To find the simplest form of \( 25 \frac{1}{2} \), we can convert it to an improper fraction or a decimal.
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Convert \( 25 \frac{1}{2} \) to an improper fraction: \[ 25 \frac{1}{2} = \frac{25 \times 2 + 1}{2} = \frac{50 + 1}{2} = \frac{51}{2} \]
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Convert \( 25 \frac{1}{2} \) to a decimal: \[ 25 \frac{1}{2} = 25 + 0.5 = 25.5 \]
Now we compare the values you provided:
- \( 5 \)
- \( 12.5 \)
- \( 1/2 \sqrt{25} = 1/2 \times 5 = 2.5 \)
- \( \sqrt{25} = 5 \)
The simplest representation of \( 25 \frac{1}{2} \) from your list corresponds to:
- None of the options directly represent \( 25.5 \).
So, the simplest form of \( 25 \frac{1}{2} \) can be expressed as \( \frac{51}{2} \) or \( 25.5 \).