a board is 19ft 9inches long is cut into nine equal pieces to the nearest inch. how long is each piece? how many inches of board will be left over?
(19 * 12) + 9 = 237 inches
237 / 9 = 26 1/3 inches
1/3 * 12 = 4 inches left over
To find the length of each piece, we need to divide the total length of the board by the number of pieces it is cut into. In this case, the length of the board is 19 ft 9 inches.
First, let's convert the length of the board to inches. Since there are 12 inches in 1 foot, we multiply the number of feet by 12 and add the number of inches.
19 feet * 12 inches/foot = 228 inches
+ 9 inches = 237 inches
Now that we have the total length of the board in inches, we can divide it by the number of pieces it is cut into (9 pieces).
237 inches ÷ 9 pieces = 26.333... inches
Since we need to round to the nearest inch, we round 26.333... inches to the nearest whole number. In this case, it will be 26 inches.
So each piece will be approximately 26 inches long.
To calculate how many inches of board will be left over, we need to subtract the length of the nine equal pieces (26 inches each) from the total length of the board (237 inches).
Total length of the board: 237 inches
Total length of nine equal pieces: 9 pieces * 26 inches/piece = 234 inches
237 inches - 234 inches = 3 inches
Therefore, there will be 3 inches of board left over.