An organization will give a prize to a local artist. The artist will be randomly chosen from among 7 painters, 4 sculptors, and 5 photographers. What is the probability that the artist chosen will be a painter or a photographer?

Write your answer as a fraction in simplest form.

There are a total of 7 painters + 4 sculptors + 5 photographers = <<7+4+5=16>>16 artists.

The probability of choosing a painter or a photographer is (7 painters + 5 photographers) / 16 artists = 12 / 16 = 3 / 4. Answer: \boxed{\frac{3}{4}}.