Phil H
Posts:
49
Registered:
4/13/10


Re: Can a fraction have none noneending and nonerepeating decimal representation?
Posted:
Jul 31, 2013 3:50 PM


On Tuesday, July 30, 2013 8:23:26 AM UTC7, jonas.t...@gmail.com wrote: > Den tisdagen den 30:e juli 2013 kl. 17:12:38 UTC+2 skrev jonas.t...@gmail.com: > > > Can a fraction have none noneending and nonerepeating decimal representation? > > > > I was thinking that is seem that the choice of base to represent fractions, can lead to nonending repetive patterns, but can they also be none repetive? > > > > I guess not, but a rounding error calculating Pi could easily transform a perfectly rational fraction to irrational, isn't that true?
No, rounding will only convert an irrational into a rational and not the other way around. Or convert one rational into another rational. Example: 22/7 rounds to 3.142. Pi rounds to 3.142. 3.142 is a rational number being 3142/100 or 1571/50.

