Question

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

`129/((2^2 xx 5^7 xx 7^5))`

Answer 1

`129/((2^2 xx 5^7 xx 7^5))`

We know 2, 5 or 7 is not a factor of 129, so it is in its simplest form.

Moreover, (2² × 5⁷× 7⁵) ≠ (2^m × 5ⁿ)  

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