Express $0.\overline{27}$ in the $\frac{p}{q}$ form.

The number obtained on rationalizing the denominator of $\frac{1}{7-\sqrt{2}}$ is

Write the following in decimal form and state what kind of decimal expansion each has:
$\frac{121}{400}$

For each question,select the proper option from four options given,to make the statement true: $\sqrt{5} \times \sqrt{5}$ is a / an $\ldots \ldots \ldots$ number.

The decimal expansion of the number $\sqrt{2}$ is

Find three rational numbers between $\frac{2}{3}$ and $\frac{4}{5}$.