Question

Without finding the decimal representation, state whether the following rational numbers are terminating decimal or non-terminating decimals.
$-\frac{13}{27}$

Answer 1

Here $13$ and $27$ has no common factor.

So, $13$ and $27$ are co-prime.

Denominator $27=7\times 3$

Here, denominator is not of the form $2^n\times 5^m.$

Hence, $-\frac{13}{27}$ is non terminating decimals.