kevin had a board that was 5 and 1/4 feet long. while making making a fence, he cut a peice 3 and 3/4 feet long from the board. what was the lenth of the peice of board remained?
5 1/4 - 3 3/4 = 4 5/4 - 3 3/4 = 1 2/4 = 1 1/2
A board 5 feet long is cut into two pieces such that the length of one piece is two-thirds of the length of the other piece. Find the length of the shorter piece of board.
the answer si 1 1/2 feet.
To find the length of the piece of board that remained, you need to subtract the length of the piece that was cut from the original length of the board.
The original length of the board is given as 5 and 1/4 feet. To work with this mixed number more easily, it can be converted to an improper fraction. To do this, multiply the whole number (5) by the denominator (4), and then add the numerator (1). This gives us (5*4+1=21) as the numerator, with the denominator remaining the same (4). Thus, the original length can be expressed as 21/4 feet.
The length of the piece that was cut is given as 3 and 3/4 feet. Again, convert this mixed number to an improper fraction. Multiply the whole number (3) by the denominator (4), and then add the numerator (3). This gives us (3*4+3=15) as the numerator, with the denominator still being 4. Therefore, the length of the piece that was cut can be expressed as 15/4 feet.
To find the length of the remaining piece of board, subtract the length of the cut piece from the original length:
(21/4) - (15/4) = (21-15)/4 = 6/4 = 3/2
Therefore, the length of the remaining piece of board is 3/2 feet, or in mixed number form, it is 1 and 1/2 feet.