7/5 + 9/13 as a fraction

Learn how to find what is 7/5 plus 9/13 in fraction form just in a few minutes. We have covered the easiest method to write 7/5 + 9/13 as a fraction and decimal.

Summary: 7/5 plus 9/13 = 136/65
Since both fractions have unequal denominators, 7/5 plus 9/13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/5 and fraction 9/13 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 (7/5 x 65/65) + (9/13 x 65/65), and simplify further in order to have the common denominator. So the equivalent fraction for 7/5 is 91/65 and for 9/13 is 45/65. By simplifying this fraction addition 91/65 + 45/65, it becomes 136/65.

CALCULATION: 7/5 + 9/13 as a fraction
7/5 + 9/13 = (?)
7/5 + 9/13 = [(7 x 13) + (9 x 5)]/(5 x 13)
= (91 + 45)/65
= 136/65
7/5 + 9/13 = 136/65
7/5 plus 9/13 as a fraction is 136/65.

where
7/5 is a improper fraction as an addend,
9/13 is a proper fraction as an addend,
136/65 is the sum of 7/5 and 9/13.

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7/5 plus 9/13 as a decimal
7/5 + 9/13 = 136/65
136/65 = 2.0923
(7/5) + (9/13) as a decimal is 2.0923

where
2.0923 is the sum of 7/5 and 9/13.

The below workout with step by step calculation shows how to find the equivalent fraction between 7/5 and 9/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/5 plus 9/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(7/5) + (9/13) using LCM Method:
What is 7/5 plus 9/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/5
Fraction B: 9/13

What to be found?
(7/5) + (9/13) = ?
Find what's the sum of 7/5 and 9/13.

step 2 Compare the denominators of fractions 7/5 and 9/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/5 and 9/13 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 7/5 and 9/13:
The LCM of 5 and 13 is 65.

step 4 Write the fractions 7/5 and 9/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/5 + 9/13
= [(7 x 65)/(5 x 65)] + [(9 x 65)/(13 x 65)]

step 5 Simplify the expression to have common denominator:
= 91/65 + 45/65

step 6 Take the common values out and rewrite the above expression like the below:
= 1/65 x (91/1 + 45/1)
= 1/65 x (91 + 45)

step 7Simplify the above expression further:
= 1/65 x 136
= 136/65
7/5 + 9/13 = 136/65

Hence,
7/5 plus 9/13 as a fraction is 136/65.

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7/5 + 9/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/5
Fraction B: 9/13

What to be found?
(7/5)+(9/13) = ?
Find what's the sum of 7/5 and 9/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 13), find the product of numerator of Fraction B and denominator of Fraction A (9 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:
= (7 x 13) + (9 x 5)/(5 x 13)

step 3 Simplify and rewrite the fraction:
= (91 + 45)/65
7/5 + 9/13 = 136/65

Hence,
7/5 plus 9/13 in fraction is 136/65