Bot Julie makes headbands to sell at a craft show. She uses 1/3 yard of fabric to make 6 headbands. How many headbands will Julie make with 1 1/2 yards of fabric?
Julie uses 1/3 yard of fabric to make 6 headbands, so she uses 1/3 * 6 = <<1/3*6=2>>2 yards of fabric to make 1 headband.
Therefore, with 1 1/2 yards of fabric, Julie will be able to make 1 1/2 / 2 = <<1.5/2=0.75>>0.75 headbands.
Since you can't make a partial headband, Julie will be able to make a maximum of 0 headbands with 1 1/2 yards of fabric. Answer: \boxed{0}.