To determine how long it will take Iris to complete the entire floor, we first need to see how much of the floor she covers in one hour based on the information provided.
Iris completes \( \frac{23}{13} \) of the floor in one hour. To find out how long it will take her to complete the entire floor (which is 1 whole floor), we can set up a proportion:
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Find the rate of completion per hour:
- If Iris completes \( \frac{23}{13} \) of the floor in 1 hour, we need to calculate how many floors she can complete in 1 hour: \[ \text{Rate} = \frac{23/13 \text{ (floors)}}{1 \text{ (hour)}} = \frac{23}{13} \text{ floors/hour} \]
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Determine the time to complete 1 whole floor:
- To find out how long it takes for 1 whole floor, we find the reciprocal of her rate: \[ \text{Time to complete 1 floor} = \frac{1 \text{ floor}}{\frac{23}{13} \text{ floors/hour}} = \frac{13}{23} \text{ hours} \]
Thus, it will take Iris \( \frac{13}{23} \) hours to complete the entire floor. Since \( \frac{13}{23} \) is approximately \( 0.565 \) hours, you can convert it to a mixed number to provide clear options:
This is slightly more than half an hour, often said as:
\[ 0.565 \text{ hours} = \frac{1}{2} \text{ hours } + \text{ some minutes (about 34 minutes)} \]
Among the options given, the closest and best match is:
Start Fraction 1 over 2 End Fraction hours.