rational vs mathematics

rational and mathematics both are nouns.

Word	Noun	Adjective	Verb	Adverb
rational	Yes	Yes	No	No
mathematics	Yes	No	No	No

rational (noun)	mathematics (noun)
an integer or a fraction	a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement

rational (adjective)	mathematics (adjective)
consistent with or based on or using reason
capable of being expressed as a quotient of integers
having its source in or being guided by the intellect (as distinguished from experience or emotion)
of or associated with or requiring the use of the mind