Another "rational" math question [fractions]

I have another, hopefully, easy math question...

How does one know if a decimal number can or cannot be turned into a
fraction?? And, can any decimal number be turned into a fraction if
the integer terms of the fraction are large enough??

I'm not getting it. Please help.
_______ _____ ___ __ __
Joseph Pehrson

On Sun, 10 Sep 2000, Joseph Pehrson wrote:

>
> I have another, hopefully, easy math question...
>
> How does one know if a decimal number can or cannot be turned into a
> fraction?? And, can any decimal number be turned into a fraction if
> the integer terms of the fraction are large enough??

A decimal number of the form xxxx.xxxxxxx ... can be turned into a
fraction if and only if one of the following is true:

1. The number of digits after the decimal point is finite.

OR

2. The digits to the right of the decimal point repeat themselves after a
certain point.

An example of the second case would be 3.14728121472812 ... the "1472812"
repeats.
--
znmeb@teleport.com (M. Edward Borasky) http://www.teleport.com/~znmeb

If they named a street after Picabo Street, would it be called Picabo
Street, Street Street or Picabo Street Street?

--- In tuning@egroups.com, <znmeb@t...> wrote:

http://www.egroups.com/message/tuning/12611

>
> A decimal number of the form xxxx.xxxxxxx ... can be turned into a
> fraction if and only if one of the following is true:
>
> 1. The number of digits after the decimal point is finite.
>
> OR
>
> 2. The digits to the right of the decimal point repeat themselves
after a certain point.
>
> An example of the second case would be 3.14728121472812 ... the
"1472812" repeats.
> --
> znmeb@t... (M. Edward Borasky) http://www.teleport.com/~znmeb
>
> If they named a street after Picabo Street, would it be called
Picabo Street, Street Street or Picabo Street Street?

Thank you so much, Ed. I really appreciate it! I guess I remember
learning this at some point... but it's a fog now!

__________ ____ ___ __ _
Joseph Pehrson

--- In tuning@egroups.com, "Joseph Pehrson" <
josephpehrson@c...> wrote:
> I have another, hopefully, easy math question...
>
> How does one know if a decimal number can or cannot be turned into
a
> fraction??

It can be turned into a fraction if the digits end in a
repeating cycle, e.g., 0.1234567567567567... is
rational.

> And, can any decimal number be turned into a fraction if
> the integer terms of the fraction are large enough??

Only approximately.