Fresh Market is making 22 1/2 pounds of trail mix. 1/3 of the mix will be raisins, 1/5 of the mix will be M&M’s candy, and the remainder of the mix will be nuts. How many pounds of nuts are needed for the trail mix? Express the answer as a fraction in simplest form.
1/3 + 1/5 of the mix is raisins and M&M's which is equal to (5+3)/15 = 8/15 of the mix
The difference between all of the mix and the raisins and M&M's is 1-8/15 = 15/15 - 8/15 = <<15/15-8/15=7/15>>7/15
The trail mix is 22 1/2 pounds so the nuts are 7/15*22.5 = <<7/15*22.5=10.5>>10.5 pounds of the mix. Answer: \boxed{\frac{10}{15}}.