Let f = 0.666...Then 10*f = 6.666...
Subtracting the first from the second gives 9*f = 6
So that f = 6/9.
You can simplify that if you wish.
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.06 = 3/50 as a fraction in its simplest form
If that's 0.6, it equals 3/5
.06 and 6/100
It would be 0.0666666666, and the sixes will go on for ever, but to shorten it you would put .06 with a line over the six.
3 over 50 in decimal form is .06.