Question

Express the decimals in the from of $\frac{p}{q}$ :
$0.4\overline{7}$

Answer 1

Let $y=0.4\overline{7}...............\left(1\right)10y=4.\overline{7}...............\left(2\right)100y=47.\overline{7}.............\left(3\right)$

Subtracting (2) from (3)

$90y=43\Rightarrow y=\frac{43}{90}$