11/6 + 11/15 as a fraction

Learn how to find what is 11/6 plus 11/15 in fraction form just in a few minutes. We have covered the easiest method to write 11/6 + 11/15 as a fraction and decimal.

Summary: 11/6 plus 11/15 = 77/30
Since both fractions have unequal denominators, 11/6 plus 11/15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/6 and fraction 11/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 15. 30 is the LCM of 6 and 15. Multiplying the LCM 30 with the numerators and denominators of both fractions (11/6 x 30/30) + (11/15 x 30/30), and simplify further in order to have the common denominator. So the equivalent fraction for 11/6 is 55/30 and for 11/15 is 22/30. By simplifying this fraction addition 55/30 + 22/30, it becomes 77/30.

CALCULATION: 11/6 + 11/15 as a fraction
11/6 + 11/15 = (?)
11/6 + 11/15 = [(11 x 15) + (11 x 6)]/(6 x 15)
= (165 + 66)/90
= 231/90
= (3 x 77)/(3 x 30)
= 77/30
11/6 + 11/15 = 77/30
11/6 plus 11/15 as a fraction is 77/30.

where
11/6 is a improper fraction as an addend,
11/15 is a proper fraction as an addend,
77/30 is the sum of 11/6 and 11/15.

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11/6 plus 11/15 as a decimal
11/6 + 11/15 = 77/30
77/30 = 2.5667
(11/6) + (11/15) as a decimal is 2.5667

where
2.5667 is the sum of 11/6 and 11/15.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/6 and 11/15 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/6 plus 11/15 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/6) + (11/15) using LCM Method:
What is 11/6 plus 11/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/6
Fraction B: 11/15

What to be found?
(11/6) + (11/15) = ?
Find what's the sum of 11/6 and 11/15.

step 2 Compare the denominators of fractions 11/6 and 11/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/6 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 11/6 and 11/15:
The LCM of 6 and 15 is 30.

step 4 Write the fractions 11/6 and 11/15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/6 + 11/15
= [(11 x 30)/(6 x 30)] + [(11 x 30)/(15 x 30)]

step 5 Simplify the expression to have common denominator:
= 55/30 + 22/30

step 6 Take the common values out and rewrite the above expression like the below:
= 1/30 x (55/1 + 22/1)
= 1/30 x (55 + 22)

step 7Simplify the above expression further:
= 1/30 x 77
= 77/30
11/6 + 11/15 = 77/30

Hence,
11/6 plus 11/15 as a fraction is 77/30.

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11/6 + 11/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/6
Fraction B: 11/15

What to be found?
(11/6)+(11/15) = ?
Find what's the sum of 11/6 and 11/15.

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 (11 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 15) and rewrite the equation as like the below:
= (11 x 15) + (11 x 6)/(6 x 15)

step 3 Simplify and rewrite the fraction:
= (165 + 66)/90
= 231/90
= 77/30
11/6 + 11/15 = 77/30

Hence,
11/6 plus 11/15 in fraction is 77/30