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.

(In reply to A little mistake by Chesca Ciprian)

True. My original intention was to write the above expression in conformity with the other comments.

However, a typographical anomaly on my part, in writing n instead of 10^n, dictated otherwise.

Accordingly, I confirm having corrected the foregoing lacuna in my original post.   

Edited on September 28, 2007, 7:30 am

Posted by K Sengupta on 2007-09-28 07:28:07