18/17 + 10/19 as a fraction

Learn how to find what is 18/17 plus 10/19 in fraction form just in a few minutes. We have covered the easiest method to write 18/17 + 10/19 as a fraction and decimal.

Summary: 18/17 plus 10/19 = 512/323
Since both fractions have unequal denominators, 18/17 plus 10/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 18/17 and fraction 10/19 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 17 and 19. 323 is the LCM of 17 and 19. Multiplying the LCM 323 with the numerators and denominators of both fractions (18/17 x 323/323) + (10/19 x 323/323), and simplify further in order to have the common denominator. So the equivalent fraction for 18/17 is 342/323 and for 10/19 is 170/323. By simplifying this fraction addition 342/323 + 170/323, it becomes 512/323.

CALCULATION: 18/17 + 10/19 as a fraction
18/17 + 10/19 = (?)
18/17 + 10/19 = [(18 x 19) + (10 x 17)]/(17 x 19)
= (342 + 170)/323
= 512/323
18/17 + 10/19 = 512/323
18/17 plus 10/19 as a fraction is 512/323.

where
18/17 is a improper fraction as an addend,
10/19 is a proper fraction as an addend,
512/323 is the sum of 18/17 and 10/19.

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18/17 plus 10/19 as a decimal
18/17 + 10/19 = 512/323
512/323 = 1.5851
(18/17) + (10/19) as a decimal is 1.5851

where
1.5851 is the sum of 18/17 and 10/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 18/17 and 10/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 18/17 plus 10/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(18/17) + (10/19) using LCM Method:
What is 18/17 plus 10/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/17
Fraction B: 10/19

What to be found?
(18/17) + (10/19) = ?
Find what's the sum of 18/17 and 10/19.

step 2 Compare the denominators of fractions 18/17 and 10/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 18/17 and 10/19 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 18/17 and 10/19:
The LCM of 17 and 19 is 323.

step 4 Write the fractions 18/17 and 10/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 18/17 + 10/19
= [(18 x 323)/(17 x 323)] + [(10 x 323)/(19 x 323)]

step 5 Simplify the expression to have common denominator:
= 342/323 + 170/323

step 6 Take the common values out and rewrite the above expression like the below:
= 1/323 x (342/1 + 170/1)
= 1/323 x (342 + 170)

step 7Simplify the above expression further:
= 1/323 x 512
= 512/323
18/17 + 10/19 = 512/323

Hence,
18/17 plus 10/19 as a fraction is 512/323.

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18/17 + 10/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/17
Fraction B: 10/19

What to be found?
(18/17)+(10/19) = ?
Find what's the sum of 18/17 and 10/19.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (18 x 19), find the product of numerator of Fraction B and denominator of Fraction A (10 x 17), and find the product of both denominators of Fraction A and Fraction B (17 x 19) and rewrite the equation as like the below:
= (18 x 19) + (10 x 17)/(17 x 19)

step 3 Simplify and rewrite the fraction:
= (342 + 170)/323
18/17 + 10/19 = 512/323

Hence,
18/17 plus 10/19 in fraction is 512/323