7/9 + 10/13 as a fraction

Learn how to find what is 7/9 plus 10/13 in fraction form just in a few minutes. We have covered the easiest method to write 7/9 + 10/13 as a fraction and decimal.

Summary: 7/9 plus 10/13 = 181/117
Since both fractions have unequal denominators, 7/9 plus 10/13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/9 and fraction 10/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 13. 117 is the LCM of 9 and 13. Multiplying the LCM 117 with the numerators and denominators of both fractions (7/9 x 117/117) + (10/13 x 117/117), and simplify further in order to have the common denominator. So the equivalent fraction for 7/9 is 91/117 and for 10/13 is 90/117. By simplifying this fraction addition 91/117 + 90/117, it becomes 181/117.

CALCULATION: 7/9 + 10/13 as a fraction
7/9 + 10/13 = (?)
7/9 + 10/13 = [(7 x 13) + (10 x 9)]/(9 x 13)
= (91 + 90)/117
= 181/117
7/9 + 10/13 = 181/117
7/9 plus 10/13 as a fraction is 181/117.

where
7/9 is a proper fraction as an addend,
10/13 is a proper fraction as an addend,
181/117 is the sum of 7/9 and 10/13.

---

7/9 plus 10/13 as a decimal
7/9 + 10/13 = 181/117
181/117 = 1.547
(7/9) + (10/13) as a decimal is 1.547

where
1.547 is the sum of 7/9 and 10/13.

The below workout with step by step calculation shows how to find the equivalent fraction between 7/9 and 10/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/9 plus 10/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(7/9) + (10/13) using LCM Method:
What is 7/9 plus 10/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/9
Fraction B: 10/13

What to be found?
(7/9) + (10/13) = ?
Find what's the sum of 7/9 and 10/13.

step 2 Compare the denominators of fractions 7/9 and 10/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/9 and 10/13 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 7/9 and 10/13:
The LCM of 9 and 13 is 117.

step 4 Write the fractions 7/9 and 10/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/9 + 10/13
= [(7 x 117)/(9 x 117)] + [(10 x 117)/(13 x 117)]

step 5 Simplify the expression to have common denominator:
= 91/117 + 90/117

step 6 Take the common values out and rewrite the above expression like the below:
= 1/117 x (91/1 + 90/1)
= 1/117 x (91 + 90)

step 7Simplify the above expression further:
= 1/117 x 181
= 181/117
7/9 + 10/13 = 181/117

Hence,
7/9 plus 10/13 as a fraction is 181/117.

---

7/9 + 10/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/9
Fraction B: 10/13

What to be found?
(7/9)+(10/13) = ?
Find what's the sum of 7/9 and 10/13.

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 (10 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 13) and rewrite the equation as like the below:
= (7 x 13) + (10 x 9)/(9 x 13)

step 3 Simplify and rewrite the fraction:
= (91 + 90)/117
7/9 + 10/13 = 181/117

Hence,
7/9 plus 10/13 in fraction is 181/117