The home economics team has 6 3/4 feet of fabric for a class project. They need 3/4 of a foot of fabric for each piece in the project. How many pieces will they be able to cut?
(27/4) / (3/4) =
(27/4) * (4/3) = 108/12 = 9 pieces
To find out how many pieces the home economics team will be able to cut, we need to divide the total length of fabric by the length required for each piece.
First, let's convert the mixed number 6 3/4 into an improper fraction:
6 3/4 = (6 * 4 + 3) / 4 = 27 / 4
Now, we can divide the total length of fabric by the length required for each piece:
27 / 4 ÷ 3/4
To divide fractions, we invert the second fraction and multiply:
27 / 4 × 4/3
Cancel out the common factors between the numerator of the first fraction and the denominator of the second fraction:
27 ÷ 3 = 9
So, the team will be able to cut 9 pieces using the given fabric.