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

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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) 0.540.54\newline(B) 0.54‾0.\overline{54}\newline(C) 0.6110.611\newline(D) 6.116.11
  1. Convert to decimal: Step 11: Convert the fraction 611\frac{6}{11} into a decimal by dividing 66 by 1111.\newlineCalculation: 6÷11=0.54545454...6 \div 11 = 0.54545454...\newlineThis is a repeating decimal.
  2. Identify repeating part: Step 22: Identify the repeating part of the decimal.\newlineThe digits ＂5454＂ repeat.
  3. Match with choices: Step 33: Match the repeating decimal to the given choices.\newline0.54545454…0.54545454\ldots matches with choice (B) 0.54‾0.\overline{54}.

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