a carpenter has a piece of lumber measuring 9 feet 6 and 3/4 inches long how much the carpenter saw off to be left with a piece 7 feet 11 and 5/16 inches long?
haven't had to do this awkward type of calculation since 1972 when we switched to metric, but here it goes
9 feet, 6 inches plus 3/4 inches = 114 inches + 3/4 inch
7 feet, 11 inches plus 5/16 inch = 95 inches + 5/16
so 114+12/16 - (95+5/16)
= 19 plus 7/16 inches
= 1 foot, 7 and 7/16 inches.
Now don't forget about the width of the sawblade.
To find out how much the carpenter saw off, we need to subtract the length of the final piece from the original length. Here's how you can calculate it:
Step 1: Convert the measurements to a common unit. Let's convert everything to inches for easier calculation.
Original length: 9 feet 6 and 3/4 inches
Convert 9 feet to inches: 9 feet * 12 inches/foot = 108 inches
Convert 6 and 3/4 inches to a decimal: 6 inches + (3/4) inch = 6.75 inches
Total original length in inches: 108 inches + 6.75 inches = 114.75 inches
Final length: 7 feet 11 and 5/16 inches
Convert 7 feet to inches: 7 feet * 12 inches/foot = 84 inches
Convert 11 and 5/16 inches to a decimal: 11 inches + (5/16) inch = 11.3125 inches
Total final length in inches: 84 inches + 11.3125 inches = 95.3125 inches
Step 2: Subtract the final length from the original length to determine the amount sawed off.
Amount sawed off: Original length - Final length = 114.75 inches - 95.3125 inches = 19.4375 inches
Therefore, the carpenter sawed off approximately 19.44 inches from the original piece of lumber to be left with a piece measuring 7 feet 11 and 5/16 inches long.