0.4375 as a fraction




What is 0.4375 as a fraction? What is 0.4375 as a fraction in lowest term? What does it mean to convert 0.4375 to a fraction? It means that you want to convert the decimal number .4375 to a fraction with a numerator (N) and denominator (D). In other words, you want to solve this equation:

  .4375  = 
   
N
 
   
D
 
   

Here we will not only clearly explain how to get the answer to 0.4375 as a fraction, but also prove to you that our answer is correct.

First, note that 10000 multiplied by .4375 will get rid of the decimal point. Therefore, make a fraction where the numerator is .4375 times 10000 and denominator is 10000 like this:

   
.4375 x 10000
 
   
10000

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

   
4375
 
   
10000

The greatest common factor of 4375 and 10000 is 625, which means you can divide the numerator and denominator by 625 and keep the same value:

   
4375 ÷ 625
 
   
10000 ÷ 625

And when calculating the numerator and denominator in our fraction above, we get .4375 as a fraction in the simplest form possible:

  .4375  = 
   
7
 
   
16
 
   


A numerator over a denominator in a fraction is the same as numerator divided by denominator. If you enter 7 divided by 16 on your calculator, you will see that the answer is 0.4375. Therefore, we know that the answer above is correct.

Decimal as a Fraction Calculator
Now you know that .4375 as a fraction is 7/16. Here you can submit another decimal number for us to convert to a fraction.

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