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?(1 point)

Answer 1

To find out how many whole, equal-sized boards can be cut from a 10 1/4 yards long piece of wood, we need to divide the length of the wood by the length of each board.

10 1/4 yards = 10 + 1/4 yards = 10 + 0.25 yards = 10.25 yards

Length of each board = 4/5 yard

Number of boards = Length of wood / Length of each board = 10.25 yards / (4/5) yards

To divide by a fraction, we can multiply by the reciprocal, so:

Number of boards = 10.25 yards * (5/4) yards
= (10.25 * 5) / 4
= 51.25 / 4
= 12.8125

Since we need whole, equal-sized boards, Andre can cut 12 boards from this piece of wood.