Question

What is the rational number equivalent to 3.24 repeating

Answer 1

3 with 8 over 33

Explanation:

Answer 2

`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=(321:3)/(99:3)\\\\x=(107)/(33)\\\\Answer:\ \boxed{3.\overline{24}=(107)/(33)=3(8)/(33)}`