Is $0.3\overline{7}$ a rational number or an irrational number?

What can the maximum number of digits be in the repeating block of digits in the decimal expansion of $\frac{1}{17}$?

Fill in the blanks to make the following statement true: The decimal expansion of $\frac{47}{50}$ is of $\ldots \ldots \ldots$ type.

Represent $3.\overline{42}$ on the number line, using successive magnification, up to $4$ decimal places.

Represent $5.4949$ on the number line,using successive magnification,up to $4$ decimal places.

Write the following in decimal form and state what kind of decimal expansion each has:
$(i)$ $\frac{36}{100}$
$(ii)$ $\frac{1}{11}$
$(iii)$ $4 \frac{1}{8}$
$(iv)$ $\frac{3}{13}$
$(v)$ $\frac{2}{11}$
$(vi)$ $\frac{329}{400}$