Oh honey, it's simple math. To write 18.18 repeating as a fraction, you gotta take the repeating part and put it over 9 times the number of digits it has. So, 18.18 repeating becomes 1818/99. Voila!
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0.050505 repeating written as a fraction is 5/99
123/99
120/99
It is 22/9.
If it's a repeating decimal then as a fraction it is 16/99