Question

“A farmer owns a total of 8 acres of land. The land is separated into 3 3/5 equally sized sections. How many acres are in each section?

Write your answer as a mixed number in simplest form”

Answer 1

To find the number of acres in each section, we can divide the total number of acres (8) by the number of sections (3 3/5).

First, we need to convert the mixed number of sections into an improper fraction:

3 3/5 = 18/5

Next, we can divide 8 by 18/5:

8 ÷ 18/5 = 8 x 5/18 = 40/18

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 2:

40/18 = (2 x 20)/(2 x 9) = 20/9

Therefore, each section is 20/9 acres, which can be written as a mixed number in simplest form as:

2 2/9 acres