0.4004 as a fraction




What is 0.4004 as a fraction? What is 0.4004 as a fraction in lowest term? What does it mean to convert 0.4004 to a fraction? It means that you want to convert the decimal number .4004 to a fraction with a numerator (N) and denominator (D). In other words, you want to solve this equation:

  .4004  = 
   
N
 
   
D
 
   

Here we will not only clearly explain how to get the answer to 0.4004 as a fraction, but also prove to you that our answer is correct.

First, note that 10000 multiplied by .4004 will get rid of the decimal point. Therefore, make a fraction where the numerator is .4004 times 10000 and denominator is 10000 like this:

   
.4004 x 10000
 
   
10000

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

   
4004
 
   
10000

The greatest common factor of 4004 and 10000 is 4, which means you can divide the numerator and denominator by 4 and keep the same value:

   
4004 ÷ 4
 
   
10000 ÷ 4

And when calculating the numerator and denominator in our fraction above, we get .4004 as a fraction in the simplest form possible:

  .4004  = 
   
1001
 
   
2500
 
   


A numerator over a denominator in a fraction is the same as numerator divided by denominator. If you enter 1001 divided by 2500 on your calculator, you will see that the answer is 0.4004. Therefore, we know that the answer above is correct.

Decimal as a Fraction Calculator
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.40041 as a fraction
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