Question

Convert 3.3636 to a fraction.

the .3636 is repeating

Answer 1

`x=3.363636...\qquad\text{multiply both sides by 100}\\\\100x=336.363636...\qquad\text{Make a difference}\\\\100x-x=336.363636...-3.363636...\\\\99x=333\qquad\text{divide both sides by 99}\\\\x=(333:9)/(99:9)\\\\\boxed{x=(37)/(11)}\\\\Answer:\ \boxed{3.\overline{36}=(37)/(11)=3(4)/(11)}`