$\frac{180 \times 15 - 12 \times 20}{140 \times 8 + 2 \times 55} = ?$

If $1$ is added to the denominator of a fraction,the fraction becomes $\frac{1}{2}$. If $1$ is added to the numerator of the fraction,the fraction becomes $1$. The fraction is

The denominator of a fraction is $3$ more than the numerator. If the numerator as well as the denominator is increased by $4,$ the fraction becomes $\frac{4}{5}$. What was the original fraction?

Which of the following statement$(s)$ is/are $TRUE$?
$I.$ $33^{3} > 3^{33}$
$II.$ $333 > (3^{3})^{3}$

$\frac{\frac{64}{121}-\frac{9}{64}}{\frac{8}{11}+\frac{3}{8}} = ?$

$2+\sqrt{2}+\frac{1}{2+\sqrt{2}}+\frac{1}{\sqrt{2}-2}=?$