15/4 + 5/2 as a fraction

Learn how to find what is 15/4 plus 5/2 in fraction form just in a few minutes. We have covered the easiest method to write 15/4 + 5/2 as a fraction and decimal.

Summary: 15/4 plus 5/2 = 25/4
Since both fractions have unequal denominators, 15/4 plus 5/2 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 15/4 and fraction 5/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 2. 4 is the LCM of 4 and 2. Multiplying the LCM 4 with the numerators and denominators of both fractions (15/4 x 4/4) + (5/2 x 4/4), and simplify further in order to have the common denominator. So the equivalent fraction for 15/4 is 15/4 and for 5/2 is 10/4. By simplifying this fraction addition 15/4 + 10/4, it becomes 25/4.

CALCULATION: 15/4 + 5/2 as a fraction
15/4 + 5/2 = (?)
15/4 + 5/2 = [(15 x 2) + (5 x 4)]/(4 x 2)
= (30 + 20)/8
= 50/8
= (2 x 25)/(2 x 4)
= 25/4
15/4 + 5/2 = 25/4
15/4 plus 5/2 as a fraction is 25/4.

where
15/4 is a improper fraction as an addend,
5/2 is a improper fraction as an addend,
25/4 is the sum of 15/4 and 5/2.

---

15/4 plus 5/2 as a decimal
15/4 + 5/2 = 25/4
25/4 = 6.25
(15/4) + (5/2) as a decimal is 6.25

where
6.25 is the sum of 15/4 and 5/2.

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

(15/4) + (5/2) using LCM Method:
What is 15/4 plus 5/2 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/4
Fraction B: 5/2

What to be found?
(15/4) + (5/2) = ?
Find what's the sum of 15/4 and 5/2.

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

step 4 Write the fractions 15/4 and 5/2 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15/4 + 5/2
= [(15 x 4)/(4 x 4)] + [(5 x 4)/(2 x 4)]

step 5 Simplify the expression to have common denominator:
= 15/4 + 10/4

step 6 Take the common values out and rewrite the above expression like the below:
= 1/4 x (15/1 + 10/1)
= 1/4 x (15 + 10)

step 7Simplify the above expression further:
= 1/4 x 25
= 25/4
15/4 + 5/2 = 25/4

Hence,
15/4 plus 5/2 as a fraction is 25/4.

---

15/4 + 5/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/4
Fraction B: 5/2

What to be found?
(15/4)+(5/2) = ?
Find what's the sum of 15/4 and 5/2.

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

step 3 Simplify and rewrite the fraction:
= (30 + 20)/8
= 50/8
= 25/4
15/4 + 5/2 = 25/4

Hence,
15/4 plus 5/2 in fraction is 25/4