dancing vs recreation

dancing and recreation both are nouns.

Word	Noun	Adjective	Verb	Adverb
dancing	Yes	No	No	No
recreation	Yes	No	No	No

As nouns, recreation is a hypernym of dancing; that is, recreation is a word with a broader meaning than dancing:

dancing: taking a series of rhythmical steps (and movements) in time to music
recreation: an activity that diverts or amuses or stimulates

Other hypernyms of dancing include diversion, performing arts.

dancing (noun)	recreation (noun)
taking a series of rhythmical steps (and movements) in time to music	an activity that diverts or amuses or stimulates
	activity that refreshes and recreates; activity that renews your health and spirits by enjoyment and relaxation