3/2 - 2 as a fraction

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

Summary: 3/2 minus 2 = -1/2
Since both fractions have unequal denominators, 3/2 minus 2 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/2 and fraction 2 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 (3/2 x 2/2) - (2 x 2/2), and simplify further in order to have the common denominator. So the equivalent fraction for 3/2 is 3/2 and for 2 is 4/2. By simplifying this fraction subtraction 3/2 - 4/2, it becomes -1/2.

CALCULATION: 3/2 - 2 as a fraction
3/2 - 2 = (?)
3/2 - 2/1 = [(3 x 1) - (2 x 2)]/(2 x 1)
= (3 - 4)/2
= -1/2
3/2 - 2 = -1/2
3/2 minus 2 as a fraction is -1/2.

where
3/2 is a improper fraction as a minuend,
2 is a whole number as a subtrahend,
-1/2 is the difference between 3/2 and 2.

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3/2 minus 2 as a decimal
3/2 - 2 = -1/2
-1/2 = -0.5
(3/2) - (2) as a decimal is -0.5

where
-0.5 is the difference between 3/2 and 2.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 3/2 - 4/2

step 6 Take the common values out and rewrite the above expression like the below:
= 1/2 x (3/1 - 4/1)
= 1/2 x (3 - 4)

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

Hence,
3/2 minus 2 as a fraction is -1/2.

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 1), find the product of numerator of Fraction B and denominator of Fraction A (2 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:
= (3 x 1) - (2 x 2)/(2 x 1)

step 3 Simplify and rewrite the fraction:
= (3 - 4)/2
3/2 - 2 = -1/2

Hence,
3/2 minus 2 in fraction is -1/2