To determine the percentage of the motorcycle that Paul paid for right away, we start with the given fraction [tex]\(\frac{1}{4}\)[/tex].
1. Understanding Fractions and Percentages:
- A fraction represents a part of a whole.
- To convert a fraction to a percentage, we multiply the fraction by 100.
2. Conversion Process:
- We have the fraction [tex]\(\frac{1}{4}\)[/tex].
- Multiply this fraction by 100 to convert it to a percentage:
[tex]\[
\frac{1}{4} \times 100
\][/tex]
3. Perform the Multiplication:
- Calculate [tex]\(\frac{1}{4} \times 100\)[/tex]:
[tex]\[
0.25 \times 100 = 25
\][/tex]
4. Conclusion:
- Therefore, [tex]\( \frac{1}{4} \)[/tex] is equivalent to 25%.
- Thus, Paul paid 25% of the motorcycle right away.
Given the percentage options:
- 25%
- 14%
- 30%
- None of these choices are correct
The correct answer is [tex]\( 25\% \)[/tex].
