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Which decimal is equivalent to 611\frac{6}{11}?\newlineChoices:\newline(A) 6.116.11\newline(B) 0.540.54\newline(C) 0.6110.611\newline(D) 0.54‾0.\overline{54}

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Checkpoint: Rational and irrational numbersright chevron icon

Full solution

Q. Which decimal is equivalent to 611\frac{6}{11}?\newlineChoices:\newline(A) 6.116.11\newline(B) 0.540.54\newline(C) 0.6110.611\newline(D) 0.54‾0.\overline{54}
  1. Convert to decimal: Step 11: Convert the fraction 611\frac{6}{11} into a decimal by division.\newlineCalculation: 6÷11=0.54545454...6 \div 11 = 0.54545454... (repeating decimal).
  2. Identify matching decimal: Step 22: Identify the decimal that matches the result from Step 11 among the given choices.\newlineCalculation: Compare 0.54545454…0.54545454\ldots to each choice.\newline(A) 6.116.11 is way too high.\newline(B) 0.540.54 is close but not exact.\newline(C) 0.6110.611 is also not correct.\newline(D) 0.54‾0.\overline{54} represents 0.545454…0.545454\ldots which is a repeating decimal.

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