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Which decimal is equivalent to 59\frac{5}{9}?\newlineChoices:\newline(A) 0.18‾0.1\overline{8}\newline(B) 0.5‾0.\overline{5}\newline(C) 0.9‾0.\overline{9}\newline(D) 0.18‾0.\overline{18}

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Checkpoint: Rational and irrational numbersright chevron icon

Full solution

Q. Which decimal is equivalent to 59\frac{5}{9}?\newlineChoices:\newline(A) 0.18‾0.1\overline{8}\newline(B) 0.5‾0.\overline{5}\newline(C) 0.9‾0.\overline{9}\newline(D) 0.18‾0.\overline{18}
  1. Convert to Decimal: Step 11: Convert the fraction 59\frac{5}{9} into a decimal by dividing 55 by 99.
  2. Identify Repeating Pattern: Step 22: Identify the repeating pattern in the decimal.
  3. Express as Repeating Decimal: Step 33: Express the repeating decimal using the notation for repeating decimals.
  4. Match with Choices: Step 44: Match the expression with the given choices.

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