15/8 + 16/11 as a fraction

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

Summary: 15/8 plus 16/11 = 293/88
Since both fractions have unequal denominators, 15/8 plus 16/11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 15/8 and fraction 16/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 11. 88 is the LCM of 8 and 11. Multiplying the LCM 88 with the numerators and denominators of both fractions (15/8 x 88/88) + (16/11 x 88/88), and simplify further in order to have the common denominator. So the equivalent fraction for 15/8 is 165/88 and for 16/11 is 128/88. By simplifying this fraction addition 165/88 + 128/88, it becomes 293/88.

CALCULATION: 15/8 + 16/11 as a fraction
15/8 + 16/11 = (?)
15/8 + 16/11 = [(15 x 11) + (16 x 8)]/(8 x 11)
= (165 + 128)/88
= 293/88
15/8 + 16/11 = 293/88
15/8 plus 16/11 as a fraction is 293/88.

where
15/8 is a improper fraction as an addend,
16/11 is a improper fraction as an addend,
293/88 is the sum of 15/8 and 16/11.

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15/8 plus 16/11 as a decimal
15/8 + 16/11 = 293/88
293/88 = 3.3295
(15/8) + (16/11) as a decimal is 3.3295

where
3.3295 is the sum of 15/8 and 16/11.

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

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

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

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

step 2 Compare the denominators of fractions 15/8 and 16/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 15/8 and 16/11 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 16/11:
The LCM of 8 and 11 is 88.

step 4 Write the fractions 15/8 and 16/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15/8 + 16/11
= [(15 x 88)/(8 x 88)] + [(16 x 88)/(11 x 88)]

step 5 Simplify the expression to have common denominator:
= 165/88 + 128/88

step 6 Take the common values out and rewrite the above expression like the below:
= 1/88 x (165/1 + 128/1)
= 1/88 x (165 + 128)

step 7Simplify the above expression further:
= 1/88 x 293
= 293/88
15/8 + 16/11 = 293/88

Hence,
15/8 plus 16/11 as a fraction is 293/88.

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

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

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

step 3 Simplify and rewrite the fraction:
= (165 + 128)/88
15/8 + 16/11 = 293/88

Hence,
15/8 plus 16/11 in fraction is 293/88