Pregunta
How do you write \( \mathbf{2 5 \%} \) as a fraction?
Ask by Rojas Chen. in the United States
Mar 20,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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\( 2.5\% \) as a fraction is \( \frac{1}{40} \).
Solución
To convert \( 2.5\% \) into a fraction, follow these steps:
1. **Understand the percentage**: The percentage \( 2.5\% \) means \( \frac{2.5}{100} \).
2. **Convert the decimal to a fraction**: The decimal \( 2.5 \) can be expressed as \( \frac{25}{10} \).
3. **Combine the fractions**: Now, we can write:
\[
2.5\% = \frac{2.5}{100} = \frac{25/10}{100}
\]
4. **Simplify the fraction**: This can be simplified by multiplying the numerator and the denominator by \( 10 \):
\[
\frac{25}{10} \div 100 = \frac{25}{1000}
\]
5. **Reduce the fraction**: Now, simplify \( \frac{25}{1000} \):
\[
\frac{25 \div 25}{1000 \div 25} = \frac{1}{40}
\]
Thus, \( 2.5\% \) as a fraction is \( \frac{1}{40} \).
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Simplifique esta solución Mind Expander
To convert \( 25\% \) to a fraction, start by remembering that percent means "per hundred." So, you can express \( 25\% \) as \( \frac{25}{100} \). Simplifying this fraction gives you \( \frac{1}{4} \) because both the numerator and the denominator can be divided by 25. Next, since you want to represent \( 2 5\% \), we combine the whole number 2 with the fraction we've just found. Thus, \( 2 5\% \) can be written as \( 2 + \frac{1}{4} \), which converts to \( \frac{8}{4} + \frac{1}{4} = \frac{9}{4} \) when put together. So, \( 2 5\% \) as a fraction is \( \frac{9}{4} \).
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