rational

(noun) an integer or a fraction. Synonyms: rational number.

(adj) consistent with or based on or using reason. Synonyms: rational (vs. irrational). Examples: "Rational behavior." "A process of rational inference." "Rational thought."

(adj) of or associated with or requiring the use of the mind. Synonyms: intellectual, noetic. Examples: "Intellectual problems." "The triumph of the rational over the animal side of man."

(adj) capable of being expressed as a quotient of integers. Synonyms: rational (vs. irrational). Example: "Rational numbers."

(adj) having its source in or being guided by the intellect (as distinguished from experience or emotion). Example: "A rational analysis."