Question
Olivia set aside 5/6 of an hour for homework after school each day. How many hours of homework does she do in 5 days?
41/6 hours
50 minutes
31/2 hours
41/2 hours
41/6 hours
50 minutes
31/2 hours
41/2 hours
Answers
GPT-4o mini
To find out how many hours of homework Olivia does in 5 days, we start with the amount of time she spends on homework each day, which is \( \frac{5}{6} \) of an hour.
Now, we can calculate the total time spent on homework over 5 days by multiplying:
\[
\text{Total homework time} = \frac{5}{6} \times 5
\]
Calculating this gives:
\[
\frac{5 \times 5}{6} = \frac{25}{6} \text{ hours}
\]
Next, let's convert \( \frac{25}{6} \) hours into a more understandable form. To do this, we can divide \( 25 \) by \( 6 \):
\[
25 \div 6 = 4 \quad \text{R} 1
\]
This means that:
\[
\frac{25}{6} = 4 \frac{1}{6} \text{ hours}
\]
Now, let's convert \( \frac{1}{6} \) of an hour into minutes. Since 1 hour = 60 minutes, we can calculate:
\[
\frac{1}{6} \times 60 = 10 \text{ minutes}
\]
Thus, \( \frac{25}{6} \) hours can also be expressed as:
\[
4 \text{ hours and } 10 \text{ minutes}
\]
So the total amount of homework Olivia does in 5 days is \( 4 \frac{1}{6} \) hours, or 4 hours and 10 minutes.
Among the given options, the closest match is:
**41/2 hours** (though this is not exactly correct; the conversion is not represented correctly in the options). The correct answer, based on our calculations, is \( 4 \frac{1}{6} \) hours, or 4 hours and 10 minutes.
None of the provided options precisely match this calculation. However, if the intention was to round or use a specific available choice, **31/2 hours** is closer to \( 4 \frac{1}{6} \) than **41/2 hours**.
It is important to note that the correct interpretation of 4 hours and 10 minutes has not correctly been reflected by any of the options provided. Please let me know if you would like to clarify, or if there's more information!
Now, we can calculate the total time spent on homework over 5 days by multiplying:
\[
\text{Total homework time} = \frac{5}{6} \times 5
\]
Calculating this gives:
\[
\frac{5 \times 5}{6} = \frac{25}{6} \text{ hours}
\]
Next, let's convert \( \frac{25}{6} \) hours into a more understandable form. To do this, we can divide \( 25 \) by \( 6 \):
\[
25 \div 6 = 4 \quad \text{R} 1
\]
This means that:
\[
\frac{25}{6} = 4 \frac{1}{6} \text{ hours}
\]
Now, let's convert \( \frac{1}{6} \) of an hour into minutes. Since 1 hour = 60 minutes, we can calculate:
\[
\frac{1}{6} \times 60 = 10 \text{ minutes}
\]
Thus, \( \frac{25}{6} \) hours can also be expressed as:
\[
4 \text{ hours and } 10 \text{ minutes}
\]
So the total amount of homework Olivia does in 5 days is \( 4 \frac{1}{6} \) hours, or 4 hours and 10 minutes.
Among the given options, the closest match is:
**41/2 hours** (though this is not exactly correct; the conversion is not represented correctly in the options). The correct answer, based on our calculations, is \( 4 \frac{1}{6} \) hours, or 4 hours and 10 minutes.
None of the provided options precisely match this calculation. However, if the intention was to round or use a specific available choice, **31/2 hours** is closer to \( 4 \frac{1}{6} \) than **41/2 hours**.
It is important to note that the correct interpretation of 4 hours and 10 minutes has not correctly been reflected by any of the options provided. Please let me know if you would like to clarify, or if there's more information!