A machinist must cut 12 strips of metal that are each \( 2 \mathrm{ft} 6 \frac{7}{8} \) in. long. What is the total length needed in inches? The total length of the piece of metal needed is \( \square \mathrm{in} \).

To find the total length of metal needed, follow these steps: 1. **Convert the Length of One Strip to Inches:** - **Feet to Inches:** \( 2 \, \text{ft} = 2 \times 12 = 24 \, \text{in} \) - **Add the Inches:** \( 24 \, \text{in} + 6 \frac{7}{8} \, \text{in} = 30 \frac{7}{8} \, \text{in} \) 2. **Calculate the Total Length for 12 Strips:** - Multiply the length of one strip by 12: \[ 12 \times 30 \frac{7}{8} \, \text{in} = 12 \times \frac{247}{8} \, \text{in} = \frac{12 \times 247}{8} \, \text{in} = \frac{2964}{8} \, \text{in} = 370.5 \, \text{in} \] - Alternatively, as a mixed number: \[ 370 \frac{1}{2} \, \text{in} \] **Final Answer:** The total length of the piece of metal needed is \( 370\, \frac{1}{2} \) in.