6/5 - 3/2 as a fraction

Learn how to find what is 6/5 minus 3/2 in fraction form just in a few minutes. We have covered the easiest method to write 6/5 - 3/2 as a fraction and decimal.

Summary: 6/5 minus 3/2 = -3/10
Since both fractions have unequal denominators, 6/5 minus 3/2 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 6/5 and fraction 3/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 2. 10 is the LCM of 5 and 2. Multiplying the LCM 10 with the numerators and denominators of both fractions (6/5 x 10/10) - (3/2 x 10/10), and simplify further in order to have the common denominator. So the equivalent fraction for 6/5 is 12/10 and for 3/2 is 15/10. By simplifying this fraction subtraction 12/10 - 15/10, it becomes -3/10.

CALCULATION: 6/5 - 3/2 as a fraction
6/5 - 3/2 = (?)
6/5 - 3/2 = [(6 x 2) - (3 x 5)]/(5 x 2)
= (12 - 15)/10
= -3/10
6/5 - 3/2 = -3/10
6/5 minus 3/2 as a fraction is -3/10.

where
6/5 is a improper fraction as a minuend,
3/2 is a improper fraction as a subtrahend,
-3/10 is the difference between 6/5 and 3/2.

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6/5 minus 3/2 as a decimal
6/5 - 3/2 = -3/10
-3/10 = -0.3
(6/5) - (3/2) as a decimal is -0.3

where
-0.3 is the difference between 6/5 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 6/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 6/5 minus 3/2.
1. LCM method
2. Cross multiplication method.

(6/5) - (3/2) using LCM Method:
What is 6/5 minus 3/2 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/5
Fraction B: 3/2

What to be found?
(6/5) - (3/2) = ?
Find what's the difference between 6/5 and 3/2.

step 2 Compare the denominators of fractions 6/5 and 3/2 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 6/5 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 6/5 and 3/2:
The LCM of 5 and 2 is 10.

step 4 Write the fractions 6/5 and 3/2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 6/5 - 3/2
= [(6 x 10)/(5 x 10)] - [(3 x 10)/(2 x 10)]

step 5 Simplify the expression to have common denominator:
= 12/10 - 15/10

step 6 Take the common values out and rewrite the above expression like the below:
= 1/10 x (12/1 - 15/1)
= 1/10 x (12 - 15)

step 7Simplify the above expression further:
= 1/10 x -3
= -3/10
6/5 - 3/2 = -3/10

Hence,
6/5 minus 3/2 as a fraction is -3/10.

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6/5 - 3/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/5
Fraction B: 3/2

What to be found?
(6/5)-(3/2) = ?
Find what's the difference between 6/5 and 3/2.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 2), find the product of numerator of Fraction B and denominator of Fraction A (3 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 2) and rewrite the equation as like the below:
= (6 x 2) - (3 x 5)/(5 x 2)

step 3 Simplify and rewrite the fraction:
= (12 - 15)/10
6/5 - 3/2 = -3/10

Hence,
6/5 minus 3/2 in fraction is -3/10