5. How many \( 6-1 / 2^{\prime \prime} \) long pleces can be cut from a \( 56^{\prime} \) long piece of angle iron? (make sure the units match)
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To solve this, convert the lengths into the same units. The \( 56^{\prime} \) piece of angle iron equals \( 56 \times 12 = 672 \) inches. The length of each piece is \( 6.5^{\prime\prime} \). Now, divide the total length of the angle iron by the length of one piece: \[ \frac{672 \text{ inches}}{6.5 \text{ inches}} \approx 103.08 \] You can cut \( 103 \) pieces from the angle iron after rounding down since you can't have a fraction of a piece. To avoid mistakes, always double-check your unit conversions and calculations. It's easy to mix feet and inches or misplace a decimal point! A great strategy is to write out each conversion step clearly or use a calculator to confirm your math. It saves time and potential headaches later on!