Andre is cutting fence boards from a large peice of wood 10 1/4 yards long. Each board needs to be 4/5 yard. How mahy whole equal-sized boards can he cut from this peice of wood?

To find out how many whole equal-sized boards Andre can cut from the piece of wood, we need to divide the length of the wood by the length of each board.

First, we need to convert the length of the wood from yards to inches. There are 3 feet in a yard and 12 inches in a foot, so there are 3 * 12 = 36 inches in a yard.
Therefore, a piece of wood that is 10 1/4 yards long is equal to 10.25 * 36 = 369 inches long.

Next, we need to convert the length of each board from yards to inches. Since there are 36 inches in a yard, a board that is 4/5 yard long is equal to 4/5 * 36 = <<4/5*36=28.8>>28.8 inches long.

Now, we can divide the length of the wood by the length of each board to find out how many whole equal-sized boards Andre can cut:
369 inches รท 28.8 inches/board = 12.8 boards.

Since Andre can't cut a board into a fraction, he can cut 12 boards from the piece of wood.