18/13 + 7/9 as a fraction

Learn how to find what is 18/13 plus 7/9 in fraction form just in a few minutes. We have covered the easiest method to write 18/13 + 7/9 as a fraction and decimal.

Summary: 18/13 plus 7/9 = 253/117
Since both fractions have unequal denominators, 18/13 plus 7/9 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 18/13 and fraction 7/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 13 and 9. 117 is the LCM of 13 and 9. Multiplying the LCM 117 with the numerators and denominators of both fractions (18/13 x 117/117) + (7/9 x 117/117), and simplify further in order to have the common denominator. So the equivalent fraction for 18/13 is 162/117 and for 7/9 is 91/117. By simplifying this fraction addition 162/117 + 91/117, it becomes 253/117.

CALCULATION: 18/13 + 7/9 as a fraction
18/13 + 7/9 = (?)
18/13 + 7/9 = [(18 x 9) + (7 x 13)]/(13 x 9)
= (162 + 91)/117
= 253/117
18/13 + 7/9 = 253/117
18/13 plus 7/9 as a fraction is 253/117.

where
18/13 is a improper fraction as an addend,
7/9 is a proper fraction as an addend,
253/117 is the sum of 18/13 and 7/9.

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18/13 plus 7/9 as a decimal
18/13 + 7/9 = 253/117
253/117 = 2.1624
(18/13) + (7/9) as a decimal is 2.1624

where
2.1624 is the sum of 18/13 and 7/9.

The below workout with step by step calculation shows how to find the equivalent fraction between 18/13 and 7/9 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 18/13 plus 7/9 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(18/13) + (7/9) using LCM Method:
What is 18/13 plus 7/9 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/13
Fraction B: 7/9

What to be found?
(18/13) + (7/9) = ?
Find what's the sum of 18/13 and 7/9.

step 2 Compare the denominators of fractions 18/13 and 7/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 18/13 and 7/9 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 18/13 and 7/9:
The LCM of 13 and 9 is 117.

step 4 Write the fractions 18/13 and 7/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 18/13 + 7/9
= [(18 x 117)/(13 x 117)] + [(7 x 117)/(9 x 117)]

step 5 Simplify the expression to have common denominator:
= 162/117 + 91/117

step 6 Take the common values out and rewrite the above expression like the below:
= 1/117 x (162/1 + 91/1)
= 1/117 x (162 + 91)

step 7Simplify the above expression further:
= 1/117 x 253
= 253/117
18/13 + 7/9 = 253/117

Hence,
18/13 plus 7/9 as a fraction is 253/117.

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18/13 + 7/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/13
Fraction B: 7/9

What to be found?
(18/13)+(7/9) = ?
Find what's the sum of 18/13 and 7/9.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (18 x 9), find the product of numerator of Fraction B and denominator of Fraction A (7 x 13), and find the product of both denominators of Fraction A and Fraction B (13 x 9) and rewrite the equation as like the below:
= (18 x 9) + (7 x 13)/(13 x 9)

step 3 Simplify and rewrite the fraction:
= (162 + 91)/117
18/13 + 7/9 = 253/117

Hence,
18/13 plus 7/9 in fraction is 253/117