Question

Without finding the decimal representation, state whether the following rational numbers are terminating decimal or non-terminating decimals.
$\frac{1}{12}$

Answer 1

Given that $\frac{1}{12}$

Here $1$ and $12$ have no common factors and

$1$ and$12$ are co-prime

For denominator $12$

$=2^2\times 3$

$\therefore$ the denominator is not of the form $2^n.5^m$

Thus $\frac{1}{12}$ has a non terminating decimals.