Arch has 4 1/2 cantaloupes he slices the cantaloupe into 6 equal sized servings

He uses one of the servings to make fruit plates. Each fruit plate uses 1/8 of a cantaloupe

How many fruit plates does arch make

6

9

216

1/6

To find out how many fruit plates Arch makes, we need to divide the number of servings by the amount used for each fruit plate.

Each cantaloupe is sliced into 6 equal-sized servings, so Arch has a total of 4 1/2 * 6 = <<4+1/2*6=27>>27 servings.

Each fruit plate uses 1/8 of a cantaloupe, so Arch can make a total of 27 / 1/8 = 27 * 8 = <<27*8=216>>216 fruit plates.

Therefore, Arch makes a total of 216 fruit plates.