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How do you write 0.16‾0.1\overline{6} as a fraction?\newlineChoices:\newline(A) 16\frac{1}{6}\newline(B) 14\frac{1}{4}\newline(C) 112\frac{1}{12}\newline(D) 111\frac{1}{11}

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Convert between repeating decimals and fractionsright chevron icon

Full solution

Q. How do you write 0.16‾0.1\overline{6} as a fraction?\newlineChoices:\newline(A) 16\frac{1}{6}\newline(B) 14\frac{1}{4}\newline(C) 112\frac{1}{12}\newline(D) 111\frac{1}{11}
  1. Understand decimal 0.1{6}0.1\{6\}: Step 11: Understand the repeating decimal 0.1{6}0.1\{6\} means 0.16666...0.16666...
  2. Multiply by 1010: Step 22: Multiply xx by 1010 to shift the decimal point.
  3. Set up equation: Step 33: Set up an equation to eliminate the repeating part.
  4. Solve for x: Step 44: Solve for xx by dividing both sides by 99.

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