Patricia studied for her social studies test for 4 1/2 hours, which can be written as \( 4.5 \) hours. Since she studied half as long for her science test, we can calculate the study time for her science test as follows:
\[ \text{Science study time} = \frac{1}{2} \times \text{Social studies study time} \] \[ \text{Science study time} = \frac{1}{2} \times 4.5 = 2.25 \text{ hours} \]
So, Patricia studied for 2 1/4 hours (or 2.25 hours) for her science test.
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