2/3 + 1/19 as a fraction

Learn how to find what is 2/3 plus 1/19 in fraction form just in a few minutes. We have covered the easiest method to write 2/3 + 1/19 as a fraction and decimal.

Summary: 2/3 plus 1/19 = 41/57
Since both fractions have unequal denominators, 2/3 plus 1/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/3 and fraction 1/19 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 (2/3 x 57/57) + (1/19 x 57/57), and simplify further in order to have the common denominator. So the equivalent fraction for 2/3 is 38/57 and for 1/19 is 3/57. By simplifying this fraction addition 38/57 + 3/57, it becomes 41/57.

Pie Chart Representation: 2/3 + 1/19 = 41/57

CALCULATION: 2/3 + 1/19 as a fraction
2/3 + 1/19 = (?)
2/3 + 1/19 = [(2 x 19) + (1 x 3)]/(3 x 19)
= (38 + 3)/57
= 41/57
2/3 + 1/19 = 41/57
2/3 plus 1/19 as a fraction is 41/57.

where
2/3 is a proper fraction as an addend,
1/19 is a proper fraction as an addend,
41/57 is the sum of 2/3 and 1/19.

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2/3 plus 1/19 as a decimal
2/3 + 1/19 = 41/57
41/57 = 0.7193
(2/3) + (1/19) as a decimal is 0.7193

where
0.7193 is the sum of 2/3 and 1/19.

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

(2/3) + (1/19) using LCM Method:
What is 2/3 plus 1/19 as a fraction?

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

What to be found?
(2/3) + (1/19) = ?
Find what's the sum of 2/3 and 1/19.

step 2 Compare the denominators of fractions 2/3 and 1/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/3 and 1/19 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 2/3 and 1/19:
The LCM of 3 and 19 is 57.

step 4 Write the fractions 2/3 and 1/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/3 + 1/19
= [(2 x 57)/(3 x 57)] + [(1 x 57)/(19 x 57)]

step 5 Simplify the expression to have common denominator:
= 38/57 + 3/57

step 6 Take the common values out and rewrite the above expression like the below:
= 1/57 x (38/1 + 3/1)
= 1/57 x (38 + 3)

step 7Simplify the above expression further:
= 1/57 x 41
= 41/57
2/3 + 1/19 = 41/57

Hence,
2/3 plus 1/19 as a fraction is 41/57.

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

What to be found?
(2/3)+(1/19) = ?
Find what's the sum of 2/3 and 1/19.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 19), find the product of numerator of Fraction B and denominator of Fraction A (1 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:
= (2 x 19) + (1 x 3)/(3 x 19)

step 3 Simplify and rewrite the fraction:
= (38 + 3)/57
2/3 + 1/19 = 41/57

Hence,
2/3 plus 1/19 in fraction is 41/57