Pregunta
11. [-/5.55 Points] DETAILS MY NOTES AUMO Write \( 380 \% \) as a decimal and as a fraction. decimal fraction
Ask by Henry Campbell. in the United States
Mar 10,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\(380\%\) as a decimal is \(3.8\) and as a fraction is \(\frac{19}{5}\).
Solución
1. Convert the percentage to a decimal:
- Divide by 100:
\[
380\% = \frac{380}{100} = 3.8
\]
2. Convert the percentage to a fraction:
- Start with the fraction form of the percentage:
\[
380\% = \frac{380}{100}
\]
- Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is \(20\):
\[
\frac{380}{100} = \frac{380 \div 20}{100 \div 20} = \frac{19}{5}
\]
Thus, \(380\%\) as a decimal is \(3.8\) and as a fraction is \(\frac{19}{5}\).
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Como
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The Deep Dive
To convert \(380\%\) to a decimal, you simply divide by 100. So, \(380 \div 100 = 3.8\). For the fraction, you can express it as \(380\) over \(100\) which simplifies to \( \frac{38}{10} \) and can be reduced further to \( \frac{19}{5} \). So, \(380\%\) is \(3.8\) as a decimal and \( \frac{19}{5} \) as a fraction!

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