Question

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

(i) `73/(2^3× 3^3 × 5)`

Answer 1

`73/(2^3× 3^3 × 5)`

We know 2, 3 or 5 is not a factor of 73, so it is in its simplest form.
Moreover, (2²× 3³ ×5) ≠ (2^m × 5ⁿ) 
Hence, the given rational is non-terminating repeating decimal.