15.

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11/8 plus 16/15 as a decimal
11/8 + 16/15 = 293/120
293/120 = 2.4417
(11/8) + (16/15) as a decimal is 2.4417

where
2.4417 is the sum of 11/8 and 16/15.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/8 and 16/15 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/8 plus 16/15 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/8) + (16/15) using LCM Method:
What is 11/8 plus 16/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/8
Fraction B: 16/15

What to be found?
(11/8) + (16/15) = ?
Find what's the sum of 11/8 and 16/15.

step 2 Compare the denominators of fractions 11/8 and 16/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/8 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 11/8 and 16/15:
The LCM of 8 and 15 is 120.

step 4 Write the fractions 11/8 and 16/15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/8 + 16/15
= [(11 x 120)/(8 x 120)] + [(16 x 120)/(15 x 120)]

step 5 Simplify the expression to have common denominator:
= 165/120 + 128/120

step 6 Take the common values out and rewrite the above expression like the below:
= 1/120 x (165/1 + 128/1)
= 1/120 x (165 + 128)

step 7Simplify the above expression further:
= 1/120 x 293
= 293/120
11/8 + 16/15 = 293/120

Hence,
11/8 plus 16/15 as a fraction is 293/120.

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11/8 + 16/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/8
Fraction B: 16/15

What to be found?
(11/8)+(16/15) = ?
Find what's the sum of 11/8 and 16/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 15), find the product of numerator of Fraction B and denominator of Fraction A (16 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:
= (11 x 15) + (16 x 8)/(8 x 15)

step 3 Simplify and rewrite the fraction:
= (165 + 128)/120
11/8 + 16/15 = 293/120

Hence,
11/8 plus 16/15 in fraction is 293/120