6/5 + 7/13 as a fraction

Learn how to find what is 6/5 plus 7/13 in fraction form just in a few minutes. We have covered the easiest method to write 6/5 + 7/13 as a fraction and decimal.

Summary: 6/5 plus 7/13 = 113/65
Since both fractions have unequal denominators, 6/5 plus 7/13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 6/5 and fraction 7/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 13. 65 is the LCM of 5 and 13. Multiplying the LCM 65 with the numerators and denominators of both fractions (6/5 x 65/65) + (7/13 x 65/65), and simplify further in order to have the common denominator. So the equivalent fraction for 6/5 is 78/65 and for 7/13 is 35/65. By simplifying this fraction addition 78/65 + 35/65, it becomes 113/65.

CALCULATION: 6/5 + 7/13 as a fraction
6/5 + 7/13 = (?)
6/5 + 7/13 = [(6 x 13) + (7 x 5)]/(5 x 13)
= (78 + 35)/65
= 113/65
6/5 + 7/13 = 113/65
6/5 plus 7/13 as a fraction is 113/65.

where
6/5 is a improper fraction as an addend,
7/13 is a proper fraction as an addend,
113/65 is the sum of 6/5 and 7/13.

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6/5 plus 7/13 as a decimal
6/5 + 7/13 = 113/65
113/65 = 1.7385
(6/5) + (7/13) as a decimal is 1.7385

where
1.7385 is the sum of 6/5 and 7/13.

The below workout with step by step calculation shows how to find the equivalent fraction between 6/5 and 7/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 6/5 plus 7/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(6/5) + (7/13) using LCM Method:
What is 6/5 plus 7/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/5
Fraction B: 7/13

What to be found?
(6/5) + (7/13) = ?
Find what's the sum of 6/5 and 7/13.

step 2 Compare the denominators of fractions 6/5 and 7/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 6/5 and 7/13 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 6/5 and 7/13:
The LCM of 5 and 13 is 65.

step 4 Write the fractions 6/5 and 7/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 6/5 + 7/13
= [(6 x 65)/(5 x 65)] + [(7 x 65)/(13 x 65)]

step 5 Simplify the expression to have common denominator:
= 78/65 + 35/65

step 6 Take the common values out and rewrite the above expression like the below:
= 1/65 x (78/1 + 35/1)
= 1/65 x (78 + 35)

step 7Simplify the above expression further:
= 1/65 x 113
= 113/65
6/5 + 7/13 = 113/65

Hence,
6/5 plus 7/13 as a fraction is 113/65.

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6/5 + 7/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/5
Fraction B: 7/13

What to be found?
(6/5)+(7/13) = ?
Find what's the sum of 6/5 and 7/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 13), find the product of numerator of Fraction B and denominator of Fraction A (7 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 13) and rewrite the equation as like the below:
= (6 x 13) + (7 x 5)/(5 x 13)

step 3 Simplify and rewrite the fraction:
= (78 + 35)/65
6/5 + 7/13 = 113/65

Hence,
6/5 plus 7/13 in fraction is 113/65