Question

Without actual performing long division, state whether the 543/225 has a terminating decimal expansion or non-terminating recurring decimal expansion.

Answer 1

We know that the numbers which have 2or 5 or their multiples are terminating so lets check
lets make factors of 225
= 5×5×9
so there is a new no except 2 or 5 so it is non terminating

Answer 2

This is the answer

We know that the numbers which have 2 or 5 or their multiples are terminating so lets check

Factors of 225  = 5×5×9

There are no 2's here so it is non terminating.