Maurice needed to cut a piece of wood for this project that measures 4 and 3/4 inches. how much wood will he have left if the board that he is cutting from is 8 inches long? show your work.

8 = 7 4/4

7 4/4 - 4 3/4 = ?

3 1/4

To find out how much wood Maurice will have left after cutting a piece of wood measuring 4 and 3/4 inches from an 8-inch long board, we need to subtract the length of the piece cut from the length of the original board.

Let's break it down step by step:

1. Convert the mixed number 4 and 3/4 to an improper fraction:
- Multiply the whole number (4) by the denominator of the fraction (4): 4 x 4 = 16
- Add the numerator (3) to the product: 16 + 3 = 19
- Write the sum over the denominator: 19/4

2. Subtract the length of the piece cut from the length of the original board:
8 inches - (4 and 3/4) inches

a. Convert the mixed number 4 and 3/4 to an improper fraction (as done earlier): 19/4 inches

b. Subtract the fraction from the whole number portion and convert back to a mixed number:
8 - (19/4)
To subtract fractions with different denominators, we need to find a common denominator. The least common multiple (LCM) of 4 and 1 is 4, so we can multiply both the numerator and denominator of 8 by 4 to get a common denominator.

8 x 4 = 32
19/4 x (4/4) = 19/4

Now we can subtract with a common denominator:
32/4 - 19/4 = (32 - 19)/4 = 13/4 inches

3. Convert the remaining fraction back to a mixed number (if necessary):
The result, 13/4 inches, is an improper fraction. We can convert it to a mixed number:
13 divided by 4 is 3 with a remainder of 1. So the remaining wood is 3 and 1/4 inches.

Therefore, Maurice will have 3 and 1/4 inches of wood left after cutting the piece.