1.254 as a simplified fraction


Decimal to Fraction

Here we will show you how to convert 1.254 to a simplified fraction. In other words, we will convert the decimal number 1.254 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 1.254 the numerator and 1 the denominator, like this:

   
1.254
 
   
1

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

   
1.254 × 1000
 
   
1 × 1000

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

   
1254
 
   
1000

The greatest common divisor of the numerator and denominator in the fraction above is 2. Therefore, we divide the numerator and the denominator by 2, like this:

   
1254 ÷ 2
 
   
1000 ÷ 2

Then, when we calculate the numerator and denominator above, we get 1.254 as a simplified fraction:

   
627
 
   
500

Note that the numerator is greater than the denominator in 1.254 as a simplified fraction above. Therefore, the fraction is an improper fraction.


You can confirm that the 1.254 as a simplified fraction answer above is correct by dividing the numerator by the denominator. 627 divided by 500 is in fact 1.254.

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