What is 2/3 plus 10/19 in fraction?

2/3 plus 10/19 equals to 68/57 in fraction form.

Learn how to find what is 2/3 plus 10/19 in fraction form just in a few minutes. We have covered the easiest method to write 2/3 + 10/19 as a fraction and decimal.

Summary: __2/3 plus 10/19__

Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/3 and 10/19 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) + (10/19 x 57/57) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 68/57.

2/3 + 10/19 = (?)

2/3 + 10/19 = [(2 x 19) + (10 x 3)]/(3 x 19)

= (38 + 30)/57

= 68/57

2/3 + 10/19 = 68/57

2/3 is a fraction as an addend,

10/19 is a fraction as an addend,

68/57 is the sum of 2/3 and 10/19.

2/3 + 10/19 = 68/57

68/57 = 1.193

2/3+10/19 as a decimal is 1.193

1.193 is the sum of 2/3 and 10/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/3 and 10/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/3 plus 10/19 can be obtained by using anyone of the two methods below.

1. LCM method

2. Cross multiplication method.

**2/3+10/19 using LCM Method:**

What is 2/3 plus 10/19 as a fraction?

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

Fraction A: 2/3

Fraction B: 10/19__What to be found?__

2/3+10/19 = ?

Find what's the sum of 2/3 and 10/19.

step 2 Compare the denominators of fractions 2/3 and 10/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/3 and 10/19 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 10/19:

The LCM of 3 and 19 is 57.

step 4 Write the fractions 2/3 and 10/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.

=2/3+10/19

=(2 x 57)/(3 x 57)+(10 x 57)/(19 x 57)

step 5 Simplify the expression to have common denominator:

=38/57+30/57

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

=1/57 x (38/1+30/1)

=1/57 x (38 + 30)

step 7Simplify the above expression further:

=1/57 x 68

=68/57

2/3+10/19=68/57

Hence,

2/3 plus 10/19 equals to **68/57** in fraction.

**2/3+10/19 using Cross Multiplication Method:**

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

Fraction A: 2/3

Fraction B: 10/19__What to be found?__

2/3+10/19 = ?

Find what's the sum of 2/3 and 10/19.

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 (10 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) + (10 x 3)/(3 x 19)

step 3 Simplify and rewrite the fraction:

= (38 + 30)/57

2/3+10/19 = 68/57

Hence,

2/3 plus 10/19 = **68/57**