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

Visualize the representation of $2.6\overline{4}$ on the number line up to $5$ decimal places,that is,up to $2.64444$.

Write the number in short form: $3.8232323 \ldots$

Convert the following rational number into decimal form and state the kind of its decimal expansion: $\frac{25}{8}$

Calculate the sum: $0. \overline{3} + 0.4 \overline{7}$

You know that $\frac{1}{7} = 0.\overline{142857}$. Can you predict what the decimal expansions of $\frac{2}{7}, \frac{3}{7}, \frac{4}{7}, \frac{5}{7}, \frac{6}{7}$ are,without actually doing the long division? If so,how?