0
Let P = 0.161616...
Hence
100 P = 16.161616....
Subtract
99P = 16 ( Note the recurring decimals to infinity subtract out).
P = 16/99
However, if you mean
0.166666....
Then
10P = 1.66666....
&
100P = 16.6666...
Subtract
90P = 15
P = 15/90
P = 1/6
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