2/9 + 2/11 as a fraction

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

Summary: 2/9 plus 2/11 = 40/99
Since both fractions have unequal denominators, 2/9 plus 2/11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/9 and fraction 2/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 11. 99 is the LCM of 9 and 11. Multiplying the LCM 99 with the numerators and denominators of both fractions (2/9 x 99/99) + (2/11 x 99/99), and simplify further in order to have the common denominator. So the equivalent fraction for 2/9 is 22/99 and for 2/11 is 18/99. By simplifying this fraction addition 22/99 + 18/99, it becomes 40/99.

Pie Chart Representation: 2/9 + 2/11 = 40/99

CALCULATION: 2/9 + 2/11 as a fraction
2/9 + 2/11 = (?)
2/9 + 2/11 = [(2 x 11) + (2 x 9)]/(9 x 11)
= (22 + 18)/99
= 40/99
2/9 + 2/11 = 40/99
2/9 plus 2/11 as a fraction is 40/99.

where
2/9 is a proper fraction as an addend,
2/11 is a proper fraction as an addend,
40/99 is the sum of 2/9 and 2/11.

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2/9 plus 2/11 as a decimal
2/9 + 2/11 = 40/99
40/99 = 0.404
(2/9) + (2/11) as a decimal is 0.404

where
0.404 is the sum of 2/9 and 2/11.

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

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

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

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

step 2 Compare the denominators of fractions 2/9 and 2/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/9 and 2/11 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 2/9 and 2/11:
The LCM of 9 and 11 is 99.

step 4 Write the fractions 2/9 and 2/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/9 + 2/11
= [(2 x 99)/(9 x 99)] + [(2 x 99)/(11 x 99)]

step 5 Simplify the expression to have common denominator:
= 22/99 + 18/99

step 6 Take the common values out and rewrite the above expression like the below:
= 1/99 x (22/1 + 18/1)
= 1/99 x (22 + 18)

step 7Simplify the above expression further:
= 1/99 x 40
= 40/99
2/9 + 2/11 = 40/99

Hence,
2/9 plus 2/11 as a fraction is 40/99.

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

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

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

step 3 Simplify and rewrite the fraction:
= (22 + 18)/99
2/9 + 2/11 = 40/99

Hence,
2/9 plus 2/11 in fraction is 40/99