5/6 + 7/15 as a fraction

Learn how to find what is 5/6 plus 7/15 in fraction form just in a few minutes. We have covered the easiest method to write 5/6 + 7/15 as a fraction and decimal.

Summary: 5/6 plus 7/15 = 13/10
Since both fractions have unequal denominators, 5/6 plus 7/15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/6 and fraction 7/15 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 (5/6 x 30/30) + (7/15 x 30/30), and simplify further in order to have the common denominator. So the equivalent fraction for 5/6 is 25/30 and for 7/15 is 14/30. By simplifying this fraction addition 25/30 + 14/30, it becomes 39/30.

CALCULATION: 5/6 + 7/15 as a fraction
5/6 + 7/15 = (?)
5/6 + 7/15 = [(5 x 15) + (7 x 6)]/(6 x 15)
= (75 + 42)/90
= 117/90
= (9 x 13)/(9 x 10)
= 13/10
5/6 + 7/15 = 13/10
5/6 plus 7/15 as a fraction is 13/10.

where
5/6 is a proper fraction as an addend,
7/15 is a proper fraction as an addend,
13/10 is the sum of 5/6 and 7/15.

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5/6 plus 7/15 as a decimal
5/6 + 7/15 = 13/10
13/10 = 1.3
(5/6) + (7/15) as a decimal is 1.3

where
1.3 is the sum of 5/6 and 7/15.

The below workout with step by step calculation shows how to find the equivalent fraction between 5/6 and 7/15 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/6 plus 7/15 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(5/6) + (7/15) using LCM Method:
What is 5/6 plus 7/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 7/15

What to be found?
(5/6) + (7/15) = ?
Find what's the sum of 5/6 and 7/15.

step 2 Compare the denominators of fractions 5/6 and 7/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/6 and 7/15 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 5/6 and 7/15:
The LCM of 6 and 15 is 30.

step 4 Write the fractions 5/6 and 7/15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/6 + 7/15
= [(5 x 30)/(6 x 30)] + [(7 x 30)/(15 x 30)]

step 5 Simplify the expression to have common denominator:
= 25/30 + 14/30

step 6 Take the common values out and rewrite the above expression like the below:
= 1/30 x (25/1 + 14/1)
= 1/30 x (25 + 14)

step 7Simplify the above expression further:
= 1/30 x 39
= 39/30
= 13/10
5/6 + 7/15 = 13/10

Hence,
5/6 plus 7/15 as a fraction is 13/10.

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5/6 + 7/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 7/15

What to be found?
(5/6)+(7/15) = ?
Find what's the sum of 5/6 and 7/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 15), find the product of numerator of Fraction B and denominator of Fraction A (7 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:
= (5 x 15) + (7 x 6)/(6 x 15)

step 3 Simplify and rewrite the fraction:
= (75 + 42)/90
= 117/90
= 13/10
5/6 + 7/15 = 13/10

Hence,
5/6 plus 7/15 in fraction is 13/10