Question
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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., \( 13 \frac{1}{2} \).

Ask by Bernard Grant. in the United States
Jan 27,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

Pat spent a total of \(51 \frac{1}{3}\) hours watching television this week.

Solution

Pat watched television for 7 hours and 20 minutes each day. To find the total hours spent watching television in a week (7 days), follow these steps: 1. **Convert Daily Time to Hours:** - 20 minutes is \(\frac{20}{60} = \frac{1}{3}\) hours. - So, each day Pat watched \(7\frac{1}{3}\) hours. 2. **Calculate Weekly Total:** - Multiply the daily hours by 7 days: \[ 7 \times 7\frac{1}{3} = 7 \times \left(7 + \frac{1}{3}\right) = 49 + \frac{7}{3} = 49 + 2\frac{1}{3} = 51\frac{1}{3} \] Therefore, Pat spent a total of \(51 \frac{1}{3}\) hours watching television this week. \(\boxed{51 \frac{1}{3}}\)

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Beyond the Answer

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.

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