Patricia studied 4 1/2

hours for her Social Studies test. She studied half as long for her science test as she did for the Social Studies test. How long did she study for the science test?(1 point)
Responses

12
hour
1 half hour

9 hours
9 hours

212
hours
2 and 1 half hours

2 1/4
hours

1 answer

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.

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