13 pieces
First, we are going to convert 3 yard to inches, and then divide the result by length of each piece (8 inches)
To convert 3 yards to inches, we are going to take advantage of the fact that 1 yard = 36 inches, so:
[tex]3yd*\frac{36in}{1yd} =3*36in=108in[/tex]
Now we just need to divide 108 inches by the length of each piece (8 inches) to get the number of pieces:
[tex]\frac{108in}{8in}=13.5[/tex]
Since we need whole pieces, we can get rid of the decimal part to get 13 pieces.
We can conclude that we can cut 13 pieces of 8 inches from three yards of fabric.