5/2 + 3/5 as a fraction

Learn how to find what is 5/2 plus 3/5 in fraction form just in a few minutes. We have covered the easiest method to write 5/2 + 3/5 as a fraction and decimal.

Summary: 5/2 plus 3/5 = 31/10
Since both fractions have unequal denominators, 5/2 plus 3/5 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/2 and fraction 3/5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 5. 10 is the LCM of 2 and 5. Multiplying the LCM 10 with the numerators and denominators of both fractions (5/2 x 10/10) + (3/5 x 10/10), and simplify further in order to have the common denominator. So the equivalent fraction for 5/2 is 25/10 and for 3/5 is 6/10. By simplifying this fraction addition 25/10 + 6/10, it becomes 31/10.

CALCULATION: 5/2 + 3/5 as a fraction
5/2 + 3/5 = (?)
5/2 + 3/5 = [(5 x 5) + (3 x 2)]/(2 x 5)
= (25 + 6)/10
= 31/10
5/2 + 3/5 = 31/10
5/2 plus 3/5 as a fraction is 31/10.

where
5/2 is a improper fraction as an addend,
3/5 is a proper fraction as an addend,
31/10 is the sum of 5/2 and 3/5.

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5/2 plus 3/5 as a decimal
5/2 + 3/5 = 31/10
31/10 = 3.1
(5/2) + (3/5) as a decimal is 3.1

where
3.1 is the sum of 5/2 and 3/5.

The below workout with step by step calculation shows how to find the equivalent fraction between 5/2 and 3/5 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/2 plus 3/5 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(5/2) + (3/5) using LCM Method:
What is 5/2 plus 3/5 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/2
Fraction B: 3/5

What to be found?
(5/2) + (3/5) = ?
Find what's the sum of 5/2 and 3/5.

step 2 Compare the denominators of fractions 5/2 and 3/5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/2 and 3/5 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 5/2 and 3/5:
The LCM of 2 and 5 is 10.

step 4 Write the fractions 5/2 and 3/5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/2 + 3/5
= [(5 x 10)/(2 x 10)] + [(3 x 10)/(5 x 10)]

step 5 Simplify the expression to have common denominator:
= 25/10 + 6/10

step 6 Take the common values out and rewrite the above expression like the below:
= 1/10 x (25/1 + 6/1)
= 1/10 x (25 + 6)

step 7Simplify the above expression further:
= 1/10 x 31
= 31/10
5/2 + 3/5 = 31/10

Hence,
5/2 plus 3/5 as a fraction is 31/10.

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5/2 + 3/5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/2
Fraction B: 3/5

What to be found?
(5/2)+(3/5) = ?
Find what's the sum of 5/2 and 3/5.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 5), find the product of numerator of Fraction B and denominator of Fraction A (3 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 5) and rewrite the equation as like the below:
= (5 x 5) + (3 x 2)/(2 x 5)

step 3 Simplify and rewrite the fraction:
= (25 + 6)/10
5/2 + 3/5 = 31/10

Hence,
5/2 plus 3/5 in fraction is 31/10