2/9 + 1/13 as a fraction

Learn how to find what is 2/9 plus 1/13 in fraction form just in a few minutes. We have covered the easiest method to write 2/9 + 1/13 as a fraction and decimal.

Summary: 2/9 plus 1/13 = 35/117
Since both fractions have unequal denominators, 2/9 plus 1/13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/9 and fraction 1/13 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 (2/9 x 117/117) + (1/13 x 117/117), and simplify further in order to have the common denominator. So the equivalent fraction for 2/9 is 26/117 and for 1/13 is 9/117. By simplifying this fraction addition 26/117 + 9/117, it becomes 35/117.

Pie Chart Representation: 2/9 + 1/13 = 35/117

CALCULATION: 2/9 + 1/13 as a fraction
2/9 + 1/13 = (?)
2/9 + 1/13 = [(2 x 13) + (1 x 9)]/(9 x 13)
= (26 + 9)/117
= 35/117
2/9 + 1/13 = 35/117
2/9 plus 1/13 as a fraction is 35/117.

where
2/9 is a proper fraction as an addend,
1/13 is a proper fraction as an addend,
35/117 is the sum of 2/9 and 1/13.

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2/9 plus 1/13 as a decimal
2/9 + 1/13 = 35/117
35/117 = 0.2991
(2/9) + (1/13) as a decimal is 0.2991

where
0.2991 is the sum of 2/9 and 1/13.

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

(2/9) + (1/13) using LCM Method:
What is 2/9 plus 1/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/13

What to be found?
(2/9) + (1/13) = ?
Find what's the sum of 2/9 and 1/13.

step 2 Compare the denominators of fractions 2/9 and 1/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/9 and 1/13 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 2/9 and 1/13:
The LCM of 9 and 13 is 117.

step 4 Write the fractions 2/9 and 1/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/9 + 1/13
= [(2 x 117)/(9 x 117)] + [(1 x 117)/(13 x 117)]

step 5 Simplify the expression to have common denominator:
= 26/117 + 9/117

step 6 Take the common values out and rewrite the above expression like the below:
= 1/117 x (26/1 + 9/1)
= 1/117 x (26 + 9)

step 7Simplify the above expression further:
= 1/117 x 35
= 35/117
2/9 + 1/13 = 35/117

Hence,
2/9 plus 1/13 as a fraction is 35/117.

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2/9 + 1/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/13

What to be found?
(2/9)+(1/13) = ?
Find what's the sum of 2/9 and 1/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 13), find the product of numerator of Fraction B and denominator of Fraction A (1 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:
= (2 x 13) + (1 x 9)/(9 x 13)

step 3 Simplify and rewrite the fraction:
= (26 + 9)/117
2/9 + 1/13 = 35/117

Hence,
2/9 plus 1/13 in fraction is 35/117