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Whats 5.84 repeating in simplest form

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x=5.848484...\qquad|\text{multiply both sides by 100}\\\\100x=584.848484...\\\\100x-x=584.848484...-5.848484...\\\\99x=579\qquad|\text{divide both sides by 99}\\\\x=(579)/(99)\\\\x=5(84)/(99)\\\\x=5(84:3)/(99:3)\\\\x=5(28)/(33)\\\\Answer:\ 5.\overline{84}=5(28)/(33)

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