George has a wooden board that is 3 1/4 feet long. He needs to cut it into sections that are 3/4 foot long. How many sections can he cut from this board?
I apologize for my previous incorrect response.
To find out how many sections George can cut from the wooden board, we need to divide the length of the board by the length of each section.
The length of the wooden board is given as 3 1/4 feet. We can convert this mixed number into an improper fraction:
3 1/4 = (4 * 3 + 1) / 4 = 13/4.
Now, we divide 13/4 by the length of each section, which is 3/4 foot:
(13/4) / (3/4) = (13/4) * (4/3) = (13 * 4) / (4 * 3) = 52/12.
Simplifying the fraction:
52/12 = (4 * 13) / (4 * 3) = 13/3.
So, it seems my previous response was correct. George can cut 13/3 sections from the wooden board. This is an improper fraction, and if we convert it to a mixed number, it becomes 4 1/3 sections.
Therefore, George can cut 4 1/3 sections from the board.
wrong
To find the number of sections, we need to divide the length of the board by the length of each section.
3 1/4 feet can be written as 3 + 1/4 feet.
Converting 3 feet to inches, we have 3 feet × 12 inches/foot = <<3*12=36>>36 inches.
So the total length in inches is 36 inches + 1/4 foot × 12 inches/foot = 36 + 3 = 39 inches.
Each section is 3/4 foot × 12 inches/foot = 9 inches long.
Therefore, the number of sections George can cut from the board is 39 inches ÷ 9 inches/section = <<39/9=4>>4 sections. Answer: \boxed{4}.
To find out how many sections George can cut from the wooden board, we need to divide the length of the board by the length of each section.
First, let's convert the length of the wooden board from a mixed number to an improper fraction. The length of the board is 3 1/4 feet, which can be written as (4 * 3) + 1 = 13/4 feet.
Next, we divide the length of the wooden board by the length of each section. The length of each section is 3/4 feet.
Dividing 13/4 feet by 3/4 feet, we can use the rule of dividing fractions. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So, 13/4 feet divided by 3/4 feet equals (13/4) * (4/3).
Canceling out the common factors between the numerators and denominators, we get: (13 * 1) / (1 * 3) = 13 / 3.
Therefore, George can cut 13/3 sections from the wooden board.
As a final step, we can also simplify the answer. We observe that 13 is not divisible by 3, so the answer cannot be expressed as a whole number. Thus, the answer remains as an improper fraction, 13/3.
To find out how many sections George can cut from the wooden board, we need to divide the length of the board by the length of each section.
The length of the wooden board is 3 1/4 feet. We can first convert 3 1/4 into an improper fraction:
3 1/4 = (4 * 3 + 1) / 4 = 13/4.
Now, we divide 13/4 by the length of each section, which is 3/4 foot:
(13/4) / (3/4) = (13/4) * (4/3) = (13 * 4) / (4 * 3) = 52/12.
Simplifying the fraction:
52/12 = (4 * 13) / (4 * 3) = 13/3.
So, George can cut 13/3 sections from the wooden board.