Pregunta
Write 0.725 as a percent and as a simplified fraction. o \( 72.5 \% \) and \( \frac{29}{40} \) \( .7 .25 \% \) and \( \frac{725}{1000} \) o \( 725 \% \) and \( \frac{725}{1} \) - \( 72.5 \% \) and \( \frac{29}{4} \)
Ask by Bob Ford. in the United States
Jan 25,2025
Solución de tutoría real
Respuesta verificada por el tutor
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0.725 is equal to 72.5% and \(\frac{29}{40}\).
Solución
To convert **0.725** to a percent and a simplified fraction:
1. **As a Percent:**
\[
0.725 \times 100 = 72.5\%
\]
2. **As a Simplified Fraction:**
\[
0.725 = \frac{725}{1000}
\]
Simplify the fraction by dividing both numerator and denominator by 25:
\[
\frac{725 \div 25}{1000 \div 25} = \frac{29}{40}
\]
**Correct Answer:**
\[
72.5\% \quad \text{and} \quad \frac{29}{40}
\]
This corresponds to the first option you provided:
- \( 72.5 \% \) and \( \frac{29}{40} \)
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Simplifique esta solución The Deep Dive
To express 0.725 as a percent, you multiply it by 100, which gives you 72.5%. To convert it to a simplified fraction, you can write 0.725 as \( \frac{725}{1000} \). Simplifying this by dividing both the numerator and denominator by 25 gives you \( \frac{29}{40} \). Now, while some might be tempted to confuse parts of the conversion, it's essential to remember that percentages are simply a way to express numbers in relation to 100. So, 0.725 being 72.5% is straightforward, and when converting to fractions, finding the greatest common divisor makes the simplification a breeze!
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