re is using a 15 foot piece of ribbon for an art project. He cuts the ribbon into equal sized pieces \( \frac{1}{3} \) foot in length. Using all of the ribbon, how ypieces of ribbon does Andre cut?

To find out how many pieces of ribbon Andre can cut from a 15-foot piece using pieces that are each \( \frac{1}{3} \) foot long, we can follow these steps: 1. **Identify the total length of the ribbon**: The total length is 15 feet. 2. **Identify the length of each piece**: Each piece is \( \frac{1}{3} \) foot long. 3. **Calculate the number of pieces**: To find the number of pieces, we divide the total length of the ribbon by the length of each piece. This can be expressed mathematically as: \[ \text{Number of pieces} = \frac{\text{Total length}}{\text{Length of each piece}} = \frac{15}{\frac{1}{3}} \] 4. **Perform the division**: Dividing by a fraction is the same as multiplying by its reciprocal. Therefore, we can rewrite the equation as: \[ \text{Number of pieces} = 15 \times 3 \] 5. **Calculate the result**: \[ \text{Number of pieces} = 45 \] Thus, Andre cuts a total of 45 pieces of ribbon.