11/4 + 4/19 as a fraction

Learn how to find what is 11/4 plus 4/19 in fraction form just in a few minutes. We have covered the easiest method to write 11/4 + 4/19 as a fraction and decimal.

Summary: 11/4 plus 4/19 = 225/76
Since both fractions have unequal denominators, 11/4 plus 4/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/4 and fraction 4/19 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 19. 76 is the LCM of 4 and 19. Multiplying the LCM 76 with the numerators and denominators of both fractions (11/4 x 76/76) + (4/19 x 76/76), and simplify further in order to have the common denominator. So the equivalent fraction for 11/4 is 209/76 and for 4/19 is 16/76. By simplifying this fraction addition 209/76 + 16/76, it becomes 225/76.

CALCULATION: 11/4 + 4/19 as a fraction
11/4 + 4/19 = (?)
11/4 + 4/19 = [(11 x 19) + (4 x 4)]/(4 x 19)
= (209 + 16)/76
= 225/76
11/4 + 4/19 = 225/76
11/4 plus 4/19 as a fraction is 225/76.

where
11/4 is a improper fraction as an addend,
4/19 is a proper fraction as an addend,
225/76 is the sum of 11/4 and 4/19.

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11/4 plus 4/19 as a decimal
11/4 + 4/19 = 225/76
225/76 = 2.9605
(11/4) + (4/19) as a decimal is 2.9605

where
2.9605 is the sum of 11/4 and 4/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/4 and 4/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/4 plus 4/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/4) + (4/19) using LCM Method:
What is 11/4 plus 4/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/4
Fraction B: 4/19

What to be found?
(11/4) + (4/19) = ?
Find what's the sum of 11/4 and 4/19.

step 2 Compare the denominators of fractions 11/4 and 4/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/4 and 4/19 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 11/4 and 4/19:
The LCM of 4 and 19 is 76.

step 4 Write the fractions 11/4 and 4/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/4 + 4/19
= [(11 x 76)/(4 x 76)] + [(4 x 76)/(19 x 76)]

step 5 Simplify the expression to have common denominator:
= 209/76 + 16/76

step 6 Take the common values out and rewrite the above expression like the below:
= 1/76 x (209/1 + 16/1)
= 1/76 x (209 + 16)

step 7Simplify the above expression further:
= 1/76 x 225
= 225/76
11/4 + 4/19 = 225/76

Hence,
11/4 plus 4/19 as a fraction is 225/76.

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11/4 + 4/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/4
Fraction B: 4/19

What to be found?
(11/4)+(4/19) = ?
Find what's the sum of 11/4 and 4/19.

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 (4 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 19) and rewrite the equation as like the below:
= (11 x 19) + (4 x 4)/(4 x 19)

step 3 Simplify and rewrite the fraction:
= (209 + 16)/76
11/4 + 4/19 = 225/76

Hence,
11/4 plus 4/19 in fraction is 225/76