2/3 - 3/2 as a fraction

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

Summary: 2/3 minus 3/2 = -5/6
Since both fractions have unequal denominators, 2/3 minus 3/2 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/3 and fraction 3/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 2. 6 is the LCM of 3 and 2. Multiplying the LCM 6 with the numerators and denominators of both fractions (2/3 x 6/6) - (3/2 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 2/3 is 4/6 and for 3/2 is 9/6. By simplifying this fraction subtraction 4/6 - 9/6, it becomes -5/6.

CALCULATION: 2/3 - 3/2 as a fraction
2/3 - 3/2 = (?)
2/3 - 3/2 = [(2 x 2) - (3 x 3)]/(3 x 2)
= (4 - 9)/6
= -5/6
2/3 - 3/2 = -5/6
2/3 minus 3/2 as a fraction is -5/6.

where
2/3 is a proper fraction as a minuend,
3/2 is a improper fraction as a subtrahend,
-5/6 is the difference between 2/3 and 3/2.

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2/3 minus 3/2 as a decimal
2/3 - 3/2 = -5/6
-5/6 = -0.8333
(2/3) - (3/2) as a decimal is -0.8333

where
-0.8333 is the difference between 2/3 and 3/2.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/2 from 2/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/3 minus 3/2.
1. LCM method
2. Cross multiplication method.

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

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

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

step 2 Compare the denominators of fractions 2/3 and 3/2 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/3 and 3/2 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 2/3 and 3/2:
The LCM of 3 and 2 is 6.

step 4 Write the fractions 2/3 and 3/2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/3 - 3/2
= [(2 x 6)/(3 x 6)] - [(3 x 6)/(2 x 6)]

step 5 Simplify the expression to have common denominator:
= 4/6 - 9/6

step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (4/1 - 9/1)
= 1/6 x (4 - 9)

step 7Simplify the above expression further:
= 1/6 x -5
= -5/6
2/3 - 3/2 = -5/6

Hence,
2/3 minus 3/2 as a fraction is -5/6.

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

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

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

step 3 Simplify and rewrite the fraction:
= (4 - 9)/6
2/3 - 3/2 = -5/6

Hence,
2/3 minus 3/2 in fraction is -5/6