0.509 as a fraction




What is 0.509 as a fraction? What is 0.509 as a fraction in lowest term? What does it mean to convert 0.509 to a fraction? It means that you want to convert the decimal number .509 to a fraction with a numerator (N) and denominator (D). In other words, you want to solve this equation:

  .509  = 
   
N
 
   
D
 
   

Here we will not only clearly explain how to get the answer to 0.509 as a fraction, but also prove to you that our answer is correct.

First, note that 1000 multiplied by .509 will get rid of the decimal point. Therefore, make a fraction where the numerator is .509 times 1000 and denominator is 1000 like this:

   
.509 x 1000
 
   
1000

Next, multiply the numbers in the numerator together and keep the denominator as is. Now our fraction looks like this:

   
509
 
   
1000

The greatest common factor of 509 and 1000 is 1, which means you can divide the numerator and denominator by 1 and keep the same value:

   
509 ÷ 1
 
   
1000 ÷ 1

And when calculating the numerator and denominator in our fraction above, we get .509 as a fraction in the simplest form possible:

  .509  = 
   
509
 
   
1000
 
   


A numerator over a denominator in a fraction is the same as numerator divided by denominator. If you enter 509 divided by 1000 on your calculator, you will see that the answer is 0.509. Therefore, we know that the answer above is correct.

Decimal as a Fraction Calculator
Now you know that .509 as a fraction is 509/1000. Here you can submit another decimal number for us to convert to a fraction.

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.50901 as a fraction
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