5/2 + 18 as a fraction

Learn how to find what is 5/2 plus 18 in fraction form just in a few minutes. We have covered the easiest method to write 5/2 + 18 as a fraction and decimal.

Summary: 5/2 plus 18 = 41/2
Since both fractions have unequal denominators, 5/2 plus 18 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/2 and fraction 18 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 1. 2 is the LCM of 2 and 1. Multiplying the LCM 2 with the numerators and denominators of both fractions (5/2 x 2/2) + (18 x 2/2), and simplify further in order to have the common denominator. So the equivalent fraction for 5/2 is 5/2 and for 18 is 36/2. By simplifying this fraction addition 5/2 + 36/2, it becomes 41/2.

CALCULATION: 5/2 + 18 as a fraction
5/2 + 18 = (?)
5/2 + 18/1 = [(5 x 1) + (18 x 2)]/(2 x 1)
= (5 + 36)/2
= 41/2
5/2 + 18 = 41/2
5/2 plus 18 as a fraction is 41/2.

where
5/2 is a improper fraction as an addend,
18 is a whole number as an addend,
41/2 is the sum of 5/2 and 18.

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5/2 plus 18 as a decimal
5/2 + 18 = 41/2
41/2 = 20.5
(5/2) + (18) as a decimal is 20.5

where
20.5 is the sum of 5/2 and 18.

The below workout with step by step calculation shows how to find the equivalent fraction between 5/2 and 18 by adding fraction to a whole number . The sum in fraction form for 5/2 plus 18/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(5/2) + (18) using LCM Method:
What is 5/2 plus 18 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/2
Fraction B: 18/1

What to be found?
(5/2) + (18) = ?
Find what's the sum of 5/2 and 18.

step 2 Compare the denominators of fractions 5/2 and 18 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/2 and 18 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 18:
The LCM of 2 and 1 is 2.

step 4 Write the fractions 5/2 and 18 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/2 + 18
= [(5 x 2)/(2 x 2)] + [(18 x 2)/(1 x 2)]

step 5 Simplify the expression to have common denominator:
= 5/2 + 36/2

step 6 Take the common values out and rewrite the above expression like the below:
= 1/2 x (5/1 + 36/1)
= 1/2 x (5 + 36)

step 7Simplify the above expression further:
= 1/2 x 41
= 41/2
5/2 + 18 = 41/2

Hence,
5/2 plus 18 as a fraction is 41/2.

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5/2 + 18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/2
Fraction B: 18/1

What to be found?
(5/2)+(18) = ?
Find what's the sum of 5/2 and 18.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 1), find the product of numerator of Fraction B and denominator of Fraction A (18 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 1) and rewrite the equation as like the below:
= (5 x 1) + (18 x 2)/(2 x 1)

step 3 Simplify and rewrite the fraction:
= (5 + 36)/2
5/2 + 18 = 41/2

Hence,
5/2 plus 18 in fraction is 41/2