Question

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

(i) `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.