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How do you convert 0.16 (6 repeating) to a fraction?

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x=0.1\overline{6}\\10x=1.\overline{6}\\100x=16.\overline{6}\\100x-10x=16.\overline{6}-1.\overline{6}\\90x=15\\x=(15)/(90)=(1)/(6)

User Aryeh Leib Taurog
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