Question

Without actual division, show that the following rational numbers is a non-terminating repeating decimal.

`73/((2^3 xx 3^3 xx 5))`

Answer 1

`73/((2^3 xx 3^3 xx 5))`

We know 2, 3 or 5 is not a factor of 73, so it is in its simplest form.

Moreover, (2² × 3³ × 5) ≠ (2^m × 5ⁿ) 

Hence, the given rational is non-terminating repeating decimal.