Probability of Pet Ownership in a Small Town

A small town consists of 200 residents, 60 of whom own a cat, 45 own a dog, and 10 own both a cat and a dog. The town mayor wants to conduct a survey regarding pet ownership preferences. If a resident is chosen at random, what is the probability that they own at least one type of pet (either a cat, a dog, or both)? Express your answer as a fraction in lowest terms.