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

Respuesta :

We can do the following steps to solve the exercise:

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

[tex]1\frac{1}{9}=\frac{1\cdot9+1}{9}=\frac{9+1}{9}=\frac{10}{9}[/tex]

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

[tex]\begin{gathered} \text{ Number of acres cut per week }=\frac{\frac{10}{9}}{3} \\ \text{ Number of acres cut per week }=\frac{\frac{10}{9}}{\frac{3}{1}} \\ \text{ Number of acres cut per week }=\frac{10\cdot1}{9\cdot3} \\ \text{ Number of acres cut per week }=\frac{10}{27} \end{gathered}[/tex]

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