11/5 + 9/19 as a fraction

Learn how to find what is 11/5 plus 9/19 in fraction form just in a few minutes. We have covered the easiest method to write 11/5 + 9/19 as a fraction and decimal.

Summary: 11/5 plus 9/19 = 254/95
Since both fractions have unequal denominators, 11/5 plus 9/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/5 and fraction 9/19 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 (11/5 x 95/95) + (9/19 x 95/95), and simplify further in order to have the common denominator. So the equivalent fraction for 11/5 is 209/95 and for 9/19 is 45/95. By simplifying this fraction addition 209/95 + 45/95, it becomes 254/95.

CALCULATION: 11/5 + 9/19 as a fraction
11/5 + 9/19 = (?)
11/5 + 9/19 = [(11 x 19) + (9 x 5)]/(5 x 19)
= (209 + 45)/95
= 254/95
11/5 + 9/19 = 254/95
11/5 plus 9/19 as a fraction is 254/95.

where
11/5 is a improper fraction as an addend,
9/19 is a proper fraction as an addend,
254/95 is the sum of 11/5 and 9/19.

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11/5 plus 9/19 as a decimal
11/5 + 9/19 = 254/95
254/95 = 2.6737
(11/5) + (9/19) as a decimal is 2.6737

where
2.6737 is the sum of 11/5 and 9/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/5 and 9/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/5 plus 9/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/5) + (9/19) using LCM Method:
What is 11/5 plus 9/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/5
Fraction B: 9/19

What to be found?
(11/5) + (9/19) = ?
Find what's the sum of 11/5 and 9/19.

step 2 Compare the denominators of fractions 11/5 and 9/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/5 and 9/19 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 11/5 and 9/19:
The LCM of 5 and 19 is 95.

step 4 Write the fractions 11/5 and 9/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/5 + 9/19
= [(11 x 95)/(5 x 95)] + [(9 x 95)/(19 x 95)]

step 5 Simplify the expression to have common denominator:
= 209/95 + 45/95

step 6 Take the common values out and rewrite the above expression like the below:
= 1/95 x (209/1 + 45/1)
= 1/95 x (209 + 45)

step 7Simplify the above expression further:
= 1/95 x 254
= 254/95
11/5 + 9/19 = 254/95

Hence,
11/5 plus 9/19 as a fraction is 254/95.

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11/5 + 9/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/5
Fraction B: 9/19

What to be found?
(11/5)+(9/19) = ?
Find what's the sum of 11/5 and 9/19.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 19), find the product of numerator of Fraction B and denominator of Fraction A (9 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:
= (11 x 19) + (9 x 5)/(5 x 19)

step 3 Simplify and rewrite the fraction:
= (209 + 45)/95
11/5 + 9/19 = 254/95

Hence,
11/5 plus 9/19 in fraction is 254/95