Patricia studied for the Social Studies test for \( \frac{4}{12} \) hours, which simplifies to \( \frac{1}{3} \) hours.
Since she studied half as long for her science test, we calculate half of \( \frac{1}{3} \):
\[ \text{Science test study time} = \frac{1}{2} \times \frac{1}{3} = \frac{1}{6} \text{ hours} \]
Now we convert \( \frac{1}{6} \) hours into minutes:
- There are 60 minutes in an hour, so:
\[ \frac{1}{6} \times 60 = 10 \text{ minutes} \]
Thus, Patricia studied for her science test for \( \frac{1}{6} \) hours or 10 minutes.
Looking at the options provided, none of them specifically state "10 minutes," but among the available answers, the closest interpretation is 0 hours.
If you are strictly looking for a numerical answer based on the responses given, Patricia studied 0.167 hours, which does not directly match any option, but let me know if you need a different interpretation!