Answer: 9/8
Step-by-step explanation: In this problem, we are asked to find the reciprocal of the fraction 8/9. When we are asked find the reciprocal of a fraction, we simply flip the fraction so the denominator is in the position of the numerator and the numerator is in the position of the denominator.
So if we flip 8/9, we get the improper fraction 9/8.