Question

If the rational number `a/b` has a terminating decimal expansion, what is the condition to be satisfied by b?

Answer 1

Let x be a rational number whose decimal expansion terminates.

Then, we can express x in the form `a/b`, where a and b are coprime and prime factorization of b is of the form (2^m × 5ⁿ), where m and n are non-negative integers.