13/4 + 5/19 as a fraction

Learn how to find what is 13/4 plus 5/19 in fraction form just in a few minutes. We have covered the easiest method to write 13/4 + 5/19 as a fraction and decimal.

Summary: 13/4 plus 5/19 = 267/76
Since both fractions have unequal denominators, 13/4 plus 5/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/4 and fraction 5/19 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 (13/4 x 76/76) + (5/19 x 76/76), and simplify further in order to have the common denominator. So the equivalent fraction for 13/4 is 247/76 and for 5/19 is 20/76. By simplifying this fraction addition 247/76 + 20/76, it becomes 267/76.

CALCULATION: 13/4 + 5/19 as a fraction
13/4 + 5/19 = (?)
13/4 + 5/19 = [(13 x 19) + (5 x 4)]/(4 x 19)
= (247 + 20)/76
= 267/76
13/4 + 5/19 = 267/76
13/4 plus 5/19 as a fraction is 267/76.

where
13/4 is a improper fraction as an addend,
5/19 is a proper fraction as an addend,
267/76 is the sum of 13/4 and 5/19.

---

13/4 plus 5/19 as a decimal
13/4 + 5/19 = 267/76
267/76 = 3.5132
(13/4) + (5/19) as a decimal is 3.5132

where
3.5132 is the sum of 13/4 and 5/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/4 and 5/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/4 plus 5/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/4) + (5/19) using LCM Method:
What is 13/4 plus 5/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/4
Fraction B: 5/19

What to be found?
(13/4) + (5/19) = ?
Find what's the sum of 13/4 and 5/19.

step 2 Compare the denominators of fractions 13/4 and 5/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/4 and 5/19 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 13/4 and 5/19:
The LCM of 4 and 19 is 76.

step 4 Write the fractions 13/4 and 5/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/4 + 5/19
= [(13 x 76)/(4 x 76)] + [(5 x 76)/(19 x 76)]

step 5 Simplify the expression to have common denominator:
= 247/76 + 20/76

step 6 Take the common values out and rewrite the above expression like the below:
= 1/76 x (247/1 + 20/1)
= 1/76 x (247 + 20)

step 7Simplify the above expression further:
= 1/76 x 267
= 267/76
13/4 + 5/19 = 267/76

Hence,
13/4 plus 5/19 as a fraction is 267/76.

---

13/4 + 5/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/4
Fraction B: 5/19

What to be found?
(13/4)+(5/19) = ?
Find what's the sum of 13/4 and 5/19.

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 (5 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:
= (13 x 19) + (5 x 4)/(4 x 19)

step 3 Simplify and rewrite the fraction:
= (247 + 20)/76
13/4 + 5/19 = 267/76

Hence,
13/4 plus 5/19 in fraction is 267/76