18/5 - 9 as a fraction

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

Summary: 18/5 minus 9 = -27/5
Since both fractions have unequal denominators, 18/5 minus 9 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 18/5 and fraction 9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 1. 5 is the LCM of 5 and 1. Multiplying the LCM 5 with the numerators and denominators of both fractions (18/5 x 5/5) - (9 x 5/5), and simplify further in order to have the common denominator. So the equivalent fraction for 18/5 is 18/5 and for 9 is 45/5. By simplifying this fraction subtraction 18/5 - 45/5, it becomes -27/5.

CALCULATION: 18/5 - 9 as a fraction
18/5 - 9 = (?)
18/5 - 9/1 = [(18 x 1) - (9 x 5)]/(5 x 1)
= (18 - 45)/5
= -27/5
18/5 - 9 = -27/5
18/5 minus 9 as a fraction is -27/5.

where
18/5 is a improper fraction as a minuend,
9 is a whole number as a subtrahend,
-27/5 is the difference between 18/5 and 9.

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18/5 minus 9 as a decimal
18/5 - 9 = -27/5
-27/5 = -5.4
(18/5) - (9) as a decimal is -5.4

where
-5.4 is the difference between 18/5 and 9.

The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 9 from 18/5. use any one of the following methods to find the equivalent fraction for 18/5 minus 9.
1. LCM method
2. Cross multiplication method.

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

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

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

step 2 Compare the denominators of fractions 18/5 and 9 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 18/5 and 9 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:
The LCM of 5 and 1 is 5.

step 4 Write the fractions 18/5 and 9 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 18/5 - 9
= [(18 x 5)/(5 x 5)] - [(9 x 5)/(1 x 5)]

step 5 Simplify the expression to have common denominator:
= 18/5 - 45/5

step 6 Take the common values out and rewrite the above expression like the below:
= 1/5 x (18/1 - 45/1)
= 1/5 x (18 - 45)

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

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

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (18 x 1), 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 1) and rewrite the equation as like the below:
= (18 x 1) - (9 x 5)/(5 x 1)

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

Hence,
18/5 minus 9 in fraction is -27/5