Arch has 4 1/2 cantaloupes. He slices the cantaloupes into 6 equal-sized servings.%0D%0A%0D%0AHe uses one of the servings to make fruit plates. Each fruit plate uses 1/8 of a cantaloupe.%0D%0A%0D%0AHow many fruit plates does Arch make?

In total, Arch has 4 1/2 cantaloupes, which can also be written as 4.5 cantaloupes.

If each cantaloupe is sliced into 6 equal-sized servings, then there will be 4.5 * 6 = <<4.5*6=27>>27 servings in total.
Out of these 27 servings, Arch uses 1/8 of a cantaloupe to make each fruit plate.
To find the number of fruit plates, we need to divide the total number of servings by the number of servings per fruit plate.
Total number of servings / Servings per fruit plate = Number of fruit plates
27 servings / (1/8 serving per fruit plate) = Number of fruit plates
27 servings / 1/8 = Number of fruit plates
27 * 8 = Number of fruit plates
216 = Number of fruit plates

Therefore, Arch makes 216 fruit plates.

is that true

Apologies for the miscalculation. Let's correct the answer:

If Arch has 4 1/2 cantaloupes, it means he has 4 whole cantaloupes and an additional half cantaloupe. A half cantaloupe can be divided into 6 equal-sized servings.

So, the total number of servings from the half cantaloupe is 1/2 * 6 = 3 servings.
And the total number of servings from the four whole cantaloupes is 4 * 6 = 24 servings.

Now, we add these two totals together: 3 servings + 24 servings = 27 servings.

Therefore, Arch has a total of 27 cantaloupe servings. Since each fruit plate uses 1/8 of a cantaloupe, we need to divide the total servings by 1/8 to find the number of fruit plates:

27 servings / (1/8 serving per fruit plate) = 27 / (1/8)
This can be rewritten as the multiplication expression:
27 * (8/1) = 27 * 8 = 216

So, Arch can make a total of 216 fruit plates with the cantaloupes he has.