3/2 - 2/5 as a fraction

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

Summary: 3/2 minus 2/5 = 11/10
Since both fractions have unequal denominators, 3/2 minus 2/5 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/2 and fraction 2/5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 5. 10 is the LCM of 2 and 5. Multiplying the LCM 10 with the numerators and denominators of both fractions (3/2 x 10/10) - (2/5 x 10/10), and simplify further in order to have the common denominator. So the equivalent fraction for 3/2 is 15/10 and for 2/5 is 4/10. By simplifying this fraction subtraction 15/10 - 4/10, it becomes 11/10.

CALCULATION: 3/2 - 2/5 as a fraction
3/2 - 2/5 = (?)
3/2 - 2/5 = [(3 x 5) - (2 x 2)]/(2 x 5)
= (15 - 4)/10
= 11/10
3/2 - 2/5 = 11/10
3/2 minus 2/5 as a fraction is 11/10.

where
3/2 is a improper fraction as a minuend,
2/5 is a proper fraction as a subtrahend,
11/10 is the difference between 3/2 and 2/5.

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3/2 minus 2/5 as a decimal
3/2 - 2/5 = 11/10
11/10 = 1.1
(3/2) - (2/5) as a decimal is 1.1

where
1.1 is the difference between 3/2 and 2/5.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/5 from 3/2. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/2 minus 2/5.
1. LCM method
2. Cross multiplication method.

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 15/10 - 4/10

step 6 Take the common values out and rewrite the above expression like the below:
= 1/10 x (15/1 - 4/1)
= 1/10 x (15 - 4)

step 7Simplify the above expression further:
= 1/10 x 11
= 11/10
3/2 - 2/5 = 11/10

Hence,
3/2 minus 2/5 as a fraction is 11/10.

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

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

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

step 3 Simplify and rewrite the fraction:
= (15 - 4)/10
3/2 - 2/5 = 11/10

Hence,
3/2 minus 2/5 in fraction is 11/10