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)

Question

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Answer 1

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.

Length of wood: 10 1/4 yards
Length of each board: 4/5 yard

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction (flipping the fraction upside down).

10 1/4 * 5/4 = (41/4) * (5/4) = 205/16

Now we need to divide the length of the wood by the length of each board:

205/16 / 4/5 = (205/16) * (5/4) = 205/64

So Andre can cut 205/64 boards from the piece of wood.

Since we want to find the number of whole boards, we need to round down to the nearest whole number.

205/64 ≈ 3.203125

So Andre can cut 3 whole, equal-sized boards from the piece of wood. Answer: \boxed{3}.