A farmer harvested 21 1/4 fewer bushels of sweet corn this year than the previous year. If the farmer's sweet corn crop is planted across 3 acres, what is the average loss per acre?

21 1/4 ÷ 3 85/4 * 1/3 = 85/12 = 7 1/12 bu/acre

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To find the average loss per acre, we first need to determine the total loss in bushels of sweet corn.

Let's break down the problem step by step:

1. Calculate the total loss in bushels of sweet corn.
The farmer harvested 21 1/4 fewer bushels this year than the previous year. To find the total loss, we subtract this amount from the previous year's harvest:
21 1/4 = 21 + 1/4 = 84/4 + 1/4 = 85/4

Therefore, the total loss in bushels of sweet corn is 85/4 bushels.

2. Calculate the average loss per acre.
The sweet corn crop was planted across 3 acres. To find the average loss per acre, we divide the total loss in bushels by the number of acres:
Average loss per acre = Total loss in bushels / Number of acres

Average loss per acre = (85/4) / 3

Division of fractions: Average loss per acre = (85/4) * (1/3) (multiply the numerator and denominator)

Average loss per acre = 85 / (4 * 3) = 85 / 12

Therefore, the average loss per acre is 7 1/12 bushels (or 7.08 bushels).

So, the average loss per acre of sweet corn is 7 1/12 bushels.