# If the Rational Number A/BHas a Terminating Decimal Expansion, What is the Condition to Be Satisfied by B? - Mathematics

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

#### Solution

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 (2m × 5n), where m and n are non-negative integers.

Concept: Revisiting Rational Numbers and Their Decimal Expansions
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