Pregunta
Write \( 3.6 \% \) as a decimal and as a fraction. decimal fraction
Ask by Chandler Mullins. in the United States
Mar 10,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\( 3.6\% \) as a decimal is \( 0.036 \) and as a fraction is \( \frac{9}{250} \).
Solución
1. **Convert \( 3.6\% \) to a decimal:**
- Recall that "percent" means "per hundred," hence:
\[
3.6\% = \frac{3.6}{100}
\]
- Dividing by 100 shifts the decimal point two places to the left:
\[
\frac{3.6}{100} = 0.036
\]
2. **Convert \( 3.6\% \) (or \( 0.036 \)) to a fraction:**
- Write \( 0.036 \) as a fraction:
\[
0.036 = \frac{36}{1000}
\]
- Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is \( 4 \):
\[
\frac{36 \div 4}{1000 \div 4} = \frac{9}{250}
\]
**Answer:**
- Decimal: \( 0.036 \)
- Fraction: \( \frac{9}{250} \)
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Extra Insights
To convert \( 3.6 \% \) to a decimal, simply divide by 100. So, \( 3.6 \% = 3.6 \div 100 = 0.036 \). Easy peasy! For the fraction, take \( 3.6 \) and write it as \( \frac{36}{10} \) (since \( 3.6 \) has one decimal place). Now simplify it! Divide the numerator and denominator by 2 to get \( \frac{18}{5} \). Voilà!

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