9/2 + 13/19 as a fraction

Learn how to find what is 9/2 plus 13/19 in fraction form just in a few minutes. We have covered the easiest method to write 9/2 + 13/19 as a fraction and decimal.

Summary: 9/2 plus 13/19 = 197/38
Since both fractions have unequal denominators, 9/2 plus 13/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 9/2 and fraction 13/19 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 19. 38 is the LCM of 2 and 19. Multiplying the LCM 38 with the numerators and denominators of both fractions (9/2 x 38/38) + (13/19 x 38/38), and simplify further in order to have the common denominator. So the equivalent fraction for 9/2 is 171/38 and for 13/19 is 26/38. By simplifying this fraction addition 171/38 + 26/38, it becomes 197/38.

CALCULATION: 9/2 + 13/19 as a fraction
9/2 + 13/19 = (?)
9/2 + 13/19 = [(9 x 19) + (13 x 2)]/(2 x 19)
= (171 + 26)/38
= 197/38
9/2 + 13/19 = 197/38
9/2 plus 13/19 as a fraction is 197/38.

where
9/2 is a improper fraction as an addend,
13/19 is a proper fraction as an addend,
197/38 is the sum of 9/2 and 13/19.

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9/2 plus 13/19 as a decimal
9/2 + 13/19 = 197/38
197/38 = 5.1842
(9/2) + (13/19) as a decimal is 5.1842

where
5.1842 is the sum of 9/2 and 13/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 9/2 and 13/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 9/2 plus 13/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(9/2) + (13/19) using LCM Method:
What is 9/2 plus 13/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/2
Fraction B: 13/19

What to be found?
(9/2) + (13/19) = ?
Find what's the sum of 9/2 and 13/19.

step 2 Compare the denominators of fractions 9/2 and 13/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/2 and 13/19 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 9/2 and 13/19:
The LCM of 2 and 19 is 38.

step 4 Write the fractions 9/2 and 13/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/2 + 13/19
= [(9 x 38)/(2 x 38)] + [(13 x 38)/(19 x 38)]

step 5 Simplify the expression to have common denominator:
= 171/38 + 26/38

step 6 Take the common values out and rewrite the above expression like the below:
= 1/38 x (171/1 + 26/1)
= 1/38 x (171 + 26)

step 7Simplify the above expression further:
= 1/38 x 197
= 197/38
9/2 + 13/19 = 197/38

Hence,
9/2 plus 13/19 as a fraction is 197/38.

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9/2 + 13/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/2
Fraction B: 13/19

What to be found?
(9/2)+(13/19) = ?
Find what's the sum of 9/2 and 13/19.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 19), find the product of numerator of Fraction B and denominator of Fraction A (13 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 19) and rewrite the equation as like the below:
= (9 x 19) + (13 x 2)/(2 x 19)

step 3 Simplify and rewrite the fraction:
= (171 + 26)/38
9/2 + 13/19 = 197/38

Hence,
9/2 plus 13/19 in fraction is 197/38