Question
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
Real Tutor Solution
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%.