11/2 + 3/11 as a fraction

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

Summary: 11/2 plus 3/11 = 127/22
Since both fractions have unequal denominators, 11/2 plus 3/11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/2 and fraction 3/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 11. 22 is the LCM of 2 and 11. Multiplying the LCM 22 with the numerators and denominators of both fractions (11/2 x 22/22) + (3/11 x 22/22), and simplify further in order to have the common denominator. So the equivalent fraction for 11/2 is 121/22 and for 3/11 is 6/22. By simplifying this fraction addition 121/22 + 6/22, it becomes 127/22.

CALCULATION: 11/2 + 3/11 as a fraction
11/2 + 3/11 = (?)
11/2 + 3/11 = [(11 x 11) + (3 x 2)]/(2 x 11)
= (121 + 6)/22
= 127/22
11/2 + 3/11 = 127/22
11/2 plus 3/11 as a fraction is 127/22.

where
11/2 is a improper fraction as an addend,
3/11 is a proper fraction as an addend,
127/22 is the sum of 11/2 and 3/11.

---

11/2 plus 3/11 as a decimal
11/2 + 3/11 = 127/22
127/22 = 5.7727
(11/2) + (3/11) as a decimal is 5.7727

where
5.7727 is the sum of 11/2 and 3/11.

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

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

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

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

step 2 Compare the denominators of fractions 11/2 and 3/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/2 and 3/11 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 11/2 and 3/11:
The LCM of 2 and 11 is 22.

step 4 Write the fractions 11/2 and 3/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/2 + 3/11
= [(11 x 22)/(2 x 22)] + [(3 x 22)/(11 x 22)]

step 5 Simplify the expression to have common denominator:
= 121/22 + 6/22

step 6 Take the common values out and rewrite the above expression like the below:
= 1/22 x (121/1 + 6/1)
= 1/22 x (121 + 6)

step 7Simplify the above expression further:
= 1/22 x 127
= 127/22
11/2 + 3/11 = 127/22

Hence,
11/2 plus 3/11 as a fraction is 127/22.

---

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

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

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

step 3 Simplify and rewrite the fraction:
= (121 + 6)/22
11/2 + 3/11 = 127/22

Hence,
11/2 plus 3/11 in fraction is 127/22