11/4 + 5/12 as a fraction

Learn how to find what is 11/4 plus 5/12 in fraction form just in a few minutes. We have covered the easiest method to write 11/4 + 5/12 as a fraction and decimal.

Summary: 11/4 plus 5/12 = 19/6
Since both fractions have unequal denominators, 11/4 plus 5/12 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/4 and fraction 5/12 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 12. 12 is the LCM of 4 and 12. Multiplying the LCM 12 with the numerators and denominators of both fractions (11/4 x 12/12) + (5/12 x 12/12), and simplify further in order to have the common denominator. So the equivalent fraction for 11/4 is 33/12 and for 5/12 is 5/12. By simplifying this fraction addition 33/12 + 5/12, it becomes 38/12.

CALCULATION: 11/4 + 5/12 as a fraction
11/4 + 5/12 = (?)
11/4 + 5/12 = [(11 x 12) + (5 x 4)]/(4 x 12)
= (132 + 20)/48
= 152/48
= (8 x 19)/(8 x 6)
= 19/6
11/4 + 5/12 = 19/6
11/4 plus 5/12 as a fraction is 19/6.

where
11/4 is a improper fraction as an addend,
5/12 is a proper fraction as an addend,
19/6 is the sum of 11/4 and 5/12.

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11/4 plus 5/12 as a decimal
11/4 + 5/12 = 19/6
19/6 = 3.1667
(11/4) + (5/12) as a decimal is 3.1667

where
3.1667 is the sum of 11/4 and 5/12.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/4 and 5/12 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/4 plus 5/12 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/4) + (5/12) using LCM Method:
What is 11/4 plus 5/12 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/4
Fraction B: 5/12

What to be found?
(11/4) + (5/12) = ?
Find what's the sum of 11/4 and 5/12.

step 2 Compare the denominators of fractions 11/4 and 5/12 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/4 and 5/12 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 5/12:
The LCM of 4 and 12 is 12.

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

step 5 Simplify the expression to have common denominator:
= 33/12 + 5/12

step 6 Take the common values out and rewrite the above expression like the below:
= 1/12 x (33/1 + 5/1)
= 1/12 x (33 + 5)

step 7Simplify the above expression further:
= 1/12 x 38
= 38/12
= 19/6
11/4 + 5/12 = 19/6

Hence,
11/4 plus 5/12 as a fraction is 19/6.

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11/4 + 5/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/4
Fraction B: 5/12

What to be found?
(11/4)+(5/12) = ?
Find what's the sum of 11/4 and 5/12.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 12), find the product of numerator of Fraction B and denominator of Fraction A (5 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 12) and rewrite the equation as like the below:
= (11 x 12) + (5 x 4)/(4 x 12)

step 3 Simplify and rewrite the fraction:
= (132 + 20)/48
= 152/48
= 19/6
11/4 + 5/12 = 19/6

Hence,
11/4 plus 5/12 in fraction is 19/6