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To find out how many boards Andre can cut from the large piece of wood, we need to divide the length of the wood by the length of each board.
The length of the wood is 10 1/4 yards, which can be simplified to 10.25 yards.
The length of each board is 4/5 yard.
To divide 10.25 yards by 4/5 yard, we divide the numerator (10.25) by the reciprocal of the denominator (5/4).
10.25 yards รท (5/4) = 10.25 yards ร (4/5) = 8.2 boards.
Therefore, Andre can cut 8.2 boards from this piece of wood.
However, since you cannot have a fraction of a board, Andre can cut only 8 boards from this piece of wood.