Suppose f = 0.33... recurring
then 10*f = 3.33... recurring
Subtracting the first equation from the second,
9*f = 3
so f = 3/9 = 1/3.
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8/30 = 0.266... recurring.8/30 = 0.266... recurring.8/30 = 0.266... recurring.8/30 = 0.266... recurring.
34/60 = 0.566... recurring.34/60 = 0.566... recurring.34/60 = 0.566... recurring.34/60 = 0.566... recurring.
0.33333 recurring = 33.333% recurring
3.535353 is a recurring decimal.