A carpenter needs to cut a piece of wood that is 5 3/4 feet long into pieces that are each 1 1/2 feet long. How many pieces can the carpenter cut from the wood?

To determine how many pieces the carpenter can cut from the wood, divide the total length of the wood by the length of each piece.

5 3/4 feet can be expressed as a mixed number: 5 + 3/4 = 20/4 + 3/4 = 23/4 feet

So, the carpenter can cut 23/4 feet / 1 1/2 feet/piece = 23/4 * 2/3 = 46/12 = 3 10/12 = 3 5/6 pieces from the wood.

Therefore, the carpenter can cut 3 5/6 pieces from the wood.