Question

Check whether $\frac{3}{13}$ is
non-terminating, repeating decimals or terminating decimal number?

Answer 1

Given, Rational Number = $\frac{3}{13}$
If the denominator of a rational number is in the form $2^n,5^m$ or $2^n\times 5^m$, then the rational number is terminating. Else it is a reccuring decimal.

In the given rational number $\frac{3}{13}$, the denominator is 13 and it cannot be written in the form of $2^n$,$5^m$ or $2^n$×$5^m$ or both.

Hence, it will be a non terminating repeating decimal number.