mathematics vs rational

mathematics and rational both are nouns.

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

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

mathematics (adjective)	rational (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