6/7 + 7/15 as a fraction

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

Summary: 6/7 plus 7/15 = 139/105
Since both fractions have unequal denominators, 6/7 plus 7/15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 6/7 and fraction 7/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 15. 105 is the LCM of 7 and 15. Multiplying the LCM 105 with the numerators and denominators of both fractions (6/7 x 105/105) + (7/15 x 105/105), and simplify further in order to have the common denominator. So the equivalent fraction for 6/7 is 90/105 and for 7/15 is 49/105. By simplifying this fraction addition 90/105 + 49/105, it becomes 139/105.

CALCULATION: 6/7 + 7/15 as a fraction
6/7 + 7/15 = (?)
6/7 + 7/15 = [(6 x 15) + (7 x 7)]/(7 x 15)
= (90 + 49)/105
= 139/105
6/7 + 7/15 = 139/105
6/7 plus 7/15 as a fraction is 139/105.

where
6/7 is a proper fraction as an addend,
7/15 is a proper fraction as an addend,
139/105 is the sum of 6/7 and 7/15.

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6/7 plus 7/15 as a decimal
6/7 + 7/15 = 139/105
139/105 = 1.3238
(6/7) + (7/15) as a decimal is 1.3238

where
1.3238 is the sum of 6/7 and 7/15.

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

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

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

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

step 2 Compare the denominators of fractions 6/7 and 7/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 6/7 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 6/7 and 7/15:
The LCM of 7 and 15 is 105.

step 4 Write the fractions 6/7 and 7/15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 6/7 + 7/15
= [(6 x 105)/(7 x 105)] + [(7 x 105)/(15 x 105)]

step 5 Simplify the expression to have common denominator:
= 90/105 + 49/105

step 6 Take the common values out and rewrite the above expression like the below:
= 1/105 x (90/1 + 49/1)
= 1/105 x (90 + 49)

step 7Simplify the above expression further:
= 1/105 x 139
= 139/105
6/7 + 7/15 = 139/105

Hence,
6/7 plus 7/15 as a fraction is 139/105.

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 15), find the product of numerator of Fraction B and denominator of Fraction A (7 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 15) and rewrite the equation as like the below:
= (6 x 15) + (7 x 7)/(7 x 15)

step 3 Simplify and rewrite the fraction:
= (90 + 49)/105
6/7 + 7/15 = 139/105

Hence,
6/7 plus 7/15 in fraction is 139/105