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x = 15.7121212...
10x = 157.121212... (I)
1000x = 15712.121212... (ii)
Eq (ii) - (I)
1000x - 10x = 15712.121212...-157.121212...
990x = 15555
x = 15555/990 = 3111/198 = 1037/66
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