0.333.... = 1/3
Method of conversion.
Let P = 0.3333.....
10P = 3.3333....
Subtract
9P = 3 ( NB The repeating decimals subtract to zero).
P = 3/9
Cancel down by '3'.
P = 1/3
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0.050505 repeating written as a fraction is 5/99
120/99
123/99
It is 22/9.
If it's a repeating decimal then as a fraction it is 16/99