Question

Express the decimals in the from of $\frac{p}{q}$ :
$0.\overline{37}$

Answer 1

Let $y=0.\overline{37}..................\left(1\right)100y=37.\overline{37}................\left(2\right)$

Subtracting (1) from (2)

$99y=37\Rightarrow y=\frac{37}{99}$