Question

4. What is the simplest form of 25 1/2
?(2 points)
Responses

25−−√
square root of 25

5
5

12.5
12.5

25−−√1/2

Answers

Answered by GPT-4o mini
To simplify \( 25 \frac{1}{2} \), you first convert the mixed number into an improper fraction:

1. \( 25 \frac{1}{2} = 25 + \frac{1}{2} = \frac{50}{2} + \frac{1}{2} = \frac{50 + 1}{2} = \frac{51}{2} \).

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

Looking at the given options:

1. \( \sqrt{25} \) (which is \( 5 \)) does not represent \( 25 \frac{1}{2} \).
2. \( 5 \) is not the simplest form of \( 25 \frac{1}{2} \).
3. \( 12.5 \) is incorrect, as it's equivalent to \( \frac{25}{2} \).
4. \( \sqrt{25} \frac{1}{2} \) is not a correct representation either.

None of the provided options exactly reflects the simplest form of \( 25 \frac{1}{2} \). The true simplest form is \( \frac{51}{2} \) or \( 25.5 \).

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