To find the number of minutes read per page and the number of pages read per minute, we can use the following calculations.
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Total pages read: 22 1/2 pages can be converted to an improper fraction: \[ 22 \frac{1}{2} = \frac{22 \times 2 + 1}{2} = \frac{44 + 1}{2} = \frac{45}{2} \text{ pages} \]
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Total time spent reading: 30 minutes.
Now, let's calculate the number of minutes read per page:
\[ \text{Minutes per page} = \frac{\text{Total minutes}}{\text{Total pages}} = \frac{30 \text{ minutes}}{\frac{45}{2} \text{ pages}} \]
To divide by a fraction, we multiply by its reciprocal:
\[ \text{Minutes per page} = 30 \times \frac{2}{45} = \frac{60}{45} = \frac{4}{3} \text{ minutes per page} \approx 1.33 \text{ minutes per page} \]
Next, we'll calculate the number of pages read per minute:
\[ \text{Pages per minute} = \frac{\text{Total pages}}{\text{Total minutes}} = \frac{\frac{45}{2} \text{ pages}}{30 \text{ minutes}} \]
Again, we divide by 30:
\[ \text{Pages per minute} = \frac{45}{2} \times \frac{1}{30} = \frac{45}{60} = \frac{3}{4} \text{ pages per minute} = 0.75 \text{ pages per minute} \]
In summary:
- Minutes read per page: \(\frac{4}{3}\) minutes (about 1.33 minutes)
- Pages read per minute: \(\frac{3}{4}\) pages (0.75 pages)