Question

Express the recurring decimal $0.777$_____ in $p/q$ form

Answer 1

Let $x=0.\overline{7}$

So, $10x=7.\overline{7}$

$x=0.\overline{7}$

On subtracting we get,

$9x=7$

$⟹x=\frac{7}{9}=p/q$

Where $p=7$ and $q=9$