17/2 + 1/19 as a fraction

Learn how to find what is 17/2 plus 1/19 in fraction form just in a few minutes. We have covered the easiest method to write 17/2 + 1/19 as a fraction and decimal.

Summary: 17/2 plus 1/19 = 325/38
Since both fractions have unequal denominators, 17/2 plus 1/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/2 and fraction 1/19 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 19. 38 is the LCM of 2 and 19. Multiplying the LCM 38 with the numerators and denominators of both fractions (17/2 x 38/38) + (1/19 x 38/38), and simplify further in order to have the common denominator. So the equivalent fraction for 17/2 is 323/38 and for 1/19 is 2/38. By simplifying this fraction addition 323/38 + 2/38, it becomes 325/38.

CALCULATION: 17/2 + 1/19 as a fraction
17/2 + 1/19 = (?)
17/2 + 1/19 = [(17 x 19) + (1 x 2)]/(2 x 19)
= (323 + 2)/38
= 325/38
17/2 + 1/19 = 325/38
17/2 plus 1/19 as a fraction is 325/38.

where
17/2 is a improper fraction as an addend,
1/19 is a proper fraction as an addend,
325/38 is the sum of 17/2 and 1/19.

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17/2 plus 1/19 as a decimal
17/2 + 1/19 = 325/38
325/38 = 8.5526
(17/2) + (1/19) as a decimal is 8.5526

where
8.5526 is the sum of 17/2 and 1/19.

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

(17/2) + (1/19) using LCM Method:
What is 17/2 plus 1/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/2
Fraction B: 1/19

What to be found?
(17/2) + (1/19) = ?
Find what's the sum of 17/2 and 1/19.

step 2 Compare the denominators of fractions 17/2 and 1/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/2 and 1/19 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 17/2 and 1/19:
The LCM of 2 and 19 is 38.

step 4 Write the fractions 17/2 and 1/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/2 + 1/19
= [(17 x 38)/(2 x 38)] + [(1 x 38)/(19 x 38)]

step 5 Simplify the expression to have common denominator:
= 323/38 + 2/38

step 6 Take the common values out and rewrite the above expression like the below:
= 1/38 x (323/1 + 2/1)
= 1/38 x (323 + 2)

step 7Simplify the above expression further:
= 1/38 x 325
= 325/38
17/2 + 1/19 = 325/38

Hence,
17/2 plus 1/19 as a fraction is 325/38.

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17/2 + 1/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/2
Fraction B: 1/19

What to be found?
(17/2)+(1/19) = ?
Find what's the sum of 17/2 and 1/19.

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 (1 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 19) and rewrite the equation as like the below:
= (17 x 19) + (1 x 2)/(2 x 19)

step 3 Simplify and rewrite the fraction:
= (323 + 2)/38
17/2 + 1/19 = 325/38

Hence,
17/2 plus 1/19 in fraction is 325/38