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Rewrite as a simplified fraction 1.6 <-- repeating=?
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Rewrite as a simplified fraction 1.6 <-- repeating=?

User Shahar Galukman
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1.6666...=1.\overline{6}=1.(6)\\\\x=1.6666...\ \ \ |multiply\ both\ sides\ by\ 10\\10x=16.6666...\\\\10x-x=16.6666...-1.6666...\\9x=15\ \ \ \ |divide\ both\ sides\ by\ 9\\\\x=(15)/(9)\\\\\boxed{x=1(6)/(9)}\\\\simplify\\\\x=1(6:3)/(9:3)=\boxed{1(2)/(3)}
User Nissim Nanach
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