Question
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The fraction \( \frac{10}{11} \) is equivalent to what percent? Round your percent to the nearest tenth. \( \frac{10}{11} \) is approximately

Ask by Stanley Best. in the United States
Feb 03,2025

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Tutor-Verified Answer

Answer

\(\frac{10}{11}\) is approximately 90.9%.

Solution

To convert the fraction \( \frac{10}{11} \) to a percentage, follow these steps: 1. **Divide the numerator by the denominator:** \[ \frac{10}{11} \approx 0.9090909 \] 2. **Multiply the result by 100 to get the percentage:** \[ 0.9090909 \times 100 \approx 90.9090909\% \] 3. **Round to the nearest tenth of a percent:** \[ 90.9090909\% \approx 90.9\% \] Therefore, \[ \frac{10}{11} \text{ is approximately } 90.9\%. \]

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Bonus Knowledge

To convert the fraction \( \frac{10}{11} \) to a percent, you can divide 10 by 11, which equals approximately 0.9091. To find the percentage, multiply by 100, resulting in 90.91%. Rounding this to the nearest tenth gives you 90.9%. So, \( \frac{10}{11} \) is approximately 90.9%.

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