18/5 + 1/20 as a fraction

Learn how to find what is 18/5 plus 1/20 in fraction form just in a few minutes. We have covered the easiest method to write 18/5 + 1/20 as a fraction and decimal.

Summary: 18/5 plus 1/20 = 73/20
Since both fractions have unequal denominators, 18/5 plus 1/20 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 18/5 and fraction 1/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 20. 20 is the LCM of 5 and 20. Multiplying the LCM 20 with the numerators and denominators of both fractions (18/5 x 20/20) + (1/20 x 20/20), and simplify further in order to have the common denominator. So the equivalent fraction for 18/5 is 72/20 and for 1/20 is 1/20. By simplifying this fraction addition 72/20 + 1/20, it becomes 73/20.

CALCULATION: 18/5 + 1/20 as a fraction
18/5 + 1/20 = (?)
18/5 + 1/20 = [(18 x 20) + (1 x 5)]/(5 x 20)
= (360 + 5)/100
= 365/100
= (5 x 73)/(5 x 20)
= 73/20
18/5 + 1/20 = 73/20
18/5 plus 1/20 as a fraction is 73/20.

where
18/5 is a improper fraction as an addend,
1/20 is a proper fraction as an addend,
73/20 is the sum of 18/5 and 1/20.

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18/5 plus 1/20 as a decimal
18/5 + 1/20 = 73/20
73/20 = 3.65
(18/5) + (1/20) as a decimal is 3.65

where
3.65 is the sum of 18/5 and 1/20.

The below workout with step by step calculation shows how to find the equivalent fraction between 18/5 and 1/20 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 18/5 plus 1/20 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(18/5) + (1/20) using LCM Method:
What is 18/5 plus 1/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/5
Fraction B: 1/20

What to be found?
(18/5) + (1/20) = ?
Find what's the sum of 18/5 and 1/20.

step 2 Compare the denominators of fractions 18/5 and 1/20 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 18/5 and 1/20 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 18/5 and 1/20:
The LCM of 5 and 20 is 20.

step 4 Write the fractions 18/5 and 1/20 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 18/5 + 1/20
= [(18 x 20)/(5 x 20)] + [(1 x 20)/(20 x 20)]

step 5 Simplify the expression to have common denominator:
= 72/20 + 1/20

step 6 Take the common values out and rewrite the above expression like the below:
= 1/20 x (72/1 + 1/1)
= 1/20 x (72 + 1)

step 7Simplify the above expression further:
= 1/20 x 73
= 73/20
18/5 + 1/20 = 73/20

Hence,
18/5 plus 1/20 as a fraction is 73/20.

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18/5 + 1/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/5
Fraction B: 1/20

What to be found?
(18/5)+(1/20) = ?
Find what's the sum of 18/5 and 1/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (18 x 20), find the product of numerator of Fraction B and denominator of Fraction A (1 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 20) and rewrite the equation as like the below:
= (18 x 20) + (1 x 5)/(5 x 20)

step 3 Simplify and rewrite the fraction:
= (360 + 5)/100
= 365/100
= 73/20
18/5 + 1/20 = 73/20

Hence,
18/5 plus 1/20 in fraction is 73/20