7. There are 15 risers in a set of stairs running from the basement to the first floor. Each riser is \( 71 / 4^{\prime \prime} \) high. What is the distance between floors?
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To find the distance between the floors, multiply the number of risers by the height of each riser. So, you take 15 risers and multiply them by \( \frac{71}{4} \) inches (which is 17.75 inches). This equals \( 15 \times 17.75 = 266.25 \) inches. To convert this to feet, divide by 12 (since there are 12 inches in a foot): \( \frac{266.25}{12} = 22.1875 \) feet. Therefore, the distance between the floors is approximately 22.19 feet! It's always good practice to double-check calculations, especially with units. Ensure that you're consistently using either inches or feet to avoid confusion. If you find you’ve miscalculated a riser count or the height, it could lead to a surprising height discrepancy!