Question

Express the following to the form $\frac{p}{q}$, where $p$ and $q$ are integers and $q\ne 0$.

$0.4\overline{7}$

Answer 1

$x=0.47777$

$100x=47.777$

$10x=4.777$

$90x=43$

$x=\frac{43}{90}$