17/6 + 10/19 as a fraction

Learn how to find what is 17/6 plus 10/19 in fraction form just in a few minutes. We have covered the easiest method to write 17/6 + 10/19 as a fraction and decimal.

Summary: 17/6 plus 10/19 = 383/114
Since both fractions have unequal denominators, 17/6 plus 10/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/6 and fraction 10/19 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 19. 114 is the LCM of 6 and 19. Multiplying the LCM 114 with the numerators and denominators of both fractions (17/6 x 114/114) + (10/19 x 114/114), and simplify further in order to have the common denominator. So the equivalent fraction for 17/6 is 323/114 and for 10/19 is 60/114. By simplifying this fraction addition 323/114 + 60/114, it becomes 383/114.

CALCULATION: 17/6 + 10/19 as a fraction
17/6 + 10/19 = (?)
17/6 + 10/19 = [(17 x 19) + (10 x 6)]/(6 x 19)
= (323 + 60)/114
= 383/114
17/6 + 10/19 = 383/114
17/6 plus 10/19 as a fraction is 383/114.

where
17/6 is a improper fraction as an addend,
10/19 is a proper fraction as an addend,
383/114 is the sum of 17/6 and 10/19.

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17/6 plus 10/19 as a decimal
17/6 + 10/19 = 383/114
383/114 = 3.3596
(17/6) + (10/19) as a decimal is 3.3596

where
3.3596 is the sum of 17/6 and 10/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/6 and 10/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/6 plus 10/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/6) + (10/19) using LCM Method:
What is 17/6 plus 10/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/6
Fraction B: 10/19

What to be found?
(17/6) + (10/19) = ?
Find what's the sum of 17/6 and 10/19.

step 2 Compare the denominators of fractions 17/6 and 10/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/6 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 17/6 and 10/19:
The LCM of 6 and 19 is 114.

step 4 Write the fractions 17/6 and 10/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/6 + 10/19
= [(17 x 114)/(6 x 114)] + [(10 x 114)/(19 x 114)]

step 5 Simplify the expression to have common denominator:
= 323/114 + 60/114

step 6 Take the common values out and rewrite the above expression like the below:
= 1/114 x (323/1 + 60/1)
= 1/114 x (323 + 60)

step 7Simplify the above expression further:
= 1/114 x 383
= 383/114
17/6 + 10/19 = 383/114

Hence,
17/6 plus 10/19 as a fraction is 383/114.

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17/6 + 10/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/6
Fraction B: 10/19

What to be found?
(17/6)+(10/19) = ?
Find what's the sum of 17/6 and 10/19.

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 (10 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 19) and rewrite the equation as like the below:
= (17 x 19) + (10 x 6)/(6 x 19)

step 3 Simplify and rewrite the fraction:
= (323 + 60)/114
17/6 + 10/19 = 383/114

Hence,
17/6 plus 10/19 in fraction is 383/114