16. How many \( 8-7 / 8^{\prime \prime} \) long pieces can be cut from a \( 46^{\prime} \) long piece of angle iron?

To determine how many \( 8\frac{7}{8}'' \) (8 and 7/8 inches) long pieces can be cut from a \( 46' \) (46 feet) long piece of angle iron, follow these steps: 1. **Convert Feet to Inches:** \[ 46 \text{ feet} \times 12 \text{ inches/foot} = 552 \text{ inches} \] 2. **Convert \( 8\frac{7}{8}'' \) to a Decimal:** \[ 8\frac{7}{8}'' = 8 + \frac{7}{8} = 8.875'' \] 3. **Calculate the Number of Pieces:** \[ \frac{552 \text{ inches}}{8.875 \text{ inches/piece}} \approx 62.24 \] Since you can't have a fraction of a piece, you can only cut **62 full pieces**. 4. **Verify Remaining Length:** \[ 62 \text{ pieces} \times 8.875 \text{ inches/piece} = 550.25 \text{ inches} \] \[ 552 \text{ inches} - 550.25 \text{ inches} = 1.75 \text{ inches (remaining)} \] The remaining 1.75 inches is insufficient to cut another \( 8\frac{7}{8}'' \) piece. **Final Answer:** 62 full pieces of \( 8\frac{7}{8}'' \) each can be cut from a 46-foot long piece of angle iron.