A factory makes rectangular sheets of cardboard, each with an area 2 1/2 square feet. Each sheet of cardboard can be cut into smaller pieces of cardboard measuring 1 1/6 square feet. How many smaller pieces of cardboard does each sheet of cardboard provide?

Answer: each sheet of cardboard provides 2 pieces of smaller pieces of cardboard

Step-by-step explanation:

The area of each rectangular sheet of cardboard that the factory makes is 2 1/2 square feet. Converting

2 1/2 square feet to improper fraction, it becomes 5/2 square feet.

Each sheet of cardboard can be cut into smaller pieces of cardboard measuring 1 1/6 square feet. Converting

1 1/6 square feet to improper fraction, it becomes 7/6 square feet.

Therefore, the number of smaller pieces of cardboard that each sheet of cardboard provides is

5/2 : 7/6 = 5/2 * 6/7 = 15/7

= 2 1/7 pieces