you need 5 foot long board into pieces that are 3/4 of a foot long. How many pieces can we cut? what length of the board will be left?
5 / (3/4)
5 * (4/3) = 20/3 = 6 2/3
You can cut 6 pieces.
To find how much is left over, multiply 3/4 by 2/3.
6 and 2/3 pieces
To find out how many pieces can be cut from a 5-foot long board into pieces that are 3/4 of a foot long, we need to divide the length of the board by the length of each piece.
First, we need to convert the length of each piece to the same unit as the length of the board. Since the board is measured in feet, we need to convert 3/4 of a foot to the same unit.
To convert 3/4 of a foot to feet, we divide 3 by 4, which gives us 0.75. So, each piece is 0.75 feet long.
Next, we divide the length of the board (5 feet) by the length of each piece (0.75 feet) to find out how many pieces can be cut.
5 feet ÷ 0.75 feet = 6.67 pieces (approximately)
Since we cannot have a fractional number of pieces, we round down to the nearest whole number. So, we can cut 6 pieces from the 5-foot long board.
To find out the length of the board remaining after cutting the pieces, we multiply the number of pieces cut (6) by the length of each piece (0.75 feet).
6 pieces × 0.75 feet/piece = 4.5 feet
Therefore, after cutting 6 pieces that are 3/4 of a foot long from the 5-foot long board, there will be 4.5 feet of the board remaining.