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Quantitative Aptitude

Logical Reasoning

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Example 9: Recurring decimal

Last Updated On: Fri Aug 28 2026

Question

Convert 0.454545... into a fraction in simplest form.

Solution

  1. Let x = 0.454545... .
  2. Then 100x = 45.454545... . Subtracting x gives 99x = 45.
  3. x = 45/99 = 5/11.
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