Farmer has a field 1 square mile wide and 1 square mile wide. He divides it into fields 1/3 mile wide and 1/3 mile long how many fields will he have

"1 square mile wide and 1 square mile wide"

makes no sense, there are no such units

Does he have a field 1 mile by 1 mile ?

make a sketch of a square 1 by 1
Divide the sides into 3 equal length and draw the dividing lines.
You should have an X and O like game grid
How many squares can you count ?

To calculate the number of fields the farmer will have, we first need to determine the area of the original square mile field. As you mentioned, the field is 1 mile wide and 1 mile long, which means its total area is 1 square mile.

Since the farmer wants to divide the field into smaller fields that are 1/3 mile wide and 1/3 mile long, we can calculate the area of each small field. The area of a rectangle is calculated by multiplying its length by its width.

Area of each small field = (1/3 mile) x (1/3 mile) = 1/9 square miles

To find out how many small fields can fit into the original field, we need to divide the total area of the original field (1 square mile) by the area of each small field (1/9 square miles).

Number of small fields = (Area of original field) / (Area of each small field)
= 1 square mile / (1/9 square miles)
= 1 square mile x (9/1 square miles)
= 9

Therefore, the farmer will have 9 small fields if he divides his 1 square mile field into fields that are 1/3 mile wide and 1/3 mile long.