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