8/5 + 3/19 as a fraction

Learn how to find what is 8/5 plus 3/19 in fraction form just in a few minutes. We have covered the easiest method to write 8/5 + 3/19 as a fraction and decimal.

Summary: 8/5 plus 3/19 = 167/95
Since both fractions have unequal denominators, 8/5 plus 3/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 8/5 and fraction 3/19 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 19. 95 is the LCM of 5 and 19. Multiplying the LCM 95 with the numerators and denominators of both fractions (8/5 x 95/95) + (3/19 x 95/95), and simplify further in order to have the common denominator. So the equivalent fraction for 8/5 is 152/95 and for 3/19 is 15/95. By simplifying this fraction addition 152/95 + 15/95, it becomes 167/95.

CALCULATION: 8/5 + 3/19 as a fraction
8/5 + 3/19 = (?)
8/5 + 3/19 = [(8 x 19) + (3 x 5)]/(5 x 19)
= (152 + 15)/95
= 167/95
8/5 + 3/19 = 167/95
8/5 plus 3/19 as a fraction is 167/95.

where
8/5 is a improper fraction as an addend,
3/19 is a proper fraction as an addend,
167/95 is the sum of 8/5 and 3/19.

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8/5 plus 3/19 as a decimal
8/5 + 3/19 = 167/95
167/95 = 1.7579
(8/5) + (3/19) as a decimal is 1.7579

where
1.7579 is the sum of 8/5 and 3/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 8/5 and 3/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 8/5 plus 3/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(8/5) + (3/19) using LCM Method:
What is 8/5 plus 3/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/5
Fraction B: 3/19

What to be found?
(8/5) + (3/19) = ?
Find what's the sum of 8/5 and 3/19.

step 2 Compare the denominators of fractions 8/5 and 3/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 8/5 and 3/19 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 8/5 and 3/19:
The LCM of 5 and 19 is 95.

step 4 Write the fractions 8/5 and 3/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8/5 + 3/19
= [(8 x 95)/(5 x 95)] + [(3 x 95)/(19 x 95)]

step 5 Simplify the expression to have common denominator:
= 152/95 + 15/95

step 6 Take the common values out and rewrite the above expression like the below:
= 1/95 x (152/1 + 15/1)
= 1/95 x (152 + 15)

step 7Simplify the above expression further:
= 1/95 x 167
= 167/95
8/5 + 3/19 = 167/95

Hence,
8/5 plus 3/19 as a fraction is 167/95.

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8/5 + 3/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/5
Fraction B: 3/19

What to be found?
(8/5)+(3/19) = ?
Find what's the sum of 8/5 and 3/19.

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 (3 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 19) and rewrite the equation as like the below:
= (8 x 19) + (3 x 5)/(5 x 19)

step 3 Simplify and rewrite the fraction:
= (152 + 15)/95
8/5 + 3/19 = 167/95

Hence,
8/5 plus 3/19 in fraction is 167/95