Question

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

`9/35`

Answer 1

`9/35 = 9/((5 xx 7))`

We know either 5 or 7 is not a factor of 9, so it is in its simplest form.

Moreover, (5 × 7) ≠ (2^m × 5ⁿ) 

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