ok, i'm new here, so i thought i'd show you something neat
but first of all, my notation - when I mean a number is recurring (going on forever, the recurring part will be in bold.
(for example - 0.9 means 0.9999999... 0.42 means 0.4242424242... and 0.4567 means 0.4567567567...)
if you wish to express a number as a fraction, you can use this simple trick:
0.43 as a fraction:
first call the number I
so I = 0.43
therefore 100I = 43.43
if 100I - I = 99I,
and 100I - I = 43.43 - 0.43 = 43,
then 99I = 43
/99, and I = 43/99!
nice! well, here's the neat part: say we wanted to express 0.9
so,
0.9 as a fraction:
first call the number I
so I = 0.9
therefore 100I = 99.9
if 100I - I = 99I,
and 100I - I = 99.9 - 0.9 = 99,
then 99I = 99
/99, and I = 1
so 0.9 = 1
discuss.