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How do you write 16\frac{1}{6} as a decimal?\newlineChoices:\newline(A) 00.116\overline{6}\newline(B) 00.1\overline{1}\newline(C) 00.006\overline{6}\newline(D) 00.883\overline{3}

Full solution

Q. How do you write 16\frac{1}{6} as a decimal?\newlineChoices:\newline(A) 00.116\overline{6}\newline(B) 00.1\overline{1}\newline(C) 00.006\overline{6}\newline(D) 00.883\overline{3}
  1. Divide and Convert: Divide the numerator by the denominator to convert the fraction into a decimal; 11 divided by 66 equals approximately 0.16660.1666\ldots, which repeats indefinitely.
  2. Recognize Repeating Pattern: Recognize the repeating decimal pattern in the result; the digit 66 repeats.
  3. Write Repeating Decimal: Write the decimal with the repeating digit underlined or in parentheses to indicate the repetition; this is represented as 0.1(6)0.1(6).

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