15/4 + 6/19 as a fraction

Learn how to find what is 15/4 plus 6/19 in fraction form just in a few minutes. We have covered the easiest method to write 15/4 + 6/19 as a fraction and decimal.

Summary: 15/4 plus 6/19 = 309/76
Since both fractions have unequal denominators, 15/4 plus 6/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 15/4 and fraction 6/19 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 (15/4 x 76/76) + (6/19 x 76/76), and simplify further in order to have the common denominator. So the equivalent fraction for 15/4 is 285/76 and for 6/19 is 24/76. By simplifying this fraction addition 285/76 + 24/76, it becomes 309/76.

CALCULATION: 15/4 + 6/19 as a fraction
15/4 + 6/19 = (?)
15/4 + 6/19 = [(15 x 19) + (6 x 4)]/(4 x 19)
= (285 + 24)/76
= 309/76
15/4 + 6/19 = 309/76
15/4 plus 6/19 as a fraction is 309/76.

where
15/4 is a improper fraction as an addend,
6/19 is a proper fraction as an addend,
309/76 is the sum of 15/4 and 6/19.

---

15/4 plus 6/19 as a decimal
15/4 + 6/19 = 309/76
309/76 = 4.0658
(15/4) + (6/19) as a decimal is 4.0658

where
4.0658 is the sum of 15/4 and 6/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 15/4 and 6/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 15/4 plus 6/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(15/4) + (6/19) using LCM Method:
What is 15/4 plus 6/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/4
Fraction B: 6/19

What to be found?
(15/4) + (6/19) = ?
Find what's the sum of 15/4 and 6/19.

step 2 Compare the denominators of fractions 15/4 and 6/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 15/4 and 6/19 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 15/4 and 6/19:
The LCM of 4 and 19 is 76.

step 4 Write the fractions 15/4 and 6/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15/4 + 6/19
= [(15 x 76)/(4 x 76)] + [(6 x 76)/(19 x 76)]

step 5 Simplify the expression to have common denominator:
= 285/76 + 24/76

step 6 Take the common values out and rewrite the above expression like the below:
= 1/76 x (285/1 + 24/1)
= 1/76 x (285 + 24)

step 7Simplify the above expression further:
= 1/76 x 309
= 309/76
15/4 + 6/19 = 309/76

Hence,
15/4 plus 6/19 as a fraction is 309/76.

---

15/4 + 6/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/4
Fraction B: 6/19

What to be found?
(15/4)+(6/19) = ?
Find what's the sum of 15/4 and 6/19.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (15 x 19), find the product of numerator of Fraction B and denominator of Fraction A (6 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:
= (15 x 19) + (6 x 4)/(4 x 19)

step 3 Simplify and rewrite the fraction:
= (285 + 24)/76
15/4 + 6/19 = 309/76

Hence,
15/4 plus 6/19 in fraction is 309/76