17/4 - 18 as a fraction

Learn how to find what is 17/4 minus 18 in fraction form just in a few minutes. We have covered the easiest method to write 17/4 - 18 as a fraction and decimal.

Summary: 17/4 minus 18 = -55/4
Since both fractions have unequal denominators, 17/4 minus 18 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 17/4 and fraction 18 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 1. 4 is the LCM of 4 and 1. Multiplying the LCM 4 with the numerators and denominators of both fractions (17/4 x 4/4) - (18 x 4/4), and simplify further in order to have the common denominator. So the equivalent fraction for 17/4 is 17/4 and for 18 is 72/4. By simplifying this fraction subtraction 17/4 - 72/4, it becomes -55/4.

CALCULATION: 17/4 - 18 as a fraction
17/4 - 18 = (?)
17/4 - 18/1 = [(17 x 1) - (18 x 4)]/(4 x 1)
= (17 - 72)/4
= -55/4
17/4 - 18 = -55/4
17/4 minus 18 as a fraction is -55/4.

where
17/4 is a improper fraction as a minuend,
18 is a whole number as a subtrahend,
-55/4 is the difference between 17/4 and 18.

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17/4 minus 18 as a decimal
17/4 - 18 = -55/4
-55/4 = -13.75
(17/4) - (18) as a decimal is -13.75

where
-13.75 is the difference between 17/4 and 18.

The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 18 from 17/4. use any one of the following methods to find the equivalent fraction for 17/4 minus 18.
1. LCM method
2. Cross multiplication method.

(17/4) - (18) using LCM Method:
What is 17/4 minus 18 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/4
Fraction B: 18/1

What to be found?
(17/4) - (18) = ?
Find what's the difference between 17/4 and 18.

step 2 Compare the denominators of fractions 17/4 and 18 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 17/4 and 18 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 17/4 and 18:
The LCM of 4 and 1 is 4.

step 4 Write the fractions 17/4 and 18 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/4 - 18
= [(17 x 4)/(4 x 4)] - [(18 x 4)/(1 x 4)]

step 5 Simplify the expression to have common denominator:
= 17/4 - 72/4

step 6 Take the common values out and rewrite the above expression like the below:
= 1/4 x (17/1 - 72/1)
= 1/4 x (17 - 72)

step 7Simplify the above expression further:
= 1/4 x -55
= -55/4
17/4 - 18 = -55/4

Hence,
17/4 minus 18 as a fraction is -55/4.

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17/4 - 18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/4
Fraction B: 18/1

What to be found?
(17/4)-(18) = ?
Find what's the difference between 17/4 and 18.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 1), find the product of numerator of Fraction B and denominator of Fraction A (18 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 1) and rewrite the equation as like the below:
= (17 x 1) - (18 x 4)/(4 x 1)

step 3 Simplify and rewrite the fraction:
= (17 - 72)/4
17/4 - 18 = -55/4

Hence,
17/4 minus 18 in fraction is -55/4