Consider this:
x = 0.1515151515 ...
100x = 15.151515...
100x - x = 99x = 15.
x = 15/99.
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.015 as a fraction is 15/1000. In simplified form it is 3/200.
17/99
0.75 recurring written as a fraction is 25/33
0.1717 recurring written as a fraction is 17/99
If it is a recurring decimal then its fraction is 1/9