3/2 + 12/11 as a fraction

Learn how to find what is 3/2 plus 12/11 in fraction form just in a few minutes. We have covered the easiest method to write 3/2 + 12/11 as a fraction and decimal.

Summary: 3/2 plus 12/11 = 57/22
Since both fractions have unequal denominators, 3/2 plus 12/11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 3/2 and fraction 12/11 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 (3/2 x 22/22) + (12/11 x 22/22), and simplify further in order to have the common denominator. So the equivalent fraction for 3/2 is 33/22 and for 12/11 is 24/22. By simplifying this fraction addition 33/22 + 24/22, it becomes 57/22.

CALCULATION: 3/2 + 12/11 as a fraction
3/2 + 12/11 = (?)
3/2 + 12/11 = [(3 x 11) + (12 x 2)]/(2 x 11)
= (33 + 24)/22
= 57/22
3/2 + 12/11 = 57/22
3/2 plus 12/11 as a fraction is 57/22.

where
3/2 is a improper fraction as an addend,
12/11 is a improper fraction as an addend,
57/22 is the sum of 3/2 and 12/11.

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3/2 plus 12/11 as a decimal
3/2 + 12/11 = 57/22
57/22 = 2.5909
(3/2) + (12/11) as a decimal is 2.5909

where
2.5909 is the sum of 3/2 and 12/11.

The below workout with step by step calculation shows how to find the equivalent fraction between 3/2 and 12/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/2 plus 12/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(3/2) + (12/11) using LCM Method:
What is 3/2 plus 12/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/2
Fraction B: 12/11

What to be found?
(3/2) + (12/11) = ?
Find what's the sum of 3/2 and 12/11.

step 2 Compare the denominators of fractions 3/2 and 12/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/2 and 12/11 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 3/2 and 12/11:
The LCM of 2 and 11 is 22.

step 4 Write the fractions 3/2 and 12/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/2 + 12/11
= [(3 x 22)/(2 x 22)] + [(12 x 22)/(11 x 22)]

step 5 Simplify the expression to have common denominator:
= 33/22 + 24/22

step 6 Take the common values out and rewrite the above expression like the below:
= 1/22 x (33/1 + 24/1)
= 1/22 x (33 + 24)

step 7Simplify the above expression further:
= 1/22 x 57
= 57/22
3/2 + 12/11 = 57/22

Hence,
3/2 plus 12/11 as a fraction is 57/22.

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3/2 + 12/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/2
Fraction B: 12/11

What to be found?
(3/2)+(12/11) = ?
Find what's the sum of 3/2 and 12/11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 11), find the product of numerator of Fraction B and denominator of Fraction A (12 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:
= (3 x 11) + (12 x 2)/(2 x 11)

step 3 Simplify and rewrite the fraction:
= (33 + 24)/22
3/2 + 12/11 = 57/22

Hence,
3/2 plus 12/11 in fraction is 57/22