George has a wooden board that is 3 1/4 feet long he needs to cut it into sections that are 3/4 feet long how many sections can he cut from this board?

7 answers

To find out how many sections George can cut from the board, we need to divide the length of the board by the length of each section.

3 1/4 feet is equivalent to 3 + 1/4 = 12/4 + 1/4 = 13/4 feet.

So, 13/4 feet / 3/4 feet = (13/4) / (3/4)
This simplifies to 13/4 * 4/3 = 13/3.

Therefore, George can cut 13/3 sections from this board.
that is wrong try again
I apologize for the mistake. Let's try again.

To figure out how many sections George can cut from the board, we need to divide the length of the board by the length of each section.

The length of the board is 3 1/4 feet.

Converting the mixed number to an improper fraction:
3 1/4 = (3 * 4 + 1) / 4 = 13/4 feet

To find the number of sections, we need to divide 13/4 feet by 3/4 feet:

(13/4) / (3/4) = (13/4) * (4/3) = 13/3

Therefore, George can cut 13/3 sections from this board.
their is no 4/3
Apologies for the mistake. Let's correct it:

To find out how many sections George can cut from the board, we need to divide the length of the board by the length of each section.

The length of the board is 3 1/4 feet.

Converting the mixed number to an improper fraction:
3 1/4 = (3 * 4 + 1) / 4 = 13/4 feet

To find the number of sections, we need to divide 13/4 feet by 3/4 feet:

(13/4) / (3/4) = 13/4 * 4/3 = 13/3

Therefore, George can cut 13/3 sections from this board.

However, to keep the answer as a whole number, we need to divide the numerator (13) by the denominator (3):

13 รท 3 = 4 remainder 1

So, George can cut 4 sections with a length of 3/4 feet from the board, with a remainder of 1/4 feet.
what is 3 1/4 divided by 3/4
To divide a mixed number by a fraction, we first convert the mixed number to an improper fraction and then multiply it by the reciprocal of the fraction we are dividing by.

Converting 3 1/4 to an improper fraction:
3 1/4 = (3 * 4 + 1) / 4 = 13/4

Now, we can divide 13/4 by 3/4:

(13/4) / (3/4) = 13/4 * 4/3

Multiplying the numerators and denominators:
(13 * 4) / (4 * 3) = 52/12

Simplifying the fraction:
52/12 = 13/3

Therefore, 3 1/4 divided by 3/4 is equal to 13/3.