Question

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

`11/((2^3 xx 3))`

Answer 1

`11/((2^3 xx 3))`

We know either 2 or 3 is not a factor of 11, so it is in its simplest form.

Moreover, (2³× 3) ≠ (2^m × 5ⁿ) 

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