To find Carrie's reading rate in pages per hour, we first need to convert the time from minutes to hours, then calculate the reading rate.
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Convert time from minutes to hours: \[ 12 \text{ minutes} = \frac{12}{60} \text{ hours} = \frac{1}{5} \text{ hours} \]
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Determine the number of pages read: Carrie read \(5 \frac{1}{2}\) pages, which can be converted to an improper fraction: \[ 5 \frac{1}{2} = \frac{11}{2} \text{ pages} \]
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Calculate the reading rate in pages per hour: The reading rate (in pages per hour) can be found using the formula: \[ \text{Rate} = \frac{\text{Pages}}{\text{Time in hours}} = \frac{\frac{11}{2} \text{ pages}}{\frac{1}{5} \text{ hours}} \]
When dividing by a fraction, multiply by its reciprocal: \[ \text{Rate} = \frac{11}{2} \times \frac{5}{1} = \frac{11 \times 5}{2} = \frac{55}{2} \text{ pages per hour} \]
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Convert this to a mixed number for better understanding: \[ \frac{55}{2} = 27 \frac{1}{2} \text{ pages per hour} \]
Therefore, the rate at which Carrie read is 27 1/2 pages per hour.
The correct answer is C) 27 1/2.