Pat watched 7 hr 20 min of television each day this week. How many hours were spent watching television this week? Write your answer as a mixed number, e.g., \( 13 \frac{1}{2} \).
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To find out how many hours Pat spent watching television this week, we first need to convert the daily viewing time into hours. Pat watched 7 hours and 20 minutes each day. Since there are 60 minutes in an hour, 20 minutes is \( \frac{20}{60} = \frac{1}{3} \) hours. So, each day, Pat watched \( 7 \frac{1}{3} \) hours of television. Now, for a week (7 days): \( 7 \frac{1}{3} \times 7 = 7 \times 7 + 7 \times \frac{1}{3} \) \( = 49 + \frac{7}{3} \) To combine these, we need a common denominator. Convert 49 to a fraction: \( 49 = \frac{147}{3} \) So now, \( \frac{147}{3} + \frac{7}{3} = \frac{154}{3} \) Now, convert \( \frac{154}{3} \) to a mixed number. \( 154 \div 3 = 51 \) R1, so \( \frac{154}{3} = 51 \frac{1}{3} \) Thus, the total amount of time spent watching television this week is \( 51 \frac{1}{3} \) hours.