Final answer:
To find the total acreage of a farmer's land that is divided into 8 sections of 4 1/6 acres each, multiply the size of one section by the number of sections to get 33 1/3 acres.
Step-by-step explanation:
A student is asking about the total acreage of a farmer's land that is divided into sections of 4 1/6 acres each and has 8 such sections. To calculate the total acres, you need to multiply the size of one section by the number of sections.
First, convert the mixed number 4 1/6 acres to an improper fraction:
4 1/6 acres = (4 × 6 + 1) / 6 = 25/6 acres.
Next, multiply the size of one section by the number of sections:
Total acres = (25/6 acres) × 8 sections.
Now solve the multiplication:
Total acres = (25 × 8) / 6 = 200 / 6 = 33 1/3 acres.
Therefore, the farmer owns 33 1/3 acres of land in total.