2/3 + 1/19 in fraction form

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
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/3 and 1/19 having identical denominators before starting adding the fractions. Find the LCM of denominators, 57 is the LCM of 3 and 19. Multiply the LCM 57 with all 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 denominators. By simplifying the fraction addition expression becomes 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 fraction as an addend,
1/19 is a 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 equals to 41/57 in fraction.

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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 = 41/57