1. The problem states Amy has 3 yards of fabric and needs to cut it into 6 equal pieces. 2. To find the length of each piece, we use the formula for dividing a quantity into equal parts: $$\text{Length of each piece} = \frac{\text{Total length}}{\text{Number of pieces}}$$ 3. Substitute the given values: $$\text{Length of each piece} = \frac{3}{6}$$ 4. Simplify the fraction by dividing numerator and denominator by their greatest common divisor, 3: $$\frac{\cancel{3}}{\cancel{6}} = \frac{1}{2}$$ 5. Therefore, each piece of fabric should be $\frac{1}{2}$ yard long. This means Amy cuts the fabric into 6 pieces, each half a yard long, so the total length remains 3 yards.