A piece of lumber two and one forth feet long is to be cut into three equal pices. How long will each piece of cut wood be? Give the measurement in feet and in inches.
2 1/4 = 9/4
(9/4)/3 = 3/4
3/4 * 12 = 9 inches
2.25 / 3 = 0.75 feet = 9 inches
To find the length of each piece when a 2 and 1/4 feet long lumber is cut into three equal pieces, follow these steps:
Step 1: Convert 2 and 1/4 feet into an improper fraction.
- Since there are 4 quarters in one whole, 2 and 1/4 is equivalent to (2 × 4 + 1) / 4 = 9/4 feet.
Step 2: Divide the length of the lumber (9/4 feet) by the number of pieces (3) to find the length of each piece.
- 9/4 ÷ 3 = 9/4 × 1/3 = 9/12 = 3/4 feet.
Therefore, each piece of cut wood will be 3/4 feet long.
To convert this measurement into inches:
- Since there are 12 inches in one foot, multiply 3/4 feet by 12 to get the length in inches.
- (3/4) × 12 = (3 × 12) / 4 = 36/4 = 9 inches.
So, each piece of cut wood will be 3/4 feet (or 9 inches) long.
To find the length of each piece of cut wood, you need to divide the total length of the lumber by the number of pieces you want to create.
In this case, you have a piece of lumber that is 2 and 1/4 feet long, which is equivalent to 2.25 feet.
To divide the lumber into three equal pieces, you need to divide the total length (2.25 feet) by the number of pieces (3).
Dividing 2.25 feet by 3 gives you 0.75 feet.
Therefore, each piece of cut wood will be 0.75 feet long.
To convert this measurement into inches, you can multiply the decimal part (0.75) by 12, since there are 12 inches in a foot.
Multiplying 0.75 by 12 gives you 9 inches.
Therefore, each piece of cut wood will be 0.75 feet (or 9 inches) long.