3/5 + 2/19 as a fraction

Learn how to find what is 3/5 plus 2/19 in fraction form just in a few minutes. We have covered the easiest method to write 3/5 + 2/19 as a fraction and decimal.

Summary: 3/5 plus 2/19 = 67/95
Since both fractions have unequal denominators, 3/5 plus 2/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 3/5 and fraction 2/19 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 (3/5 x 95/95) + (2/19 x 95/95), and simplify further in order to have the common denominator. So the equivalent fraction for 3/5 is 57/95 and for 2/19 is 10/95. By simplifying this fraction addition 57/95 + 10/95, it becomes 67/95.

Pie Chart Representation: 3/5 + 2/19 = 67/95

CALCULATION: 3/5 + 2/19 as a fraction
3/5 + 2/19 = (?)
3/5 + 2/19 = [(3 x 19) + (2 x 5)]/(5 x 19)
= (57 + 10)/95
= 67/95
3/5 + 2/19 = 67/95
3/5 plus 2/19 as a fraction is 67/95.

where
3/5 is a proper fraction as an addend,
2/19 is a proper fraction as an addend,
67/95 is the sum of 3/5 and 2/19.

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3/5 plus 2/19 as a decimal
3/5 + 2/19 = 67/95
67/95 = 0.7053
(3/5) + (2/19) as a decimal is 0.7053

where
0.7053 is the sum of 3/5 and 2/19.

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

(3/5) + (2/19) using LCM Method:
What is 3/5 plus 2/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 2/19

What to be found?
(3/5) + (2/19) = ?
Find what's the sum of 3/5 and 2/19.

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

step 4 Write the fractions 3/5 and 2/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/5 + 2/19
= [(3 x 95)/(5 x 95)] + [(2 x 95)/(19 x 95)]

step 5 Simplify the expression to have common denominator:
= 57/95 + 10/95

step 6 Take the common values out and rewrite the above expression like the below:
= 1/95 x (57/1 + 10/1)
= 1/95 x (57 + 10)

step 7Simplify the above expression further:
= 1/95 x 67
= 67/95
3/5 + 2/19 = 67/95

Hence,
3/5 plus 2/19 as a fraction is 67/95.

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3/5 + 2/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 2/19

What to be found?
(3/5)+(2/19) = ?
Find what's the sum of 3/5 and 2/19.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 19), find the product of numerator of Fraction B and denominator of Fraction A (2 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:
= (3 x 19) + (2 x 5)/(5 x 19)

step 3 Simplify and rewrite the fraction:
= (57 + 10)/95
3/5 + 2/19 = 67/95

Hence,
3/5 plus 2/19 in fraction is 67/95