Iris completes \( \frac{2}{3} \) of the floor in \( \frac{1}{3} \) of an hour.
To find out how long it will take her to complete the entire floor, we can set up a proportion. If \( \frac{2}{3} \) of the floor takes \( \frac{1}{3} \) of an hour, we can represent the entire floor as follows:
If \( \frac{2}{3} \) of the floor takes \( \frac{1}{3} \) of an hour, then:
\[ 1 \text{ whole floor} = \text{time taken to complete } \frac{3}{2} \times \frac{1}{3} \text{ hours} \]
Calculating this gives:
\[ \text{Time for 1 floor} = \frac{1}{3} \div \frac{2}{3} = \frac{1}{3} \times \frac{3}{2} = \frac{1}{2} \text{ hours} \]
Therefore, it will take her \( \frac{1}{2} \) hours to complete the entire floor.
Thus, the answer is:
Start Fraction 1 over 2 End Fraction hours
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