The words fate, fete sound the same but have different meanings and spellings. Why do fate, fete sound the same even though they are completely different words?
The answer is simple: fate, fete are homophones of the English language.
A final result or consequence; an outcome.
Unfavorable destiny; doom.
The supposed force, principle, or power that predetermines events.
The inevitable events predestined by this force.
A festival or feast.
An elaborate, often outdoor entertainment.
An elaborate party.
To celebrate or honor with a festival, a feast, or an elaborate entertainment.
Definitions from The American Heritage® Dictionary of the English Language, 4th Edition and Wordnik.
Homophones (literally "same sound") are usually defined as words that share the same pronunciation, regardless of how they are spelled.