Question

Without actual division, determine which of the following has terminating or non-terminating decimal: $\frac{305}{108}$

Answer 1

In $\frac{305}{108}$, denominator $108$ has the factors $2\times 2\times 3\times 3\times 3$, hence it is a non-terminating decimal as it includes the number other than $2$ or $5$.