Consider the rational number which in decimal form is .12345345345345...
It begins with two non-repeating digits followed by a block of 3 digits which repeats.

For the generalized repeating decimal .[a][b][b][b][b]...
Where [a] has n digits and [b] has m digits.

Find a general way to transform it into a rational number of the form p/r.

                 b
        a + ----------
  p          10^m - 1
 --- = ----------------
  r          10^n

Posted by Bractals on 2007-09-26 12:52:24