Find the unit rate. \( 21 \frac{3}{4} \) meters in \( 2 \frac{1}{2} \) hours The unit rate is \( \square \) meters per hour.
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To find the unit rate, you first convert the mixed numbers into improper fractions. \( 21 \frac{3}{4} \) meters becomes \( \frac{87}{4} \) meters and \( 2 \frac{1}{2} \) hours becomes \( \frac{5}{2} \) hours. Now, divide the total meters by the total hours: \[ \frac{87}{4} \div \frac{5}{2} = \frac{87}{4} \times \frac{2}{5} = \frac{174}{20} = 8.7 \] So, the unit rate is \( 8.7 \) meters per hour. This type of calculation is super useful in real life! For example, if you were tracking your running distance over time or even measuring the rate of materials in construction, knowing how much you achieve in a given period can help you plan and optimize your activities. A common mistake during this calculation is forgetting to convert mixed numbers into improper fractions before performing division. Make sure to always double-check your conversions to keep your math accurate and avoid confusion!