18/5 - 9/4 as a fraction

Learn how to find what is 18/5 minus 9/4 in fraction form just in a few minutes. We have covered the easiest method to write 18/5 - 9/4 as a fraction and decimal.

Summary: 18/5 minus 9/4 = 27/20
Since both fractions have unequal denominators, 18/5 minus 9/4 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 18/5 and fraction 9/4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 4. 20 is the LCM of 5 and 4. Multiplying the LCM 20 with the numerators and denominators of both fractions (18/5 x 20/20) - (9/4 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 9/4 is 45/20. By simplifying this fraction subtraction 72/20 - 45/20, it becomes 27/20.

CALCULATION: 18/5 - 9/4 as a fraction
18/5 - 9/4 = (?)
18/5 - 9/4 = [(18 x 4) - (9 x 5)]/(5 x 4)
= (72 - 45)/20
= 27/20
18/5 - 9/4 = 27/20
18/5 minus 9/4 as a fraction is 27/20.

where
18/5 is a improper fraction as a minuend,
9/4 is a improper fraction as a subtrahend,
27/20 is the difference between 18/5 and 9/4.

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18/5 minus 9/4 as a decimal
18/5 - 9/4 = 27/20
27/20 = 1.35
(18/5) - (9/4) as a decimal is 1.35

where
1.35 is the difference between 18/5 and 9/4.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 9/4 from 18/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 18/5 minus 9/4.
1. LCM method
2. Cross multiplication method.

(18/5) - (9/4) using LCM Method:
What is 18/5 minus 9/4 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/5
Fraction B: 9/4

What to be found?
(18/5) - (9/4) = ?
Find what's the difference between 18/5 and 9/4.

step 2 Compare the denominators of fractions 18/5 and 9/4 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 18/5 and 9/4 are not equal, it is said to be unlike fractions subtraction.

step 3For unlike fractions subtraction, find the LCM (least common multiple) of both denominators of fractions 18/5 and 9/4:
The LCM of 5 and 4 is 20.

step 4 Write the fractions 18/5 and 9/4 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 18/5 - 9/4
= [(18 x 20)/(5 x 20)] - [(9 x 20)/(4 x 20)]

step 5 Simplify the expression to have common denominator:
= 72/20 - 45/20

step 6 Take the common values out and rewrite the above expression like the below:
= 1/20 x (72/1 - 45/1)
= 1/20 x (72 - 45)

step 7Simplify the above expression further:
= 1/20 x 27
= 27/20
18/5 - 9/4 = 27/20

Hence,
18/5 minus 9/4 as a fraction is 27/20.

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18/5 - 9/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/5
Fraction B: 9/4

What to be found?
(18/5)-(9/4) = ?
Find what's the difference between 18/5 and 9/4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (18 x 4), find the product of numerator of Fraction B and denominator of Fraction A (9 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 4) and rewrite the equation as like the below:
= (18 x 4) - (9 x 5)/(5 x 4)

step 3 Simplify and rewrite the fraction:
= (72 - 45)/20
18/5 - 9/4 = 27/20

Hence,
18/5 minus 9/4 in fraction is 27/20