11/6 + 18/11 as a fraction

Learn how to find what is 11/6 plus 18/11 in fraction form just in a few minutes. We have covered the easiest method to write 11/6 + 18/11 as a fraction and decimal.

Summary: 11/6 plus 18/11 = 229/66
Since both fractions have unequal denominators, 11/6 plus 18/11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/6 and fraction 18/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 11. 66 is the LCM of 6 and 11. Multiplying the LCM 66 with the numerators and denominators of both fractions (11/6 x 66/66) + (18/11 x 66/66), and simplify further in order to have the common denominator. So the equivalent fraction for 11/6 is 121/66 and for 18/11 is 108/66. By simplifying this fraction addition 121/66 + 108/66, it becomes 229/66.

CALCULATION: 11/6 + 18/11 as a fraction
11/6 + 18/11 = (?)
11/6 + 18/11 = [(11 x 11) + (18 x 6)]/(6 x 11)
= (121 + 108)/66
= 229/66
11/6 + 18/11 = 229/66
11/6 plus 18/11 as a fraction is 229/66.

where
11/6 is a improper fraction as an addend,
18/11 is a improper fraction as an addend,
229/66 is the sum of 11/6 and 18/11.

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11/6 plus 18/11 as a decimal
11/6 + 18/11 = 229/66
229/66 = 3.4697
(11/6) + (18/11) as a decimal is 3.4697

where
3.4697 is the sum of 11/6 and 18/11.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/6 and 18/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/6 plus 18/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/6) + (18/11) using LCM Method:
What is 11/6 plus 18/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/6
Fraction B: 18/11

What to be found?
(11/6) + (18/11) = ?
Find what's the sum of 11/6 and 18/11.

step 2 Compare the denominators of fractions 11/6 and 18/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/6 and 18/11 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 11/6 and 18/11:
The LCM of 6 and 11 is 66.

step 4 Write the fractions 11/6 and 18/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/6 + 18/11
= [(11 x 66)/(6 x 66)] + [(18 x 66)/(11 x 66)]

step 5 Simplify the expression to have common denominator:
= 121/66 + 108/66

step 6 Take the common values out and rewrite the above expression like the below:
= 1/66 x (121/1 + 108/1)
= 1/66 x (121 + 108)

step 7Simplify the above expression further:
= 1/66 x 229
= 229/66
11/6 + 18/11 = 229/66

Hence,
11/6 plus 18/11 as a fraction is 229/66.

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11/6 + 18/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/6
Fraction B: 18/11

What to be found?
(11/6)+(18/11) = ?
Find what's the sum of 11/6 and 18/11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 11), find the product of numerator of Fraction B and denominator of Fraction A (18 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 11) and rewrite the equation as like the below:
= (11 x 11) + (18 x 6)/(6 x 11)

step 3 Simplify and rewrite the fraction:
= (121 + 108)/66
11/6 + 18/11 = 229/66

Hence,
11/6 plus 18/11 in fraction is 229/66