5/4 - 2/5 as a fraction

Learn how to find what is 5/4 minus 2/5 in fraction form just in a few minutes. We have covered the easiest method to write 5/4 - 2/5 as a fraction and decimal.

Summary: 5/4 minus 2/5 = 17/20
Since both fractions have unequal denominators, 5/4 minus 2/5 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/4 and fraction 2/5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 5. 20 is the LCM of 4 and 5. Multiplying the LCM 20 with the numerators and denominators of both fractions (5/4 x 20/20) - (2/5 x 20/20), and simplify further in order to have the common denominator. So the equivalent fraction for 5/4 is 25/20 and for 2/5 is 8/20. By simplifying this fraction subtraction 25/20 - 8/20, it becomes 17/20.

Pie Chart Representation: 5/4 - 2/5 = 17/20

CALCULATION: 5/4 - 2/5 as a fraction
5/4 - 2/5 = (?)
5/4 - 2/5 = [(5 x 5) - (2 x 4)]/(4 x 5)
= (25 - 8)/20
= 17/20
5/4 - 2/5 = 17/20
5/4 minus 2/5 as a fraction is 17/20.

where
5/4 is a improper fraction as a minuend,
2/5 is a proper fraction as a subtrahend,
17/20 is the difference between 5/4 and 2/5.

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5/4 minus 2/5 as a decimal
5/4 - 2/5 = 17/20
17/20 = 0.85
(5/4) - (2/5) as a decimal is 0.85

where
0.85 is the difference between 5/4 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 5/4. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/4 minus 2/5.
1. LCM method
2. Cross multiplication method.

(5/4) - (2/5) using LCM Method:
What is 5/4 minus 2/5 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/4
Fraction B: 2/5

What to be found?
(5/4) - (2/5) = ?
Find what's the difference between 5/4 and 2/5.

step 2 Compare the denominators of fractions 5/4 and 2/5 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/4 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 5/4 and 2/5:
The LCM of 4 and 5 is 20.

step 4 Write the fractions 5/4 and 2/5 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/4 - 2/5
= [(5 x 20)/(4 x 20)] - [(2 x 20)/(5 x 20)]

step 5 Simplify the expression to have common denominator:
= 25/20 - 8/20

step 6 Take the common values out and rewrite the above expression like the below:
= 1/20 x (25/1 - 8/1)
= 1/20 x (25 - 8)

step 7Simplify the above expression further:
= 1/20 x 17
= 17/20
5/4 - 2/5 = 17/20

Hence,
5/4 minus 2/5 as a fraction is 17/20.

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5/4 - 2/5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/4
Fraction B: 2/5

What to be found?
(5/4)-(2/5) = ?
Find what's the difference between 5/4 and 2/5.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 5), find the product of numerator of Fraction B and denominator of Fraction A (2 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 5) and rewrite the equation as like the below:
= (5 x 5) - (2 x 4)/(4 x 5)

step 3 Simplify and rewrite the fraction:
= (25 - 8)/20
5/4 - 2/5 = 17/20

Hence,
5/4 minus 2/5 in fraction is 17/20