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

$x=\frac{10}{6\text{ }\frac{3}{7}}=\frac{10}{6+\frac{3}{7}}=\frac{10}{\frac{45}{7}}=\frac{70}{45}=\frac{14}{9}=1+\frac{5}{9}=1\text{ }\frac{5}{9}$

Thus, the answer is 1 5/9 acres.