11/4 + 4/11 as a fraction

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

Summary: 11/4 plus 4/11 = 137/44
Since both fractions have unequal denominators, 11/4 plus 4/11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/4 and fraction 4/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 11. 44 is the LCM of 4 and 11. Multiplying the LCM 44 with the numerators and denominators of both fractions (11/4 x 44/44) + (4/11 x 44/44), and simplify further in order to have the common denominator. So the equivalent fraction for 11/4 is 121/44 and for 4/11 is 16/44. By simplifying this fraction addition 121/44 + 16/44, it becomes 137/44.

CALCULATION: 11/4 + 4/11 as a fraction
11/4 + 4/11 = (?)
11/4 + 4/11 = [(11 x 11) + (4 x 4)]/(4 x 11)
= (121 + 16)/44
= 137/44
11/4 + 4/11 = 137/44
11/4 plus 4/11 as a fraction is 137/44.

where
11/4 is a improper fraction as an addend,
4/11 is a proper fraction as an addend,
137/44 is the sum of 11/4 and 4/11.

---

11/4 plus 4/11 as a decimal
11/4 + 4/11 = 137/44
137/44 = 3.1136
(11/4) + (4/11) as a decimal is 3.1136

where
3.1136 is the sum of 11/4 and 4/11.

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

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

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

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

step 2 Compare the denominators of fractions 11/4 and 4/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/4 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 11/4 and 4/11:
The LCM of 4 and 11 is 44.

step 4 Write the fractions 11/4 and 4/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/4 + 4/11
= [(11 x 44)/(4 x 44)] + [(4 x 44)/(11 x 44)]

step 5 Simplify the expression to have common denominator:
= 121/44 + 16/44

step 6 Take the common values out and rewrite the above expression like the below:
= 1/44 x (121/1 + 16/1)
= 1/44 x (121 + 16)

step 7Simplify the above expression further:
= 1/44 x 137
= 137/44
11/4 + 4/11 = 137/44

Hence,
11/4 plus 4/11 as a fraction is 137/44.

---

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

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

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

step 3 Simplify and rewrite the fraction:
= (121 + 16)/44
11/4 + 4/11 = 137/44

Hence,
11/4 plus 4/11 in fraction is 137/44