13/5 + 11/19 as a fraction

Learn how to find what is 13/5 plus 11/19 in fraction form just in a few minutes. We have covered the easiest method to write 13/5 + 11/19 as a fraction and decimal.

Summary: 13/5 plus 11/19 = 302/95
Since both fractions have unequal denominators, 13/5 plus 11/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/5 and fraction 11/19 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 19. 95 is the LCM of 5 and 19. Multiplying the LCM 95 with the numerators and denominators of both fractions (13/5 x 95/95) + (11/19 x 95/95), and simplify further in order to have the common denominator. So the equivalent fraction for 13/5 is 247/95 and for 11/19 is 55/95. By simplifying this fraction addition 247/95 + 55/95, it becomes 302/95.

CALCULATION: 13/5 + 11/19 as a fraction
13/5 + 11/19 = (?)
13/5 + 11/19 = [(13 x 19) + (11 x 5)]/(5 x 19)
= (247 + 55)/95
= 302/95
13/5 + 11/19 = 302/95
13/5 plus 11/19 as a fraction is 302/95.

where
13/5 is a improper fraction as an addend,
11/19 is a proper fraction as an addend,
302/95 is the sum of 13/5 and 11/19.

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13/5 plus 11/19 as a decimal
13/5 + 11/19 = 302/95
302/95 = 3.1789
(13/5) + (11/19) as a decimal is 3.1789

where
3.1789 is the sum of 13/5 and 11/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/5 and 11/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/5 plus 11/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/5) + (11/19) using LCM Method:
What is 13/5 plus 11/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/5
Fraction B: 11/19

What to be found?
(13/5) + (11/19) = ?
Find what's the sum of 13/5 and 11/19.

step 2 Compare the denominators of fractions 13/5 and 11/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/5 and 11/19 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 13/5 and 11/19:
The LCM of 5 and 19 is 95.

step 4 Write the fractions 13/5 and 11/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/5 + 11/19
= [(13 x 95)/(5 x 95)] + [(11 x 95)/(19 x 95)]

step 5 Simplify the expression to have common denominator:
= 247/95 + 55/95

step 6 Take the common values out and rewrite the above expression like the below:
= 1/95 x (247/1 + 55/1)
= 1/95 x (247 + 55)

step 7Simplify the above expression further:
= 1/95 x 302
= 302/95
13/5 + 11/19 = 302/95

Hence,
13/5 plus 11/19 as a fraction is 302/95.

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13/5 + 11/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/5
Fraction B: 11/19

What to be found?
(13/5)+(11/19) = ?
Find what's the sum of 13/5 and 11/19.

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 (11 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 19) and rewrite the equation as like the below:
= (13 x 19) + (11 x 5)/(5 x 19)

step 3 Simplify and rewrite the fraction:
= (247 + 55)/95
13/5 + 11/19 = 302/95

Hence,
13/5 plus 11/19 in fraction is 302/95