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I always see reciprocal and inverse throughout the text. What is the difference between the two?

I always thought reciprocal was the number (in a fraction form) flipped so the result of any multiplication is always 1.

eg 3/7 is the reciprocal of 7/3

But what about inverse? I'm having a troubling time finding the definitive answer for that. I've been thinking its 1 divided by the number. So the inverse of 47 is 1/47 ?

Tell me how embarassingly wrong I am please :D