What is 1/2 plus 1/19 in fraction?

1/2 plus 1/19 equals to 21/38 in fraction form.

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

Summary: __1/2 plus 1/19__

Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/2 and 1/19 having identical denominators before starting adding the fractions. Find the LCM of denominators, 38 is the LCM of 2 and 19. Multiply the LCM 38 with all the numerators and denominators of both fractions (1/2 x 38/38) + (1/19 x 38/38) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 21/38.

1/2 + 1/19 = (?)

1/2 + 1/19 = [(1 x 19) + (1 x 2)]/(2 x 19)

= (19 + 2)/38

= 21/38

1/2 + 1/19 = 21/38

1/2 is a fraction as an addend,

1/19 is a fraction as an addend,

21/38 is the sum of 1/2 and 1/19.

1/2 + 1/19 = 21/38

21/38 = 0.5526

1/2+1/19 as a decimal is 0.5526

0.5526 is the sum of 1/2 and 1/19.

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

1. LCM method

2. Cross multiplication method.

**1/2+1/19 using LCM Method:**

What is 1/2 plus 1/19 as a fraction?

step 1 Observe the input parameters and what to be found:__Input:__

Fraction A: 1/2

Fraction B: 1/19__What to be found?__

1/2+1/19 = ?

Find what's the sum of 1/2 and 1/19.

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

The LCM of 2 and 19 is 38.

step 4 Write the fractions 1/2 and 1/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.

=1/2+1/19

=(1 x 38)/(2 x 38)+(1 x 38)/(19 x 38)

step 5 Simplify the expression to have common denominator:

=19/38+2/38

step 6 Take the common values out and rewrite the above expression like the below:

=1/38 x (19/1+2/1)

=1/38 x (19 + 2)

step 7Simplify the above expression further:

=1/38 x 21

=21/38

1/2+1/19=21/38

Hence,

1/2 plus 1/19 equals to **21/38** in fraction.

**1/2+1/19 using Cross Multiplication Method:**

step 1 Observe the input parameters and what to be found:__Input:__

Fraction A: 1/2

Fraction B: 1/19__What to be found?__

1/2+1/19 = ?

Find what's the sum of 1/2 and 1/19.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 19), find the product of numerator of Fraction B and denominator of Fraction A (1 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 19) and rewrite the equation as like the below:

= (1 x 19) + (1 x 2)/(2 x 19)

step 3 Simplify and rewrite the fraction:

= (19 + 2)/38

1/2+1/19 = 21/38

Hence,

1/2 plus 1/19 = **21/38**