13/2 + 14/9 as a fraction

Learn how to find what is 13/2 plus 14/9 in fraction form just in a few minutes. We have covered the easiest method to write 13/2 + 14/9 as a fraction and decimal.

Summary: 13/2 plus 14/9 = 145/18
Since both fractions have unequal denominators, 13/2 plus 14/9 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/2 and fraction 14/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 9. 18 is the LCM of 2 and 9. Multiplying the LCM 18 with the numerators and denominators of both fractions (13/2 x 18/18) + (14/9 x 18/18), and simplify further in order to have the common denominator. So the equivalent fraction for 13/2 is 117/18 and for 14/9 is 28/18. By simplifying this fraction addition 117/18 + 28/18, it becomes 145/18.

CALCULATION: 13/2 + 14/9 as a fraction
13/2 + 14/9 = (?)
13/2 + 14/9 = [(13 x 9) + (14 x 2)]/(2 x 9)
= (117 + 28)/18
= 145/18
13/2 + 14/9 = 145/18
13/2 plus 14/9 as a fraction is 145/18.

where
13/2 is a improper fraction as an addend,
14/9 is a improper fraction as an addend,
145/18 is the sum of 13/2 and 14/9.

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13/2 plus 14/9 as a decimal
13/2 + 14/9 = 145/18
145/18 = 8.0556
(13/2) + (14/9) as a decimal is 8.0556

where
8.0556 is the sum of 13/2 and 14/9.

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

(13/2) + (14/9) using LCM Method:
What is 13/2 plus 14/9 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/2
Fraction B: 14/9

What to be found?
(13/2) + (14/9) = ?
Find what's the sum of 13/2 and 14/9.

step 2 Compare the denominators of fractions 13/2 and 14/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/2 and 14/9 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 13/2 and 14/9:
The LCM of 2 and 9 is 18.

step 4 Write the fractions 13/2 and 14/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/2 + 14/9
= [(13 x 18)/(2 x 18)] + [(14 x 18)/(9 x 18)]

step 5 Simplify the expression to have common denominator:
= 117/18 + 28/18

step 6 Take the common values out and rewrite the above expression like the below:
= 1/18 x (117/1 + 28/1)
= 1/18 x (117 + 28)

step 7Simplify the above expression further:
= 1/18 x 145
= 145/18
13/2 + 14/9 = 145/18

Hence,
13/2 plus 14/9 as a fraction is 145/18.

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13/2 + 14/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/2
Fraction B: 14/9

What to be found?
(13/2)+(14/9) = ?
Find what's the sum of 13/2 and 14/9.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 9), find the product of numerator of Fraction B and denominator of Fraction A (14 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 9) and rewrite the equation as like the below:
= (13 x 9) + (14 x 2)/(2 x 9)

step 3 Simplify and rewrite the fraction:
= (117 + 28)/18
13/2 + 14/9 = 145/18

Hence,
13/2 plus 14/9 in fraction is 145/18