9/2 - 3 as a fraction

Learn how to find what is 9/2 minus 3 in fraction form just in a few minutes. We have covered the easiest method to write 9/2 - 3 as a fraction and decimal.

Summary: 9/2 minus 3 = 3/2
Since both fractions have unequal denominators, 9/2 minus 3 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 9/2 and fraction 3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 1. 2 is the LCM of 2 and 1. Multiplying the LCM 2 with the numerators and denominators of both fractions (9/2 x 2/2) - (3 x 2/2), and simplify further in order to have the common denominator. So the equivalent fraction for 9/2 is 9/2 and for 3 is 6/2. By simplifying this fraction subtraction 9/2 - 6/2, it becomes 3/2.

CALCULATION: 9/2 - 3 as a fraction
9/2 - 3 = (?)
9/2 - 3/1 = [(9 x 1) - (3 x 2)]/(2 x 1)
= (9 - 6)/2
= 3/2
9/2 - 3 = 3/2
9/2 minus 3 as a fraction is 3/2.

where
9/2 is a improper fraction as a minuend,
3 is a whole number as a subtrahend,
3/2 is the difference between 9/2 and 3.

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9/2 minus 3 as a decimal
9/2 - 3 = 3/2
3/2 = 1.5
(9/2) - (3) as a decimal is 1.5

where
1.5 is the difference between 9/2 and 3.

The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 3 from 9/2. use any one of the following methods to find the equivalent fraction for 9/2 minus 3.
1. LCM method
2. Cross multiplication method.

(9/2) - (3) using LCM Method:
What is 9/2 minus 3 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/2
Fraction B: 3/1

What to be found?
(9/2) - (3) = ?
Find what's the difference between 9/2 and 3.

step 2 Compare the denominators of fractions 9/2 and 3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9/2 and 3 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 9/2 and 3:
The LCM of 2 and 1 is 2.

step 4 Write the fractions 9/2 and 3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/2 - 3
= [(9 x 2)/(2 x 2)] - [(3 x 2)/(1 x 2)]

step 5 Simplify the expression to have common denominator:
= 9/2 - 6/2

step 6 Take the common values out and rewrite the above expression like the below:
= 1/2 x (9/1 - 6/1)
= 1/2 x (9 - 6)

step 7Simplify the above expression further:
= 1/2 x 3
= 3/2
9/2 - 3 = 3/2

Hence,
9/2 minus 3 as a fraction is 3/2.

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9/2 - 3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/2
Fraction B: 3/1

What to be found?
(9/2)-(3) = ?
Find what's the difference between 9/2 and 3.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 1), find the product of numerator of Fraction B and denominator of Fraction A (3 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 1) and rewrite the equation as like the below:
= (9 x 1) - (3 x 2)/(2 x 1)

step 3 Simplify and rewrite the fraction:
= (9 - 6)/2
9/2 - 3 = 3/2

Hence,
9/2 minus 3 in fraction is 3/2