Question

Express $0.2\overline{37}$ in the form of $\frac{p}{q}$

Answer 1

Let $x=0.2\overline{37}10x=2.\overline{37}..............\left(1\right)1000x=237.\overline{37}..........\left(2\right)$

Subtracting (1) from (2)

$990x=235\Rightarrow x=\frac{235}{990}$