how do you convert 0.36... (the 6 is repeating) into a fraction in simplest form.

a = 0.3666 ... = 0.3(6) 10a = 3.(6) 100 a = 36.(6) 100a - 10a = 36.(6) - 3.(6) 90a = 33  [latex]a=\frac{33}{90}=\frac{11}{30}[/latex]