12/1 + 5/11 as a fraction

Learn how to find what is 12/1 plus 5/11 in fraction form just in a few minutes. We have covered the easiest method to write 12/1 + 5/11 as a fraction and decimal.

Summary: 12/1 plus 5/11 = 137/11
Since both fractions have unequal denominators, 12/1 plus 5/11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 12/1 and fraction 5/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 11. 11 is the LCM of 1 and 11. Multiplying the LCM 11 with the numerators and denominators of both fractions (12/1 x 11/11) + (5/11 x 11/11), and simplify further in order to have the common denominator. So the equivalent fraction for 12/1 is 132/11 and for 5/11 is 5/11. By simplifying this fraction addition 132/11 + 5/11, it becomes 137/11.

CALCULATION: 12/1 + 5/11 as a fraction
12/1 + 5/11 = (?)
12/1 + 5/11 = [(12 x 11) + (5 x 1)]/(1 x 11)
= (132 + 5)/11
= 137/11
12/1 + 5/11 = 137/11
12/1 plus 5/11 as a fraction is 137/11.

where
12/1 is a improper fraction as an addend,
5/11 is a proper fraction as an addend,
137/11 is the sum of 12/1 and 5/11.

---

12/1 plus 5/11 as a decimal
12/1 + 5/11 = 137/11
137/11 = 12.4545
(12/1) + (5/11) as a decimal is 12.4545

where
12.4545 is the sum of 12/1 and 5/11.

The below workout with step by step calculation shows how to find the equivalent fraction between 12/1 and 5/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 12/1 plus 5/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(12/1) + (5/11) using LCM Method:
What is 12/1 plus 5/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/1
Fraction B: 5/11

What to be found?
(12/1) + (5/11) = ?
Find what's the sum of 12/1 and 5/11.

step 2 Compare the denominators of fractions 12/1 and 5/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 12/1 and 5/11 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 12/1 and 5/11:
The LCM of 1 and 11 is 11.

step 4 Write the fractions 12/1 and 5/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 12/1 + 5/11
= [(12 x 11)/(1 x 11)] + [(5 x 11)/(11 x 11)]

step 5 Simplify the expression to have common denominator:
= 132/11 + 5/11

step 6 Take the common values out and rewrite the above expression like the below:
= 1/11 x (132/1 + 5/1)
= 1/11 x (132 + 5)

step 7Simplify the above expression further:
= 1/11 x 137
= 137/11
12/1 + 5/11 = 137/11

Hence,
12/1 plus 5/11 as a fraction is 137/11.

---

12/1 + 5/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/1
Fraction B: 5/11

What to be found?
(12/1)+(5/11) = ?
Find what's the sum of 12/1 and 5/11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (12 x 11), find the product of numerator of Fraction B and denominator of Fraction A (5 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 11) and rewrite the equation as like the below:
= (12 x 11) + (5 x 1)/(1 x 11)

step 3 Simplify and rewrite the fraction:
= (132 + 5)/11
12/1 + 5/11 = 137/11

Hence,
12/1 plus 5/11 in fraction is 137/11