Without actual division, determine if the following rational number has a terminating decimal representation or not.

$\frac{5}{21}$

Without actual division, check whether the following rational number can be expressed as non-terminating repeating decimals or not.

$\frac{4}{9}$

Without actual division, check whether the following rational number can be expressed as non-terminating repeating decimals or not.

Without actual division, check whether the following rational number can be expressed as non-terminating repeating decimals or not.

Without actual division, check whether the following rational number can be expressed as non-terminating repeating decimals or not.

Without actual division, check whether the following rational number can be expressed as non-terminating repeating decimals or not.

Without actual division, check whether the following rational number can be expressed as non-terminating repeating decimals or not.

Express the following rational number as a decimal number.

$\frac{3}{11}$

State 'pure recurring decimal' or 'mixed recurring decimal' for the following:

$0.\overline{3}$