[tex]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=\dfrac{579}{99}\\\\x=5\dfrac{84}{99}\\\\x=5\dfrac{84:3}{99:3}\\\\x=5\dfrac{28}{33}\\\\Answer:\ 5.\overline{84}=5\dfrac{28}{33}[/tex]
