What is the simplest form of 25 1/2

?(1 point)
Responses

12.5
12.5

5
5

25−−√12
root index Start Fraction 1 over 2 End Fraction Start Root 25 End Root

25−−√

1 answer

To convert the mixed number \(25 \frac{1}{2}\) into its simplest form, first separate the whole number and the fraction:

  1. Convert the whole number to an improper fraction: \[ 25 = \frac{25 \times 2}{2} = \frac{50}{2} \]
  2. Add the fractional part: \[ 25 \frac{1}{2} = \frac{50}{2} + \frac{1}{2} = \frac{51}{2} \]

Thus, \(25 \frac{1}{2}\) in simplest form is \(\frac{51}{2}\).

If you are looking for decimal form: \[ \frac{51}{2} = 25.5 \]

However, from the responses you provided, if we simplify it to a decimal that corresponds to the options, we would round \(25.5\) down to \(25\) if needed; yet based on your spread of responses, it seems the most appropriate match from those choices would be the decimal response of \(12.5\) if we only take half of \(25\) which reflects teh fractional approach.

If the intention is to summarize \(25 \frac{1}{2}\) altogether then:

  • The best accurate choice based on numerical analysis directly from \( 25 \frac{1}{2}\) would be simply identified as potential half of the choice.

So, given your options, the most straightforward match for half of \(25\) is 12.5 as the expected answer.