i-Ready Practice: Unit Rates for Ratios with Fractions - Quiz - Level G Which ratios have a unit rate greater than 1? Choose ALL that apply. (4)) \( \frac{1}{3} \) mile : \( 2 \frac{3}{8} \) hours 4)) \( \frac{9}{8} \) miles: \( \frac{5}{6} \) hour 4)) \( \frac{9}{5} \) miles : 3 hours 4) \( 2 \frac{1}{2} \) miles : 3 hours 『) 7 miles: \( \frac{3}{4} \) hour (4)) 4 miles: \( 3 \frac{1}{3} \) hours
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To find which ratios have a unit rate greater than 1, divide the first quantity (miles) by the second quantity (hours) for each ratio. If the result is greater than 1, that means the unit rate is greater than 1 mile per hour! For example, in the ratio \( 7 \) miles: \( \frac{3}{4} \) hour, the calculation is \( 7 \div \frac{3}{4} = 7 \times \frac{4}{3} = \frac{28}{3} \) or \( 9.\overline{3} \) miles per hour, which is indeed greater than 1. On the other hand, for \( \frac{1}{3} \) mile: \( 2 \frac{3}{8} \) hours, you would compute \( \frac{1}{3} \div 2.375 \) (as \(2 \frac{3}{8} = 2.375\)), which yields a unit rate of approximately \(0.13\), so that’s less than 1. Keep testing each ratio, and you’ll spot the winners! 🎉