fight vs battle

fight and battle both are nouns.

Word	Noun	Adjective	Verb	Adverb
fight	Yes	No	Yes	No
battle	Yes	No	Yes	No

As nouns, fight and battle are synonyms defined as:

fight and battle: a hostile meeting of opposing military forces in the course of a war

Other synonyms of fight include conflict, engagement.

As nouns, battle is a hypernym of fight; that is, battle is a word with a broader meaning than fight:

Other hypernyms of fight include conflict, struggle.

As verbs, battle is a hyponym of fight; that is, battle is a word with a more specific, narrower meaning than fight:

fight (noun)	battle (noun)
a hostile meeting of opposing military forces in the course of a war	a hostile meeting of opposing military forces in the course of a war
the act of fighting; any contest or struggle	an energetic attempt to achieve something
a boxing or wrestling match	an open clash between two opposing groups (or individuals)
an aggressive willingness to compete
an intense verbal dispute

fight (verb)	battle (verb)
be engaged in a fight; carry on a fight	battle or contend against in or as if in a battle
fight against or resist strongly
make a strenuous or labored effort
exert oneself continuously, vigorously, or obtrusively to gain an end or engage in a crusade for a certain cause or person; be an advocate for