Explanation:
1/33
1/3 is 0.33333....
1/30 is 0.03333...
1/300 is 0.003333...
and so on.
that was in the initial thought.
in oder to interrupt the 1/3=0.3333... series and interlace the 3s with 0s, I had to divide by 10, but also by further 10% (in total 11) of that to create a 0.0303 sequence.
I initially thought that I would have to add then 10% of that and then 10% if that, but no, the one step is sufficient.
so, it turned out to be 1/3 / 11 = 1/33.