14/5 + 5/2 as a fraction

Learn how to find what is 14/5 plus 5/2 in fraction form just in a few minutes. We have covered the easiest method to write 14/5 + 5/2 as a fraction and decimal.

Summary: 14/5 plus 5/2 = 53/10
Since both fractions have unequal denominators, 14/5 plus 5/2 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 14/5 and fraction 5/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 2. 10 is the LCM of 5 and 2. Multiplying the LCM 10 with the numerators and denominators of both fractions (14/5 x 10/10) + (5/2 x 10/10), and simplify further in order to have the common denominator. So the equivalent fraction for 14/5 is 28/10 and for 5/2 is 25/10. By simplifying this fraction addition 28/10 + 25/10, it becomes 53/10.

CALCULATION: 14/5 + 5/2 as a fraction
14/5 + 5/2 = (?)
14/5 + 5/2 = [(14 x 2) + (5 x 5)]/(5 x 2)
= (28 + 25)/10
= 53/10
14/5 + 5/2 = 53/10
14/5 plus 5/2 as a fraction is 53/10.

where
14/5 is a improper fraction as an addend,
5/2 is a improper fraction as an addend,
53/10 is the sum of 14/5 and 5/2.

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14/5 plus 5/2 as a decimal
14/5 + 5/2 = 53/10
53/10 = 5.3
(14/5) + (5/2) as a decimal is 5.3

where
5.3 is the sum of 14/5 and 5/2.

The below workout with step by step calculation shows how to find the equivalent fraction between 14/5 and 5/2 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 14/5 plus 5/2 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(14/5) + (5/2) using LCM Method:
What is 14/5 plus 5/2 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/5
Fraction B: 5/2

What to be found?
(14/5) + (5/2) = ?
Find what's the sum of 14/5 and 5/2.

step 2 Compare the denominators of fractions 14/5 and 5/2 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 14/5 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 14/5 and 5/2:
The LCM of 5 and 2 is 10.

step 4 Write the fractions 14/5 and 5/2 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 14/5 + 5/2
= [(14 x 10)/(5 x 10)] + [(5 x 10)/(2 x 10)]

step 5 Simplify the expression to have common denominator:
= 28/10 + 25/10

step 6 Take the common values out and rewrite the above expression like the below:
= 1/10 x (28/1 + 25/1)
= 1/10 x (28 + 25)

step 7Simplify the above expression further:
= 1/10 x 53
= 53/10
14/5 + 5/2 = 53/10

Hence,
14/5 plus 5/2 as a fraction is 53/10.

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14/5 + 5/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/5
Fraction B: 5/2

What to be found?
(14/5)+(5/2) = ?
Find what's the sum of 14/5 and 5/2.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (14 x 2), find the product of numerator of Fraction B and denominator of Fraction A (5 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 2) and rewrite the equation as like the below:
= (14 x 2) + (5 x 5)/(5 x 2)

step 3 Simplify and rewrite the fraction:
= (28 + 25)/10
14/5 + 5/2 = 53/10

Hence,
14/5 plus 5/2 in fraction is 53/10