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Quantitative Aptitude

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Example 10: Recurring decimal

Last Updated On: Fri Aug 28 2026

Question

Convert 0.272727... into a fraction in simplest form.

Solution

  1. Let x = 0.272727... .
  2. Then 100x = 27.272727... . Subtracting x gives 99x = 27.
  3. x = 27/99 = 3/11.
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