6/5 + 6/19 as a fraction

Learn how to find what is 6/5 plus 6/19 in fraction form just in a few minutes. We have covered the easiest method to write 6/5 + 6/19 as a fraction and decimal.

Summary: 6/5 plus 6/19 = 144/95
Since both fractions have unequal denominators, 6/5 plus 6/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 6/5 and fraction 6/19 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 (6/5 x 95/95) + (6/19 x 95/95), and simplify further in order to have the common denominator. So the equivalent fraction for 6/5 is 114/95 and for 6/19 is 30/95. By simplifying this fraction addition 114/95 + 30/95, it becomes 144/95.

CALCULATION: 6/5 + 6/19 as a fraction
6/5 + 6/19 = (?)
6/5 + 6/19 = [(6 x 19) + (6 x 5)]/(5 x 19)
= (114 + 30)/95
= 144/95
6/5 + 6/19 = 144/95
6/5 plus 6/19 as a fraction is 144/95.

where
6/5 is a improper fraction as an addend,
6/19 is a proper fraction as an addend,
144/95 is the sum of 6/5 and 6/19.

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6/5 plus 6/19 as a decimal
6/5 + 6/19 = 144/95
144/95 = 1.5158
(6/5) + (6/19) as a decimal is 1.5158

where
1.5158 is the sum of 6/5 and 6/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 6/5 and 6/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 6/5 plus 6/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(6/5) + (6/19) using LCM Method:
What is 6/5 plus 6/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/5
Fraction B: 6/19

What to be found?
(6/5) + (6/19) = ?
Find what's the sum of 6/5 and 6/19.

step 2 Compare the denominators of fractions 6/5 and 6/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 6/5 and 6/19 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 6/5 and 6/19:
The LCM of 5 and 19 is 95.

step 4 Write the fractions 6/5 and 6/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 6/5 + 6/19
= [(6 x 95)/(5 x 95)] + [(6 x 95)/(19 x 95)]

step 5 Simplify the expression to have common denominator:
= 114/95 + 30/95

step 6 Take the common values out and rewrite the above expression like the below:
= 1/95 x (114/1 + 30/1)
= 1/95 x (114 + 30)

step 7Simplify the above expression further:
= 1/95 x 144
= 144/95
6/5 + 6/19 = 144/95

Hence,
6/5 plus 6/19 as a fraction is 144/95.

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6/5 + 6/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/5
Fraction B: 6/19

What to be found?
(6/5)+(6/19) = ?
Find what's the sum of 6/5 and 6/19.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 19), find the product of numerator of Fraction B and denominator of Fraction A (6 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:
= (6 x 19) + (6 x 5)/(5 x 19)

step 3 Simplify and rewrite the fraction:
= (114 + 30)/95
6/5 + 6/19 = 144/95

Hence,
6/5 plus 6/19 in fraction is 144/95