Question

A farmer owns a total of 10 acres of land. The land is separated into 6 3/7 equally sized sections. How many acres are in each section?Write your answer as a mixed number in simplest form.

Answer 1

We need to divide 10 acres of land by 6 3/7 sections; therefore, if x is the number we are looking for

`x=\frac{10}{6\text{ }(3)/(7)}=(10)/(6+(3)/(7))=(10)/((45)/(7))=(70)/(45)=(14)/(9)=1+(5)/(9)=1\text{ }(5)/(9)`

Thus, the answer is 1 5/9 acres.