To convert 2 hours and 45 minutes into an improper fraction, first convert the hours into minutes: 2 hours is 120 minutes. Adding the 45 minutes gives a total of 165 minutes. To express this as an improper fraction of hours, divide by 60 (the number of minutes in an hour), resulting in ( \frac{165}{60} ). This can be simplified to ( \frac{11}{4} ) hours.
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