To find the amount of time Erin spends watching YouTube over a five-day period, we can consider that she watches \(\frac{8}{11}\) of an hour each day. Therefore, for five days, the total time would be represented by the following expressions:
- \(5 \times \frac{8}{11}\) – This expression multiplies the time spent each day by the number of days (5).
- \(\frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11}\) – This is the addition of the time spent each day over five days.
- \(\frac{40}{11}\) – This is the result of \(5 \times \frac{8}{11}\) or \(\frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11}\), simplified.
Therefore, the three correct expressions that represent the time Erin spends watching YouTube over a five-day period are:
- \(5 \times \frac{8}{11}\)
- \(\frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11}\)
- \(\frac{40}{11}\)
The other options like \(5 + \frac{8}{11}\), \( \frac{13}{11}\), and \( \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11}\) do not correctly calculate the total time for five days.
Here are the three valid expressions:
- \(5 \times \frac{8}{11}\)
- \(\frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11}\)
- \(\frac{40}{11}\)
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