14/9 + 1/13 as a fraction

Learn how to find what is 14/9 plus 1/13 in fraction form just in a few minutes. We have covered the easiest method to write 14/9 + 1/13 as a fraction and decimal.

Summary: 14/9 plus 1/13 = 191/117
Since both fractions have unequal denominators, 14/9 plus 1/13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 14/9 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 (14/9 x 117/117) + (1/13 x 117/117), and simplify further in order to have the common denominator. So the equivalent fraction for 14/9 is 182/117 and for 1/13 is 9/117. By simplifying this fraction addition 182/117 + 9/117, it becomes 191/117.

CALCULATION: 14/9 + 1/13 as a fraction
14/9 + 1/13 = (?)
14/9 + 1/13 = [(14 x 13) + (1 x 9)]/(9 x 13)
= (182 + 9)/117
= 191/117
14/9 + 1/13 = 191/117
14/9 plus 1/13 as a fraction is 191/117.

where
14/9 is a improper fraction as an addend,
1/13 is a proper fraction as an addend,
191/117 is the sum of 14/9 and 1/13.

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14/9 plus 1/13 as a decimal
14/9 + 1/13 = 191/117
191/117 = 1.6325
(14/9) + (1/13) as a decimal is 1.6325

where
1.6325 is the sum of 14/9 and 1/13.

The below workout with step by step calculation shows how to find the equivalent fraction between 14/9 and 1/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 14/9 plus 1/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(14/9) + (1/13) using LCM Method:
What is 14/9 plus 1/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/9
Fraction B: 1/13

What to be found?
(14/9) + (1/13) = ?
Find what's the sum of 14/9 and 1/13.

step 2 Compare the denominators of fractions 14/9 and 1/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 14/9 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 14/9 and 1/13:
The LCM of 9 and 13 is 117.

step 4 Write the fractions 14/9 and 1/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 14/9 + 1/13
= [(14 x 117)/(9 x 117)] + [(1 x 117)/(13 x 117)]

step 5 Simplify the expression to have common denominator:
= 182/117 + 9/117

step 6 Take the common values out and rewrite the above expression like the below:
= 1/117 x (182/1 + 9/1)
= 1/117 x (182 + 9)

step 7Simplify the above expression further:
= 1/117 x 191
= 191/117
14/9 + 1/13 = 191/117

Hence,
14/9 plus 1/13 as a fraction is 191/117.

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14/9 + 1/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/9
Fraction B: 1/13

What to be found?
(14/9)+(1/13) = ?
Find what's the sum of 14/9 and 1/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (14 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:
= (14 x 13) + (1 x 9)/(9 x 13)

step 3 Simplify and rewrite the fraction:
= (182 + 9)/117
14/9 + 1/13 = 191/117

Hence,
14/9 plus 1/13 in fraction is 191/117