Question

A farmer’s land is separated into sections of 3 5/6 acres. Suppose there are 9 such sections. How many acres of land does the farmer own?

A. 30
B. 35
C. 40
D. 45

Answer 1

To calculate the total acreage, the size of each section (3 5/6 acres) is converted to an improper fraction and multiplied by the number of sections (9), resulting in 34 1/2 acres of land owned by the farmer.

Step-by-step explanation:

The question asks how many acres of land a farmer owns if he has 9 sections of land, with each section being 3 5/6 acres. To find the total acreage, multiply the number of sections by the size of each section. First, convert the mixed number 3 5/6 to an improper fraction: 6 (3) + 5 = 18 + 5 = 23/6 acres. Then, multiply this by the number of sections:

1. Calculate the total acreage: 23/6 acres × 9 = 207/6 acres.
2. Divide the total by 6 to convert it back to a mixed number: 207/6 = 34 1/2 acres.

Therefore, the farmer owns 34 1/2 acres of land.