I have a 15ft board I need to cut into 2 1/8 inch pieces how many can I cut
15/(17/8)
15 * (8/17) = 120 / 17 = 7.1 = 7 pieces
15 ÷ 2 1/8 = about 7
To determine how many 2 1/8 inch pieces you can cut from a 15 ft board, you need to convert the measurements to the same units.
First, convert the length of the board from feet to inches. Since 1 foot equals 12 inches, the length of the 15 ft board is 15 ft x 12 inches/ft = 180 inches.
Next, divide the length of the board (180 inches) by the width of each piece (2 1/8 inches). To divide fractions, you need to invert and multiply. The fraction 2 1/8 can be written as 17/8 (since 2 x 8 + 1 = 17).
Therefore, you can calculate the number of pieces by dividing 180 inches by 17/8 inches using the formula: Number of pieces = Length of board / Width of each piece.
Number of pieces = 180 inches / (17/8 inches)
To divide fractions, multiply the first fraction by the reciprocal of the second fraction:
Number of pieces = 180 inches * (8 inches / 17 inches)
Simplifying the calculation:
Number of pieces = (180 * 8) / 17 = 1440 / 17
Calculating the division:
Number of pieces ≈ 84.71
Since you can't cut fractions of a piece, you can cut a maximum of 84 pieces with 2 1/8 inches width from a 15 ft board.