Question

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

`29/343`

Answer 1

`29/343 = 29/(7^3)`

We know 7 is not a factor of 29, so it is in its simplest form.

Moreover, 7³ ≠ (2^m × 5ⁿ)

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