Let's analyze Erin's daily watch time and what represents her total watch time over a five-day period.
Erin watches \( \frac{8}{11} \) of an hour each day.
To find the total time Erin spends watching YouTube over a five-day period, we can multiply her daily watch time by 5:
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Multiplication Expression:
- \( 5 \times \frac{8}{11} \) (This correctly represents her total time over five days.)
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Adding Daily Watch Time:
- \( \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} \) (This correctly represents her total time as well, since it adds up her daily watch time for five days.)
Now, let's check the responses provided:
- \( 5 \times \frac{8}{11} \) (5 times 8 over 11): ✔ (This is correct.)
- \( 5 + \frac{8}{11} \) (5 plus 8 over 11): ✖ (This is not correct; this adds instead of multiplying.)
- \( \frac{40}{11} \): ✔ (This is equivalent to \( 5 \times \frac{8}{11} \) and represents the correct total time.)
- \( \frac{13}{11} \): ✖ (This is not correct; it doesn’t represent the total time.)
- \( \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} \): ✔ (This represents the total time correctly.)
The correct expressions are:
- \( 5 \times \frac{8}{11} \)
- \( \frac{40}{11} \)
- \( \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} \)
So, the final three correct options are:
- \( 5 \times \frac{8}{11} \)
- \( \frac{40}{11} \)
- \( \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} \)