Question

Prove that 11\30 is non terminating repeating decimal

Answer 1

1
$\frac{11}{30} = \frac{11}{10 \times 3} \\ = \frac{11}{10} \times \frac{1}{3} \\ = 0.1 \times 0.3333333.... \\ = 0.0333333333.... \\ \\ it \: is \: non \: terminating \: repeating \: type$