Mr. Yamamoto has a piece of plywood that is 15 1/2 ft. long and 12 3/4 ft. wide. He needs to cut the wood into 12 pieces for the students in his carpentry class. Mr. Yamamoto cuts the length into 4 equal pieces and the width into 3 equal pieces. What are the dimensions of each piece? Express the answers in simplest form

To determine the length of each piece, we need to divide the length of the plywood by the number of cuts Mr. Yamamoto will make. The length of each piece is 15 1/2 ft divided by 4, which equals 15.5 ft / 4 = 3.875 ft.

To determine the width of each piece, we need to divide the width of the plywood by the number of cuts Mr. Yamamoto will make. The width of each piece is 12 3/4 ft divided by 3, which equals 12.75 ft / 3 = 4.25 ft.

Therefore, each piece will have dimensions of 3.875 ft by 4.25 ft.