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 boards can he cut from this piece of wood?(1 point)
To find out how many boards Andre can cut from the 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, or 41/4 yards.
The length of each board is 4/5 yards.
To divide 41/4 yards by 4/5 yards, we need to multiply by the reciprocal of 4/5, which is 5/4.
(41/4) * (5/4) = (41*5)/(4*4) = 205/16
So, Andre can cut 205/16 boards from the piece of wood.
NOT IT
My apologies for the error. To find out how many boards Andre can cut from the 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. To make it easier to work with, we can convert this mixed number to a fraction. 10 1/4 is equal to (10*4 + 1)/4 = 41/4 yards.
The length of each board is 4/5 yards.
To find out how many boards can be cut, we divide the length of the wood by the length of each board:
(41/4) รท (4/5)
When we divide a fraction by another fraction, we flip the second fraction and multiply:
(41/4) * (5/4)
Multiplying the numerators gives us 41 * 5 = 205, and multiplying the denominators gives us 4 * 4 = 16.
So, Andre can cut 205/16 boards from the piece of wood.