Express $0.12 \overline{3}$ in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$
Rationalise the denominator of the following:
$\frac{2}{3 \sqrt{3}}$
Find five rational numbers between $\frac{2}{7}$ and $\frac{2}{5}$
In each of the following numbers rationalise the denominator
$\frac{30}{5 \sqrt{3}-3 \sqrt{5}}$
Rationalise the denominator in each of the following and hence evaluate by taking $\sqrt{2}=1.414, \sqrt{3}=1.732$ and $\sqrt{5}=2.236,$ upto three places of decimal.
$\frac{\sqrt{10}-\sqrt{5}}{2}$