Question

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

`32/147`

Answer 1

`32/147 = 32/((3 xx 7^2))`

We know either 3 or 7 is not a factor of 32, so it is in its simplest form.

Moreover, (3 × 7²) ≠ (2^m × 5ⁿ) 

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