Question

A farmers land is separated in sections of size 2 1/7 acres. Suppose there are 4 3/8 such sections. How many acres of land does the farmer own? Write your answer as a mixed number in simplest form.

Answer 1

32 13/16 acres

Explanation:

Answer 2

We were told that the farmer's land is separated in sections of size 2 1/7 acres. Converting 2 1/7 to improper fraction, we multiply 2 by 7 and add 1. The denominator remains 7. it becomes 15/2

There are 4 3/8 such sections. Converting 4 3/8 to improper fraction, it becomes 35/8

Therefore, the number of acres of land that the farmer owns is

15/2 * 35/8 = 525/16

Converting to improper fraction, it becomes

32 13/16 acres