Question

② if he divides his land into square fields that are \\(\frac{1}{3}\\) mile long and \\(\frac{1}{3}\\) mile wide. how many fields will he have? ____ fields

Explanation:

Step1: Find area of the land

The land is a square with side length 1 mile. Area of a square is side × side, so area of land is $1\times1 = 1$ square mile.

Step2: Find area of one field

Each field is a square (since length and width are equal? Wait, wait, the problem says "square fields that are $\frac{1}{3}$ mile long and $\frac{1}{3}$ mile wide" – so it's a square with side $\frac{1}{3}$ mile. Area of one field is $\frac{1}{3}\times\frac{1}{3}=\frac{1}{9}$ square mile.

Step3: Calculate number of fields

To find the number of fields, divide the area of the land by the area of one field. So number of fields $= \frac{1}{\frac{1}{9}}=1\times9 = 9$.

Answer:

9