17/4 + 3/19 as a fraction

Learn how to find what is 17/4 plus 3/19 in fraction form just in a few minutes. We have covered the easiest method to write 17/4 + 3/19 as a fraction and decimal.

Summary: 17/4 plus 3/19 = 335/76
Since both fractions have unequal denominators, 17/4 plus 3/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/4 and fraction 3/19 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 (17/4 x 76/76) + (3/19 x 76/76), and simplify further in order to have the common denominator. So the equivalent fraction for 17/4 is 323/76 and for 3/19 is 12/76. By simplifying this fraction addition 323/76 + 12/76, it becomes 335/76.

CALCULATION: 17/4 + 3/19 as a fraction
17/4 + 3/19 = (?)
17/4 + 3/19 = [(17 x 19) + (3 x 4)]/(4 x 19)
= (323 + 12)/76
= 335/76
17/4 + 3/19 = 335/76
17/4 plus 3/19 as a fraction is 335/76.

where
17/4 is a improper fraction as an addend,
3/19 is a proper fraction as an addend,
335/76 is the sum of 17/4 and 3/19.

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17/4 plus 3/19 as a decimal
17/4 + 3/19 = 335/76
335/76 = 4.4079
(17/4) + (3/19) as a decimal is 4.4079

where
4.4079 is the sum of 17/4 and 3/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/4 and 3/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/4 plus 3/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/4) + (3/19) using LCM Method:
What is 17/4 plus 3/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/4
Fraction B: 3/19

What to be found?
(17/4) + (3/19) = ?
Find what's the sum of 17/4 and 3/19.

step 2 Compare the denominators of fractions 17/4 and 3/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/4 and 3/19 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 17/4 and 3/19:
The LCM of 4 and 19 is 76.

step 4 Write the fractions 17/4 and 3/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/4 + 3/19
= [(17 x 76)/(4 x 76)] + [(3 x 76)/(19 x 76)]

step 5 Simplify the expression to have common denominator:
= 323/76 + 12/76

step 6 Take the common values out and rewrite the above expression like the below:
= 1/76 x (323/1 + 12/1)
= 1/76 x (323 + 12)

step 7Simplify the above expression further:
= 1/76 x 335
= 335/76
17/4 + 3/19 = 335/76

Hence,
17/4 plus 3/19 as a fraction is 335/76.

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17/4 + 3/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/4
Fraction B: 3/19

What to be found?
(17/4)+(3/19) = ?
Find what's the sum of 17/4 and 3/19.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 19), find the product of numerator of Fraction B and denominator of Fraction A (3 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:
= (17 x 19) + (3 x 4)/(4 x 19)

step 3 Simplify and rewrite the fraction:
= (323 + 12)/76
17/4 + 3/19 = 335/76

Hence,
17/4 plus 3/19 in fraction is 335/76