13/2 + 3/19 as a fraction

Learn how to find what is 13/2 plus 3/19 in fraction form just in a few minutes. We have covered the easiest method to write 13/2 + 3/19 as a fraction and decimal.

Summary: 13/2 plus 3/19 = 253/38
Since both fractions have unequal denominators, 13/2 plus 3/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/2 and fraction 3/19 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 (13/2 x 38/38) + (3/19 x 38/38), and simplify further in order to have the common denominator. So the equivalent fraction for 13/2 is 247/38 and for 3/19 is 6/38. By simplifying this fraction addition 247/38 + 6/38, it becomes 253/38.

CALCULATION: 13/2 + 3/19 as a fraction
13/2 + 3/19 = (?)
13/2 + 3/19 = [(13 x 19) + (3 x 2)]/(2 x 19)
= (247 + 6)/38
= 253/38
13/2 + 3/19 = 253/38
13/2 plus 3/19 as a fraction is 253/38.

where
13/2 is a improper fraction as an addend,
3/19 is a proper fraction as an addend,
253/38 is the sum of 13/2 and 3/19.

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13/2 plus 3/19 as a decimal
13/2 + 3/19 = 253/38
253/38 = 6.6579
(13/2) + (3/19) as a decimal is 6.6579

where
6.6579 is the sum of 13/2 and 3/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/2 and 3/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/2 plus 3/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/2) + (3/19) using LCM Method:
What is 13/2 plus 3/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/2
Fraction B: 3/19

What to be found?
(13/2) + (3/19) = ?
Find what's the sum of 13/2 and 3/19.

step 2 Compare the denominators of fractions 13/2 and 3/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/2 and 3/19 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 13/2 and 3/19:
The LCM of 2 and 19 is 38.

step 4 Write the fractions 13/2 and 3/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/2 + 3/19
= [(13 x 38)/(2 x 38)] + [(3 x 38)/(19 x 38)]

step 5 Simplify the expression to have common denominator:
= 247/38 + 6/38

step 6 Take the common values out and rewrite the above expression like the below:
= 1/38 x (247/1 + 6/1)
= 1/38 x (247 + 6)

step 7Simplify the above expression further:
= 1/38 x 253
= 253/38
13/2 + 3/19 = 253/38

Hence,
13/2 plus 3/19 as a fraction is 253/38.

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13/2 + 3/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/2
Fraction B: 3/19

What to be found?
(13/2)+(3/19) = ?
Find what's the sum of 13/2 and 3/19.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 19), find the product of numerator of Fraction B and denominator of Fraction A (3 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:
= (13 x 19) + (3 x 2)/(2 x 19)

step 3 Simplify and rewrite the fraction:
= (247 + 6)/38
13/2 + 3/19 = 253/38

Hence,
13/2 plus 3/19 in fraction is 253/38