15/4 + 12/5 as a fraction

Learn how to find what is 15/4 plus 12/5 in fraction form just in a few minutes. We have covered the easiest method to write 15/4 + 12/5 as a fraction and decimal.

Summary: 15/4 plus 12/5 = 123/20
Since both fractions have unequal denominators, 15/4 plus 12/5 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 15/4 and fraction 12/5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 5. 20 is the LCM of 4 and 5. Multiplying the LCM 20 with the numerators and denominators of both fractions (15/4 x 20/20) + (12/5 x 20/20), and simplify further in order to have the common denominator. So the equivalent fraction for 15/4 is 75/20 and for 12/5 is 48/20. By simplifying this fraction addition 75/20 + 48/20, it becomes 123/20.

CALCULATION: 15/4 + 12/5 as a fraction
15/4 + 12/5 = (?)
15/4 + 12/5 = [(15 x 5) + (12 x 4)]/(4 x 5)
= (75 + 48)/20
= 123/20
15/4 + 12/5 = 123/20
15/4 plus 12/5 as a fraction is 123/20.

where
15/4 is a improper fraction as an addend,
12/5 is a improper fraction as an addend,
123/20 is the sum of 15/4 and 12/5.

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15/4 plus 12/5 as a decimal
15/4 + 12/5 = 123/20
123/20 = 6.15
(15/4) + (12/5) as a decimal is 6.15

where
6.15 is the sum of 15/4 and 12/5.

The below workout with step by step calculation shows how to find the equivalent fraction between 15/4 and 12/5 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 15/4 plus 12/5 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(15/4) + (12/5) using LCM Method:
What is 15/4 plus 12/5 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/4
Fraction B: 12/5

What to be found?
(15/4) + (12/5) = ?
Find what's the sum of 15/4 and 12/5.

step 2 Compare the denominators of fractions 15/4 and 12/5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 15/4 and 12/5 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 15/4 and 12/5:
The LCM of 4 and 5 is 20.

step 4 Write the fractions 15/4 and 12/5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15/4 + 12/5
= [(15 x 20)/(4 x 20)] + [(12 x 20)/(5 x 20)]

step 5 Simplify the expression to have common denominator:
= 75/20 + 48/20

step 6 Take the common values out and rewrite the above expression like the below:
= 1/20 x (75/1 + 48/1)
= 1/20 x (75 + 48)

step 7Simplify the above expression further:
= 1/20 x 123
= 123/20
15/4 + 12/5 = 123/20

Hence,
15/4 plus 12/5 as a fraction is 123/20.

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15/4 + 12/5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/4
Fraction B: 12/5

What to be found?
(15/4)+(12/5) = ?
Find what's the sum of 15/4 and 12/5.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (15 x 5), find the product of numerator of Fraction B and denominator of Fraction A (12 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 5) and rewrite the equation as like the below:
= (15 x 5) + (12 x 4)/(4 x 5)

step 3 Simplify and rewrite the fraction:
= (75 + 48)/20
15/4 + 12/5 = 123/20

Hence,
15/4 plus 12/5 in fraction is 123/20