The reciprocal of a fraction is obtained by swapping its numerator and denominator. For the fraction 3/8, its numerator is 3 and its denominator is 8. Therefore, the reciprocal of 3/8 is 8/3.
In simpler terms, if you take any fraction, like 3/8, and flip it around, you get its reciprocal. This means that while 3/8 represents a part of a whole, 8/3 represents how many times the whole can be divided by that part.