Rounded Fraction of Pi

Date: 10/10/2001 at 22:55:23
From: Tim
Subject: The rounded fraction of pi

I just want like 20 digits into pi. What would the fraction (division 
problem) be for that?

Date: 10/11/2001 at 10:51:44
From: Doctor Ian
Subject: Re: The rounded fraction of pi

Hi Tim,

Let's start with two digits:  

  3.14 = 3 14/100

       = 3 7/50

       = 157/50

would be the approximation for that.  Let's add a few more digits:

  3.1415 = 3  1415/10000

         = 3  283/2000

         = 6283/2000

Do you see the pattern? Start with as many digits as you like. Break 
the part after the decimal point into a fraction where the denominator 
is a power of 10. Simplify the fraction, if you can. Then convert back 
to an improper fraction.

You can do this for any number of digits that you like.

Does this help? 

- Doctor Ian, The Math Forum
  http://mathforum.org/dr.math/   

Date: 10/11/2001 at 14:14:21
From: Timmy Huff
Subject: Re: The rounded fraction of pi

Thank you very much. This helps a lot.
Timothy