Question

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

(i) `11/(2^3× 3)`

Answer 1

`11/(2^3× 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.