A man is cutting a board that is 6 3/4 ft into pieces that are 8 inches each.He will make as many as 8 inch boards as he can.How much wood will be remaining from the original piece when the man finishes cutting?
Change 6 3/4 feet to inches divide that by 8 inches to get the number of boards.
Or, you can change 8 inches to 8/12 or 2/3 feet and divide 6 3/4 feet by 2/3 feet to get number of boards.
Oops! I misread the question. After you find number of pieces, multiply it by either 8 inches or 2/3 feet. That tells you how much wood was used. Now subtract the amount of wood used from 6 3/4 feet.
I used 2/3 feet for 8 inches.
To find out how much wood will be remaining from the original piece, we first need to convert all measurements to the same unit. Let's convert the length of the original board to inches, as the length of the pieces is given in inches.
The original board is 6 3/4 ft. To convert it to inches, we know that 1 ft is equal to 12 inches. So, we have:
6 3/4 ft = (6 ft) + (3/4 ft)
= 6 ft + (3/4 * 12 inches) [converting to inches]
= 6 ft + (36/4 inches)
= 6 ft + 9 inches
= 72 inches + 9 inches
= 81 inches
Now that we have the length of the original piece in inches, we can move on to determine how many 8-inch boards can be cut from it.
Since each board is 8 inches long, we divide the length of the original board (81 inches) by the length of each board (8 inches):
81 inches ÷ 8 inches = 10 remainder 1
This means that the man will be able to cut 10 complete 8-inch boards from the original piece, with 1 inch remaining.
Therefore, when the man finishes cutting, there will be 1 inch of wood remaining from the original board.