Final answer:
The farmer's land sections are 3 4/7 acres each, and the farmer has 2 1/5 such sections. By converting to improper fractions and multiplying, we determine the farmer owns 7 6/7 acres. None of the provided options match this result, indicating a possible mistake in the question or options.
Step-by-step explanation:
The question at hand involves calculating the total acreage of land owned by a farmer based on the given size of his land sections. We are told that each of the farmer's land sections is 3 4/7 acres, and the farmer has 2 1/5 of these sections. To find the total acreage, we perform the multiplication:
(3 4/7 acres) × (2 1/5 sections) = (25/7 acres) × (11/5 sections)
We first convert the mixed numbers to improper fractions to make the multiplication easier. Then we multiply the numerators and the denominators:
(25 × 11) / (7 × 5) = 275 / 35
Upon simplifying the fraction, we find:
275 / 35 = 7 30/35 = 7 6/7
Therefore, the farmer owns 7 6/7 acres of land. This option is not listed explicitly in the choices, so we can check whether it simplifies to one of the available options:
7 6/7 acres = 7 + 6/7 = 7 6/7 acres (simplified form)
This amount clearly does not simplify to any of the provided options. Therefore, either the question's options are incorrect or there may be a mistake in the question's details.