To find the reciprocal you have to make the fraction a mixed number by multiplying the denominator by the whole number then adding the numerator, in this case it would give you 16/5. Since the reciprocal is the number that you multiply to get one, if you switch the denominator and the numerator, you get 5/16.
You can check your work by multiplying the numbers together, if it equals one, your reciprocal is correct, if not, then you may have to do it again.
