# [plt-scheme] fractions and decimals

Wonder if broadly adopting the convention that decimals terminated with a
zero (0), would be interpreted as an inexact number, otherwise considered
exact; would help unify the two worlds; (little fancier would be to
interpret ".." as an exact repeating input pattern, although not sure how
to reliably convert it into an exact fractional internal representation.
1 == 1 ; exact
1.0 == 1.0 ; inexact
0.125 == 1/8 ; exact
0.1250 == 0.1250 ; inexact
0.3.. == 1/3 ; exact
0.33 == 33/100 ; exact
0.3330 == 0.3330 ; inexact
Such if decimal outputs are specified as being preferred:
1/8 => 0.125 ; exact to the specified decimal precision.
0.125 => 0.125 ; exact to the specified decimal precision.
0.1250 => 0.1250 ; inexact to the specified decimal precision.
1/3 => 0.3.. ; exact to the specified decimal precision.
0.33 => 0.33 ; exact to the specified decimal precision.
0.3330 => 0.3330 ; inexact to the specified decimal precision.
Or if fractional output were specified as being preferred:
1/8 => 1/8 ; exact to the specified decimal precision.
0.125 => 1/8 ; exact to the specified decimal precision.
0.1250 => 0.1250 ; inexact to the specified decimal precision.
1/3 => 1/3 ; exact to the specified decimal precision.
0.3.. => 1/3 ; exact to the specified decimal precision.
0.33 => 33/100 ; exact to the specified decimal precision.
0.3330 => 0.3330 ; inexact to the specified decimal precision.
(where ".." would be replaced with an over-bar within DrScheme, but
copied to the clipboard as "..", to enable a successive pastes)
Which overall seems reasonably nice and simple,
-paul-