fraud vs crime

fraud and crime both are nouns.

Word	Noun	Adjective	Verb	Adverb
fraud	Yes	No	No	No
crime	Yes	No	No	No

As nouns, crime is a hypernym of fraud; that is, crime is a word with a broader meaning than fraud:

fraud: intentional deception resulting in injury to another person
crime: (criminal law) an act punishable by law; usually considered an evil act

Other hypernyms of fraud include criminal offence, criminal offense, law-breaking.

fraud (noun)	crime (noun)
intentional deception resulting in injury to another person	(criminal law) an act punishable by law; usually considered an evil act
something intended to deceive; deliberate trickery intended to gain an advantage	an evil act not necessarily punishable by law
the act of swindling by some fraudulent scheme
a person who makes deceitful pretenses