Andre is cutting fence boards from a large piece of wood 10 1/4yards long. Each board needs to be4/5yard. How many boards can he cut from this piece of wood?
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 also be written as 41/4 yards.
The length of each board is 4/5 yards.
Now we divide the length of the wood by the length of each board:
(41/4) / (4/5)
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction:
(41/4) * (5/4)
To simplify this expression, we multiply the numerators and the denominators:
(205/16)
Therefore, Andre can cut 205/16 boards from the large piece of wood.
Since it is not practical to have a fraction of a board, we round down to the nearest whole number:
205/16 ≈ 12.8125
Therefore, Andre can cut approximately 12 boards from the large piece of wood.