[tex]3.\ovwerline{24}\ \text{it's a rational number}\\\\\text{Convert it to the fraction:}\\\\x=3.242424...\qquad\text{multiply both sides by 100}\\\\100x=324.242424...\qquad\text{Make a difference}\\\\100x-x=324.242424...-3.242424...\\\\99x=321\qquad\text{divide both sides by 99}\\\\x=\dfrac{321:3}{99:3}\\\\x=\dfrac{107}{33}\\\\Answer:\ \boxed{3.\overline{24}=\dfrac{107}{33}=3\dfrac{8}{33}}[/tex]
