10/19 + 5/17 as a fraction

Learn how to find what is 10/19 plus 5/17 in fraction form just in a few minutes. We have covered the easiest method to write 10/19 + 5/17 as a fraction and decimal.

Summary: 10/19 plus 5/17 = 265/323
Since both fractions have unequal denominators, 10/19 plus 5/17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 10/19 and fraction 5/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 19 and 17. 323 is the LCM of 19 and 17. Multiplying the LCM 323 with the numerators and denominators of both fractions (10/19 x 323/323) + (5/17 x 323/323), and simplify further in order to have the common denominator. So the equivalent fraction for 10/19 is 170/323 and for 5/17 is 95/323. By simplifying this fraction addition 170/323 + 95/323, it becomes 265/323.

Pie Chart Representation: 10/19 + 5/17 = 265/323

CALCULATION: 10/19 + 5/17 as a fraction
10/19 + 5/17 = (?)
10/19 + 5/17 = [(10 x 17) + (5 x 19)]/(19 x 17)
= (170 + 95)/323
= 265/323
10/19 + 5/17 = 265/323
10/19 plus 5/17 as a fraction is 265/323.

where
10/19 is a proper fraction as an addend,
5/17 is a proper fraction as an addend,
265/323 is the sum of 10/19 and 5/17.

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10/19 plus 5/17 as a decimal
10/19 + 5/17 = 265/323
265/323 = 0.8204
(10/19) + (5/17) as a decimal is 0.8204

where
0.8204 is the sum of 10/19 and 5/17.

The below workout with step by step calculation shows how to find the equivalent fraction between 10/19 and 5/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 10/19 plus 5/17 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(10/19) + (5/17) using LCM Method:
What is 10/19 plus 5/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/19
Fraction B: 5/17

What to be found?
(10/19) + (5/17) = ?
Find what's the sum of 10/19 and 5/17.

step 2 Compare the denominators of fractions 10/19 and 5/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 10/19 and 5/17 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 10/19 and 5/17:
The LCM of 19 and 17 is 323.

step 4 Write the fractions 10/19 and 5/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 10/19 + 5/17
= [(10 x 323)/(19 x 323)] + [(5 x 323)/(17 x 323)]

step 5 Simplify the expression to have common denominator:
= 170/323 + 95/323

step 6 Take the common values out and rewrite the above expression like the below:
= 1/323 x (170/1 + 95/1)
= 1/323 x (170 + 95)

step 7Simplify the above expression further:
= 1/323 x 265
= 265/323
10/19 + 5/17 = 265/323

Hence,
10/19 plus 5/17 as a fraction is 265/323.

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10/19 + 5/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/19
Fraction B: 5/17

What to be found?
(10/19)+(5/17) = ?
Find what's the sum of 10/19 and 5/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 17), find the product of numerator of Fraction B and denominator of Fraction A (5 x 19), and find the product of both denominators of Fraction A and Fraction B (19 x 17) and rewrite the equation as like the below:
= (10 x 17) + (5 x 19)/(19 x 17)

step 3 Simplify and rewrite the fraction:
= (170 + 95)/323
10/19 + 5/17 = 265/323

Hence,
10/19 plus 5/17 in fraction is 265/323