8/5 + 11/15 as a fraction

Learn how to find what is 8/5 plus 11/15 in fraction form just in a few minutes. We have covered the easiest method to write 8/5 + 11/15 as a fraction and decimal.

Summary: 8/5 plus 11/15 = 7/3
Since both fractions have unequal denominators, 8/5 plus 11/15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 8/5 and fraction 11/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 15. 15 is the LCM of 5 and 15. Multiplying the LCM 15 with the numerators and denominators of both fractions (8/5 x 15/15) + (11/15 x 15/15), and simplify further in order to have the common denominator. So the equivalent fraction for 8/5 is 24/15 and for 11/15 is 11/15. By simplifying this fraction addition 24/15 + 11/15, it becomes 35/15.

CALCULATION: 8/5 + 11/15 as a fraction
8/5 + 11/15 = (?)
8/5 + 11/15 = [(8 x 15) + (11 x 5)]/(5 x 15)
= (120 + 55)/75
= 175/75
= (25 x 7)/(25 x 3)
= 7/3
8/5 + 11/15 = 7/3
8/5 plus 11/15 as a fraction is 7/3.

where
8/5 is a improper fraction as an addend,
11/15 is a proper fraction as an addend,
7/3 is the sum of 8/5 and 11/15.

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8/5 plus 11/15 as a decimal
8/5 + 11/15 = 7/3
7/3 = 2.3333
(8/5) + (11/15) as a decimal is 2.3333

where
2.3333 is the sum of 8/5 and 11/15.

The below workout with step by step calculation shows how to find the equivalent fraction between 8/5 and 11/15 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 8/5 plus 11/15 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(8/5) + (11/15) using LCM Method:
What is 8/5 plus 11/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/5
Fraction B: 11/15

What to be found?
(8/5) + (11/15) = ?
Find what's the sum of 8/5 and 11/15.

step 2 Compare the denominators of fractions 8/5 and 11/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 8/5 and 11/15 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 8/5 and 11/15:
The LCM of 5 and 15 is 15.

step 4 Write the fractions 8/5 and 11/15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8/5 + 11/15
= [(8 x 15)/(5 x 15)] + [(11 x 15)/(15 x 15)]

step 5 Simplify the expression to have common denominator:
= 24/15 + 11/15

step 6 Take the common values out and rewrite the above expression like the below:
= 1/15 x (24/1 + 11/1)
= 1/15 x (24 + 11)

step 7Simplify the above expression further:
= 1/15 x 35
= 35/15
= 7/3
8/5 + 11/15 = 7/3

Hence,
8/5 plus 11/15 as a fraction is 7/3.

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8/5 + 11/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/5
Fraction B: 11/15

What to be found?
(8/5)+(11/15) = ?
Find what's the sum of 8/5 and 11/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 15), find the product of numerator of Fraction B and denominator of Fraction A (11 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 15) and rewrite the equation as like the below:
= (8 x 15) + (11 x 5)/(5 x 15)

step 3 Simplify and rewrite the fraction:
= (120 + 55)/75
= 175/75
= 7/3
8/5 + 11/15 = 7/3

Hence,
8/5 plus 11/15 in fraction is 7/3