Repeating decimal, part 2
Number Theory
Level
2
\[0.\overline{00010203040506\ldots 969799}=\frac{1}{N}\]
Given that \(N\) is a 4-digit integer, find \(N\).
Clarification: The repeated digits are from 00, 01, 02, ..., till 99, without 98, the period is 198.
by
Chan Lye Lee