2/3 + 4/11 as a fraction

Learn how to find what is 2/3 plus 4/11 in fraction form just in a few minutes. We have covered the easiest method to write 2/3 + 4/11 as a fraction and decimal.

Summary: 2/3 plus 4/11 = 34/33
Since both fractions have unequal denominators, 2/3 plus 4/11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/3 and fraction 4/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 11. 33 is the LCM of 3 and 11. Multiplying the LCM 33 with the numerators and denominators of both fractions (2/3 x 33/33) + (4/11 x 33/33), and simplify further in order to have the common denominator. So the equivalent fraction for 2/3 is 22/33 and for 4/11 is 12/33. By simplifying this fraction addition 22/33 + 12/33, it becomes 34/33.

CALCULATION: 2/3 + 4/11 as a fraction
2/3 + 4/11 = (?)
2/3 + 4/11 = [(2 x 11) + (4 x 3)]/(3 x 11)
= (22 + 12)/33
= 34/33
2/3 + 4/11 = 34/33
2/3 plus 4/11 as a fraction is 34/33.

where
2/3 is a proper fraction as an addend,
4/11 is a proper fraction as an addend,
34/33 is the sum of 2/3 and 4/11.

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2/3 plus 4/11 as a decimal
2/3 + 4/11 = 34/33
34/33 = 1.0303
(2/3) + (4/11) as a decimal is 1.0303

where
1.0303 is the sum of 2/3 and 4/11.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/3 and 4/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/3 plus 4/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/3) + (4/11) using LCM Method:
What is 2/3 plus 4/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 4/11

What to be found?
(2/3) + (4/11) = ?
Find what's the sum of 2/3 and 4/11.

step 2 Compare the denominators of fractions 2/3 and 4/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/3 and 4/11 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 2/3 and 4/11:
The LCM of 3 and 11 is 33.

step 4 Write the fractions 2/3 and 4/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/3 + 4/11
= [(2 x 33)/(3 x 33)] + [(4 x 33)/(11 x 33)]

step 5 Simplify the expression to have common denominator:
= 22/33 + 12/33

step 6 Take the common values out and rewrite the above expression like the below:
= 1/33 x (22/1 + 12/1)
= 1/33 x (22 + 12)

step 7Simplify the above expression further:
= 1/33 x 34
= 34/33
2/3 + 4/11 = 34/33

Hence,
2/3 plus 4/11 as a fraction is 34/33.

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2/3 + 4/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 4/11

What to be found?
(2/3)+(4/11) = ?
Find what's the sum of 2/3 and 4/11.

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 (4 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 11) and rewrite the equation as like the below:
= (2 x 11) + (4 x 3)/(3 x 11)

step 3 Simplify and rewrite the fraction:
= (22 + 12)/33
2/3 + 4/11 = 34/33

Hence,
2/3 plus 4/11 in fraction is 34/33