Final answer:
To find out how much fertilizer Alan will need for his two fields, we need to add up the areas of the two fields and then multiply by the given amount of fertilizer per acre. The total area of the two fields is 32(1)/(4) acres, and Alan will need 4(7)/(20) quarts of fertilizer.
Step-by-step explanation:
To find out how much fertilizer Alan will need for his two fields, we need to add up the areas of the two fields and then multiply by the given amount of fertilizer per acre.
The first field is 22(1)/(2) acres and the second field is 38(1)/(4) acres. Adding these two areas together, we get 22(1)/(2) + 38(1)/(4) = 23 + 38(1)/(4) = 23 + 9(1)/(4) = 32(1)/(4) acres.
Now, we can multiply the total area by the amount of fertilizer per acre: 32(1)/(4) acres * (3)/(5) quarts/acre = 32(1)/(4) * (3)/(5) = 96(3)/(20) = 4(7)/(20) quarts.
Therefore, Alan will need 4(7)/(20) quarts of fertilizer for his two fields.