rational

Of or associated with or requiring the use of the mind.

“the triumph of the rational over the animal side of man”

Capable of being expressed as a quotient of integers.

“rational numbers”

Consistent with or based on or using reason.

“rational behavior”

“a process of rational inference”

Having its source in or being guided by the intellect (as distinguished from experience or emotion).

“a rational analysis”

An integer or a fraction.