0.201 as a simplified fraction


Decimal to Fraction

Here we will show you how to convert 0.201 to a simplified fraction. In other words, we will convert the decimal number 0.201 to a fraction with a numerator and denominator in the simplest form possible.

You can divide any number by 1 without changing its value. Therefore, we start by making 0.201 the numerator and 1 the denominator, like this:

   
0.201
 
   
1

Next, we need to remove the decimal point in the numerator. We can do that by multiplying the numerator and denominator by 1000:

   
0.201 × 1000
 
   
1 × 1000

When we calculate the new numerator and denominator above, we get a fraction without a decimal point.

   
201
 
   
1000

The greatest common divisor of the numerator and denominator in the fraction above is 1. Therefore, we divide the numerator and the denominator by 1, like this:

   
201 ÷ 1
 
   
1000 ÷ 1

Then, when we calculate the numerator and denominator above, we get 0.201 as a simplified fraction:

   
201
 
   
1000

Note that the numerator is less than the denominator in 0.201 as a simplified fraction above. Therefore, the fraction is a proper fraction.


You can confirm that the 0.201 as a simplified fraction answer above is correct by dividing the numerator by the denominator. 201 divided by 1000 is in fact 0.201.

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