2/5 - 9/10 as a fraction

Learn how to find what is 2/5 minus 9/10 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 - 9/10 as a fraction and decimal.

Summary: 2/5 minus 9/10 = -1/2
Since both fractions have unequal denominators, 2/5 minus 9/10 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/5 and fraction 9/10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 10. 10 is the LCM of 5 and 10. Multiplying the LCM 10 with the numerators and denominators of both fractions (2/5 x 10/10) - (9/10 x 10/10), and simplify further in order to have the common denominator. So the equivalent fraction for 2/5 is 4/10 and for 9/10 is 9/10. By simplifying this fraction subtraction 4/10 - 9/10, it becomes -5/10.

CALCULATION: 2/5 - 9/10 as a fraction
2/5 - 9/10 = (?)
2/5 - 9/10 = [(2 x 10) - (9 x 5)]/(5 x 10)
= (20 - 45)/50
= -25/50
= (25 x -1)/(25 x 2)
= -1/2
2/5 - 9/10 = -1/2
2/5 minus 9/10 as a fraction is -1/2.

where
2/5 is a proper fraction as a minuend,
9/10 is a proper fraction as a subtrahend,
-1/2 is the difference between 2/5 and 9/10.

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2/5 minus 9/10 as a decimal
2/5 - 9/10 = -1/2
-1/2 = -0.5
(2/5) - (9/10) as a decimal is -0.5

where
-0.5 is the difference between 2/5 and 9/10.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 9/10 from 2/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/5 minus 9/10.
1. LCM method
2. Cross multiplication method.

(2/5) - (9/10) using LCM Method:
What is 2/5 minus 9/10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 9/10

What to be found?
(2/5) - (9/10) = ?
Find what's the difference between 2/5 and 9/10.

step 2 Compare the denominators of fractions 2/5 and 9/10 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/5 and 9/10 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 2/5 and 9/10:
The LCM of 5 and 10 is 10.

step 4 Write the fractions 2/5 and 9/10 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/5 - 9/10
= [(2 x 10)/(5 x 10)] - [(9 x 10)/(10 x 10)]

step 5 Simplify the expression to have common denominator:
= 4/10 - 9/10

step 6 Take the common values out and rewrite the above expression like the below:
= 1/10 x (4/1 - 9/1)
= 1/10 x (4 - 9)

step 7Simplify the above expression further:
= 1/10 x -5
= -5/10
= -1/2
2/5 - 9/10 = -1/2

Hence,
2/5 minus 9/10 as a fraction is -1/2.

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2/5 - 9/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 9/10

What to be found?
(2/5)-(9/10) = ?
Find what's the difference between 2/5 and 9/10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 10), find the product of numerator of Fraction B and denominator of Fraction A (9 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 10) and rewrite the equation as like the below:
= (2 x 10) - (9 x 5)/(5 x 10)

step 3 Simplify and rewrite the fraction:
= (20 - 45)/50
= -25/50
= -1/2
2/5 - 9/10 = -1/2

Hence,
2/5 minus 9/10 in fraction is -1/2