Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$ :
$0.2555 \ldots$
$\frac{33}{90}$
$\frac{23}{90}$
$\frac{44}{90}$
$\frac{23}{45}$
Find three different irrational numbers between the rational numbers $\frac{3}{4}$ and $\frac{4}{5}$.
Represent $\sqrt{5}$ on the number line.
Find the value
$64^{-\frac{1}{3}}\left(64^{\frac{1}{3}}-64^{\frac{2}{3}}\right)$
Show that $0.1 \overline{6}=\frac{1}{6}$
Express $1.23 \overline{4}$ in the form $\frac{p}{q} ;$ where $p$ and $q$ are integers and $q \neq 0$