Question

A farmer owns a total of 9 acres of land. The land is separated into 4 2/7 equally sized sections. How many acres are in each section?

Answer 1

`2(1)/(10)\ \text{acres}`

Explanation:

`9` acres of land split into
`4(2)/(7)`.

Now

`4(2)/(7)=4+(2)/(7)`

One section of land will be

`(9)/(4+(2)/(7))\\ =(9)/((30)/(7))\\ =(63)/(30)\\ =(21)/(10)=2(1)/(10)\ \text{acres}`

One section of the land is
`2(1)/(10)\ \text{acres}`.