11/3 + 11/6 as a fraction

Learn how to find what is 11/3 plus 11/6 in fraction form just in a few minutes. We have covered the easiest method to write 11/3 + 11/6 as a fraction and decimal.

Summary: 11/3 plus 11/6 = 11/2
Since both fractions have unequal denominators, 11/3 plus 11/6 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/3 and fraction 11/6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 6. 6 is the LCM of 3 and 6. Multiplying the LCM 6 with the numerators and denominators of both fractions (11/3 x 6/6) + (11/6 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 11/3 is 22/6 and for 11/6 is 11/6. By simplifying this fraction addition 22/6 + 11/6, it becomes 33/6.

CALCULATION: 11/3 + 11/6 as a fraction
11/3 + 11/6 = (?)
11/3 + 11/6 = [(11 x 6) + (11 x 3)]/(3 x 6)
= (66 + 33)/18
= 99/18
= (9 x 11)/(9 x 2)
= 11/2
11/3 + 11/6 = 11/2
11/3 plus 11/6 as a fraction is 11/2.

where
11/3 is a improper fraction as an addend,
11/6 is a improper fraction as an addend,
11/2 is the sum of 11/3 and 11/6.

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11/3 plus 11/6 as a decimal
11/3 + 11/6 = 11/2
11/2 = 5.5
(11/3) + (11/6) as a decimal is 5.5

where
5.5 is the sum of 11/3 and 11/6.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/3 and 11/6 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/3 plus 11/6 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/3) + (11/6) using LCM Method:
What is 11/3 plus 11/6 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/3
Fraction B: 11/6

What to be found?
(11/3) + (11/6) = ?
Find what's the sum of 11/3 and 11/6.

step 2 Compare the denominators of fractions 11/3 and 11/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/3 and 11/6 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 11/3 and 11/6:
The LCM of 3 and 6 is 6.

step 4 Write the fractions 11/3 and 11/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/3 + 11/6
= [(11 x 6)/(3 x 6)] + [(11 x 6)/(6 x 6)]

step 5 Simplify the expression to have common denominator:
= 22/6 + 11/6

step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (22/1 + 11/1)
= 1/6 x (22 + 11)

step 7Simplify the above expression further:
= 1/6 x 33
= 33/6
= 11/2
11/3 + 11/6 = 11/2

Hence,
11/3 plus 11/6 as a fraction is 11/2.

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11/3 + 11/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/3
Fraction B: 11/6

What to be found?
(11/3)+(11/6) = ?
Find what's the sum of 11/3 and 11/6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 6), 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 6) and rewrite the equation as like the below:
= (11 x 6) + (11 x 3)/(3 x 6)

step 3 Simplify and rewrite the fraction:
= (66 + 33)/18
= 99/18
= 11/2
11/3 + 11/6 = 11/2

Hence,
11/3 plus 11/6 in fraction is 11/2