To determine what fraction of a log Kate can use to fill the remaining \( \frac{1}{3} \) meters, we need to know the total length of the log. However, since you haven't provided the total length of the log, I can't give a specific fraction.
Here’s how you can find the fraction:
- Let \( L \) be the total length of the log.
- The fraction of the log needed to fill \( \frac{1}{3} \) meters is given by the formula:
\[ \text{Fraction of log used} = \frac{\text{length needed}}{\text{total length of the log}} = \frac{\frac{1}{3}}{L} \]
- If you specify the length of the log, you can substitute \( L \) into the formula to find the specific fraction.
For example:
- If the total length of the log is 1 meter, then: \[ \text{Fraction of log used} = \frac{\frac{1}{3}}{1} = \frac{1}{3} \]
- If the total length of the log is 2 meters, then: \[ \text{Fraction of log used} = \frac{\frac{1}{3}}{2} = \frac{1}{6} \]
Please provide the total length of the log if you would like a specific answer!