Andre is cutting fence boards from a large piece of wood 10 1/4 yards long. Each board needs to be 4/5 yard. How many whole, equal-sized boards can he cut from this piece of wood?
To find out how many whole, equal-sized 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.
Converting this to a mixed number, we have 10 + 1/4 = 10 4/4 = 10 1 yard.
The length of each board is 4/5 yard.
To divide the length of the wood by the length of each board, we divide 10 1 by 4/5:
(10 1) ÷ (4/5) = (10 + 1) ÷ (4/5) = 11 ÷ (4/5)
To divide by a fraction, we multiply by its reciprocal:
11 ÷ (4/5) = 11 * (5/4) = 55/4 = 13 3/4
Therefore, Andre can cut 13 whole, equal-sized boards from the large piece of wood, with a remainder of 3/4 yard.