Question

In a wooded area, tree cutters cut down 1 1/9 acres of trees in 3 weeks. If they cut the same number of acres week, how many acres did they cut per weekA. 10/27B. 11/22C. 21/25D. 35/42

Answer 1

We can do the following steps to solve the exercise:

Step 1: We convert the mixed number to an improper fraction.

`1(1)/(9)=(1\cdot9+1)/(9)=(9+1)/(9)=(10)/(9)`

Step 2: We divide the total number of acres of trees cut by the total number of weeks.

`\begin{gathered} \text{ Number of acres cut per week }=((10)/(9))/(3) \\ \text{ Number of acres cut per week }=((10)/(9))/((3)/(1)) \\ \text{ Number of acres cut per week }=(10\cdot1)/(9\cdot3) \\ \text{ Number of acres cut per week }=(10)/(27) \end{gathered}`

Therefore, they did cut 10/27 acres per week.