11/3 + 10/11 as a fraction

Learn how to find what is 11/3 plus 10/11 in fraction form just in a few minutes. We have covered the easiest method to write 11/3 + 10/11 as a fraction and decimal.

Summary: 11/3 plus 10/11 = 151/33
Since both fractions have unequal denominators, 11/3 plus 10/11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/3 and fraction 10/11 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 (11/3 x 33/33) + (10/11 x 33/33), and simplify further in order to have the common denominator. So the equivalent fraction for 11/3 is 121/33 and for 10/11 is 30/33. By simplifying this fraction addition 121/33 + 30/33, it becomes 151/33.

CALCULATION: 11/3 + 10/11 as a fraction
11/3 + 10/11 = (?)
11/3 + 10/11 = [(11 x 11) + (10 x 3)]/(3 x 11)
= (121 + 30)/33
= 151/33
11/3 + 10/11 = 151/33
11/3 plus 10/11 as a fraction is 151/33.

where
11/3 is a improper fraction as an addend,
10/11 is a proper fraction as an addend,
151/33 is the sum of 11/3 and 10/11.

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11/3 plus 10/11 as a decimal
11/3 + 10/11 = 151/33
151/33 = 4.5758
(11/3) + (10/11) as a decimal is 4.5758

where
4.5758 is the sum of 11/3 and 10/11.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/3 and 10/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/3 plus 10/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/3) + (10/11) using LCM Method:
What is 11/3 plus 10/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/3
Fraction B: 10/11

What to be found?
(11/3) + (10/11) = ?
Find what's the sum of 11/3 and 10/11.

step 2 Compare the denominators of fractions 11/3 and 10/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/3 and 10/11 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 11/3 and 10/11:
The LCM of 3 and 11 is 33.

step 4 Write the fractions 11/3 and 10/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/3 + 10/11
= [(11 x 33)/(3 x 33)] + [(10 x 33)/(11 x 33)]

step 5 Simplify the expression to have common denominator:
= 121/33 + 30/33

step 6 Take the common values out and rewrite the above expression like the below:
= 1/33 x (121/1 + 30/1)
= 1/33 x (121 + 30)

step 7Simplify the above expression further:
= 1/33 x 151
= 151/33
11/3 + 10/11 = 151/33

Hence,
11/3 plus 10/11 as a fraction is 151/33.

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11/3 + 10/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/3
Fraction B: 10/11

What to be found?
(11/3)+(10/11) = ?
Find what's the sum of 11/3 and 10/11.

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 (10 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:
= (11 x 11) + (10 x 3)/(3 x 11)

step 3 Simplify and rewrite the fraction:
= (121 + 30)/33
11/3 + 10/11 = 151/33

Hence,
11/3 plus 10/11 in fraction is 151/33