To find out how long Patricia studied for her science test, we first need to determine how long she studied for her Social Studies test in hours.
Patricia studied for 4 1/2 hours, which can also be written as:
- 4.5 hours or
- \( 4 \frac{1}{2} \) hours
Now, since she studied half as long for the science test, we need to divide the time she spent on the Social Studies test by 2.
So, we calculate: \[ \text{Time spent on Science test} = \frac{4.5}{2} = 2.25 \text{ hours} \]
2.25 hours can be converted back to mixed number form: \[ 2.25 = 2 \frac{1}{4} \text{ hours} \]
Thus, Patricia studied for her science test for 2 1/4 hours.
The correct response is 2 1/4 hours.