8/3 + 9/19 as a fraction

Learn how to find what is 8/3 plus 9/19 in fraction form just in a few minutes. We have covered the easiest method to write 8/3 + 9/19 as a fraction and decimal.

Summary: 8/3 plus 9/19 = 179/57
Since both fractions have unequal denominators, 8/3 plus 9/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 8/3 and fraction 9/19 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 19. 57 is the LCM of 3 and 19. Multiplying the LCM 57 with the numerators and denominators of both fractions (8/3 x 57/57) + (9/19 x 57/57), and simplify further in order to have the common denominator. So the equivalent fraction for 8/3 is 152/57 and for 9/19 is 27/57. By simplifying this fraction addition 152/57 + 27/57, it becomes 179/57.

CALCULATION: 8/3 + 9/19 as a fraction
8/3 + 9/19 = (?)
8/3 + 9/19 = [(8 x 19) + (9 x 3)]/(3 x 19)
= (152 + 27)/57
= 179/57
8/3 + 9/19 = 179/57
8/3 plus 9/19 as a fraction is 179/57.

where
8/3 is a improper fraction as an addend,
9/19 is a proper fraction as an addend,
179/57 is the sum of 8/3 and 9/19.

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8/3 plus 9/19 as a decimal
8/3 + 9/19 = 179/57
179/57 = 3.1404
(8/3) + (9/19) as a decimal is 3.1404

where
3.1404 is the sum of 8/3 and 9/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 8/3 and 9/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 8/3 plus 9/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(8/3) + (9/19) using LCM Method:
What is 8/3 plus 9/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/3
Fraction B: 9/19

What to be found?
(8/3) + (9/19) = ?
Find what's the sum of 8/3 and 9/19.

step 2 Compare the denominators of fractions 8/3 and 9/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 8/3 and 9/19 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 8/3 and 9/19:
The LCM of 3 and 19 is 57.

step 4 Write the fractions 8/3 and 9/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8/3 + 9/19
= [(8 x 57)/(3 x 57)] + [(9 x 57)/(19 x 57)]

step 5 Simplify the expression to have common denominator:
= 152/57 + 27/57

step 6 Take the common values out and rewrite the above expression like the below:
= 1/57 x (152/1 + 27/1)
= 1/57 x (152 + 27)

step 7Simplify the above expression further:
= 1/57 x 179
= 179/57
8/3 + 9/19 = 179/57

Hence,
8/3 plus 9/19 as a fraction is 179/57.

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8/3 + 9/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/3
Fraction B: 9/19

What to be found?
(8/3)+(9/19) = ?
Find what's the sum of 8/3 and 9/19.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 19), find the product of numerator of Fraction B and denominator of Fraction A (9 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 19) and rewrite the equation as like the below:
= (8 x 19) + (9 x 3)/(3 x 19)

step 3 Simplify and rewrite the fraction:
= (152 + 27)/57
8/3 + 9/19 = 179/57

Hence,
8/3 plus 9/19 in fraction is 179/57