Question

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

Answer 1

a = 0.3666 ... = 0.3(6)

10a = 3.(6)
100 a = 36.(6)
100a - 10a = 36.(6) - 3.(6)
90a = 33 
$a=\frac{33}{90}=\frac{11}{30}$