What is 2/3 plus 11/17 in fraction?

2/3 plus 11/17 equals to 67/51 in fraction form.

Learn how to find what is 2/3 plus 11/17 in fraction form just in a few minutes. We have covered the easiest method to write 2/3 + 11/17 as a fraction and decimal.

Summary: __2/3 plus 11/17__

Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/3 and 11/17 having identical denominators before starting adding the fractions. Find the LCM of denominators, 51 is the LCM of 3 and 17. Multiply the LCM 51 with all the numerators and denominators of both fractions (2/3 x 51/51) + (11/17 x 51/51) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 67/51.

2/3 + 11/17 = (?)

2/3 + 11/17 = [(2 x 17) + (11 x 3)]/(3 x 17)

= (34 + 33)/51

= 67/51

2/3 + 11/17 = 67/51

2/3 is a fraction as an addend,

11/17 is a fraction as an addend,

67/51 is the sum of 2/3 and 11/17.

2/3 + 11/17 = 67/51

67/51 = 1.3137

2/3+11/17 as a decimal is 1.3137

1.3137 is the sum of 2/3 and 11/17.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/3 and 11/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/3 plus 11/17 can be obtained by using anyone of the two methods below.

1. LCM method

2. Cross multiplication method.

**2/3+11/17 using LCM Method:**

What is 2/3 plus 11/17 as a fraction?

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

Fraction A: 2/3

Fraction B: 11/17__What to be found?__

2/3+11/17 = ?

Find what's the sum of 2/3 and 11/17.

step 2 Compare the denominators of fractions 2/3 and 11/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/3 and 11/17 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 11/17:

The LCM of 3 and 17 is 51.

step 4 Write the fractions 2/3 and 11/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.

=2/3+11/17

=(2 x 51)/(3 x 51)+(11 x 51)/(17 x 51)

step 5 Simplify the expression to have common denominator:

=34/51+33/51

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

=1/51 x (34/1+33/1)

=1/51 x (34 + 33)

step 7Simplify the above expression further:

=1/51 x 67

=67/51

2/3+11/17=67/51

Hence,

2/3 plus 11/17 equals to **67/51** in fraction.

**2/3+11/17 using Cross Multiplication Method:**

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

Fraction A: 2/3

Fraction B: 11/17__What to be found?__

2/3+11/17 = ?

Find what's the sum of 2/3 and 11/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 17), find the product of numerator of Fraction B and denominator of Fraction A (11 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 17) and rewrite the equation as like the below:

= (2 x 17) + (11 x 3)/(3 x 17)

step 3 Simplify and rewrite the fraction:

= (34 + 33)/51

2/3+11/17 = 67/51

Hence,

2/3 plus 11/17 = **67/51**