Question

What is the simplest form of 25 1/2
?

(2 points)
Responses

25−−√
square root of 25

5
5

12.5
12.5

25−−√12

Answer 1

To simplify \( 25 \frac{1}{2} \), we first convert the mixed number into an improper fraction:

\[
25 \frac{1}{2} = \frac{25 \times 2 + 1}{2} = \frac{50 + 1}{2} = \frac{51}{2}
\]

Thus, the simplest form of \( 25 \frac{1}{2} \) is \( \frac{51}{2} \) or 25.5.

Since none of the provided options directly match 25.5, let's analyze them:

- \( \sqrt{25} \) = 5
- 5 (a number)
- 12.5
- \( \sqrt{25} \cdot 12 \)

The closest approximation based on the values given (if you're just rounding to a single decimal place of 25.5) is 12.5, which is not correct but could be mistakenly perceived as relevant.

Among the options, none clearly represent the simplest form of 25.5 or \( \frac{51}{2} \) directly.

Does that help clarify the simplest representation? If you meant something different or had other options in mind, please clarify!