Question

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

(i) `129/(2^2× 5^7 × 7^5)`

Answer 1

`129/(2^2× 5^7 × 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-terminatin g repeating decimal.