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What is 0.16, 6 repeating as a fraction?
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What is 0.16, 6 repeating as a fraction?

User Chiko
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x=0.1666...\ \ \ \ |multiply\ both\ sides\ by\ 10\\\\10x=1.666...\ \ \ |multiply\ both\ sides\ by\ 10\\\\100x=16.666....\\\\100x-10x=16.666...-1.666...\\\\90x=15\ \ \ \ |divide\ both\ sides\ by\ 90\\\\x=(15)/(90)\\\\x=(1)/(6)\\\\\\Answer:\boxed{0.1666...=(1)/(6)}
User Psysky
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