11/9 + 2/3 as a fraction

Learn how to find what is 11/9 plus 2/3 in fraction form just in a few minutes. We have covered the easiest method to write 11/9 + 2/3 as a fraction and decimal.

Summary: 11/9 plus 2/3 = 17/9
Since both fractions have unequal denominators, 11/9 plus 2/3 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/9 and fraction 2/3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 3. 9 is the LCM of 9 and 3. Multiplying the LCM 9 with the numerators and denominators of both fractions (11/9 x 9/9) + (2/3 x 9/9), and simplify further in order to have the common denominator. So the equivalent fraction for 11/9 is 11/9 and for 2/3 is 6/9. By simplifying this fraction addition 11/9 + 6/9, it becomes 17/9.

CALCULATION: 11/9 + 2/3 as a fraction
11/9 + 2/3 = (?)
11/9 + 2/3 = [(11 x 3) + (2 x 9)]/(9 x 3)
= (33 + 18)/27
= 51/27
= (3 x 17)/(3 x 9)
= 17/9
11/9 + 2/3 = 17/9
11/9 plus 2/3 as a fraction is 17/9.

where
11/9 is a improper fraction as an addend,
2/3 is a proper fraction as an addend,
17/9 is the sum of 11/9 and 2/3.

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11/9 plus 2/3 as a decimal
11/9 + 2/3 = 17/9
17/9 = 1.8889
(11/9) + (2/3) as a decimal is 1.8889

where
1.8889 is the sum of 11/9 and 2/3.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/9 and 2/3 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/9 plus 2/3 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/9) + (2/3) using LCM Method:
What is 11/9 plus 2/3 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/9
Fraction B: 2/3

What to be found?
(11/9) + (2/3) = ?
Find what's the sum of 11/9 and 2/3.

step 2 Compare the denominators of fractions 11/9 and 2/3 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/9 and 2/3 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 11/9 and 2/3:
The LCM of 9 and 3 is 9.

step 4 Write the fractions 11/9 and 2/3 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/9 + 2/3
= [(11 x 9)/(9 x 9)] + [(2 x 9)/(3 x 9)]

step 5 Simplify the expression to have common denominator:
= 11/9 + 6/9

step 6 Take the common values out and rewrite the above expression like the below:
= 1/9 x (11/1 + 6/1)
= 1/9 x (11 + 6)

step 7Simplify the above expression further:
= 1/9 x 17
= 17/9
11/9 + 2/3 = 17/9

Hence,
11/9 plus 2/3 as a fraction is 17/9.

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11/9 + 2/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/9
Fraction B: 2/3

What to be found?
(11/9)+(2/3) = ?
Find what's the sum of 11/9 and 2/3.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 3), find the product of numerator of Fraction B and denominator of Fraction A (2 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 3) and rewrite the equation as like the below:
= (11 x 3) + (2 x 9)/(9 x 3)

step 3 Simplify and rewrite the fraction:
= (33 + 18)/27
= 51/27
= 17/9
11/9 + 2/3 = 17/9

Hence,
11/9 plus 2/3 in fraction is 17/9