To convert the fraction represented by "811%0D%0A8%0D%0A11%0D%0A" to a decimal, we first need to clarify its form. It seems to have extraneous characters ("%0D%0A") that should be removed. It looks like we're dealing with the number \( \frac{811}{811} + \frac{8}{11} \).
Let's simplify the components step by step.
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Start with \( \frac{811}{8} \): \[ 811 \div 8 = 101.375 \]
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Next, we deal with \( \frac{8}{11} \): To convert \( \frac{8}{11} \) into a repeating decimal, we perform long division:
- \( 8 \div 11 = 0.727272...\), where "72" repeats.
Combining the two parts:
- The integer part from \( \frac{811}{8} \) is \( 101 \).
- From \( \frac{8}{11} \), the decimal form is \( 0.727272...\).
Therefore, adding these together: \[ 101.375 + 0.727272... = 101.375 + 0.72\overline{72} \]
Thus, when expressed as a repeating decimal, the final result is: \[ \approx 101.375 + 0.\overline{72} \]
So, the repeated decimal expression could be more simply given as \( 101.375\overline{72} \) (indicating that after the decimal point we go from 375 into repeating 72).
Overall, combining all parts, we can conclude: \[ \text{Final repeating decimal is } 101.375\overline{72}. \]
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