12/5 + 1/4 as a fraction

Learn how to find what is 12/5 plus 1/4 in fraction form just in a few minutes. We have covered the easiest method to write 12/5 + 1/4 as a fraction and decimal.

Summary: 12/5 plus 1/4 = 53/20
Since both fractions have unequal denominators, 12/5 plus 1/4 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 12/5 and fraction 1/4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 4. 20 is the LCM of 5 and 4. Multiplying the LCM 20 with the numerators and denominators of both fractions (12/5 x 20/20) + (1/4 x 20/20), and simplify further in order to have the common denominator. So the equivalent fraction for 12/5 is 48/20 and for 1/4 is 5/20. By simplifying this fraction addition 48/20 + 5/20, it becomes 53/20.

CALCULATION: 12/5 + 1/4 as a fraction
12/5 + 1/4 = (?)
12/5 + 1/4 = [(12 x 4) + (1 x 5)]/(5 x 4)
= (48 + 5)/20
= 53/20
12/5 + 1/4 = 53/20
12/5 plus 1/4 as a fraction is 53/20.

where
12/5 is a improper fraction as an addend,
1/4 is a proper fraction as an addend,
53/20 is the sum of 12/5 and 1/4.

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12/5 plus 1/4 as a decimal
12/5 + 1/4 = 53/20
53/20 = 2.65
(12/5) + (1/4) as a decimal is 2.65

where
2.65 is the sum of 12/5 and 1/4.

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

(12/5) + (1/4) using LCM Method:
What is 12/5 plus 1/4 as a fraction?

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

What to be found?
(12/5) + (1/4) = ?
Find what's the sum of 12/5 and 1/4.

step 2 Compare the denominators of fractions 12/5 and 1/4 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 12/5 and 1/4 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 12/5 and 1/4:
The LCM of 5 and 4 is 20.

step 4 Write the fractions 12/5 and 1/4 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 12/5 + 1/4
= [(12 x 20)/(5 x 20)] + [(1 x 20)/(4 x 20)]

step 5 Simplify the expression to have common denominator:
= 48/20 + 5/20

step 6 Take the common values out and rewrite the above expression like the below:
= 1/20 x (48/1 + 5/1)
= 1/20 x (48 + 5)

step 7Simplify the above expression further:
= 1/20 x 53
= 53/20
12/5 + 1/4 = 53/20

Hence,
12/5 plus 1/4 as a fraction is 53/20.

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

What to be found?
(12/5)+(1/4) = ?
Find what's the sum of 12/5 and 1/4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (12 x 4), find the product of numerator of Fraction B and denominator of Fraction A (1 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 4) and rewrite the equation as like the below:
= (12 x 4) + (1 x 5)/(5 x 4)

step 3 Simplify and rewrite the fraction:
= (48 + 5)/20
12/5 + 1/4 = 53/20

Hence,
12/5 plus 1/4 in fraction is 53/20