9/4 - 5/18 as a fraction

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

Summary: 9/4 minus 5/18 = 71/36
Since both fractions have unequal denominators, 9/4 minus 5/18 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 9/4 and fraction 5/18 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 18. 36 is the LCM of 4 and 18. Multiplying the LCM 36 with the numerators and denominators of both fractions (9/4 x 36/36) - (5/18 x 36/36), and simplify further in order to have the common denominator. So the equivalent fraction for 9/4 is 81/36 and for 5/18 is 10/36. By simplifying this fraction subtraction 81/36 - 10/36, it becomes 71/36.

CALCULATION: 9/4 - 5/18 as a fraction
9/4 - 5/18 = (?)
9/4 - 5/18 = [(9 x 18) - (5 x 4)]/(4 x 18)
= (162 - 20)/72
= 142/72
= (2 x 71)/(2 x 36)
= 71/36
9/4 - 5/18 = 71/36
9/4 minus 5/18 as a fraction is 71/36.

where
9/4 is a improper fraction as a minuend,
5/18 is a proper fraction as a subtrahend,
71/36 is the difference between 9/4 and 5/18.

---

9/4 minus 5/18 as a decimal
9/4 - 5/18 = 71/36
71/36 = 1.9722
(9/4) - (5/18) as a decimal is 1.9722

where
1.9722 is the difference between 9/4 and 5/18.

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

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

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

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

step 2 Compare the denominators of fractions 9/4 and 5/18 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9/4 and 5/18 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 9/4 and 5/18:
The LCM of 4 and 18 is 36.

step 4 Write the fractions 9/4 and 5/18 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/4 - 5/18
= [(9 x 36)/(4 x 36)] - [(5 x 36)/(18 x 36)]

step 5 Simplify the expression to have common denominator:
= 81/36 - 10/36

step 6 Take the common values out and rewrite the above expression like the below:
= 1/36 x (81/1 - 10/1)
= 1/36 x (81 - 10)

step 7Simplify the above expression further:
= 1/36 x 71
= 71/36
9/4 - 5/18 = 71/36

Hence,
9/4 minus 5/18 as a fraction is 71/36.

---

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

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

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

step 3 Simplify and rewrite the fraction:
= (162 - 20)/72
= 142/72
= 71/36
9/4 - 5/18 = 71/36

Hence,
9/4 minus 5/18 in fraction is 71/36