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The fraction equivalent to 8.27272... is:

This question was previously asked in
RRB NTPC Graduate Level CBT-I Official Paper (Held On: 09 Jun, 2025 Shift 1)
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  1. \(\frac{84}{17}\)
  2. \(\frac{83}{12}\)
  3. \(\frac{89}{8}\)
  4. \(\frac{91}{11}\)

Answer (Detailed Solution Below)

Option 4 : \(\frac{91}{11}\)
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Detailed Solution

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Given:

The repeating decimal is 8.27272...

Formula used:

Let x = repeating decimal, then manipulate the equation to eliminate the repeating part.

Calculation:

Let x = 8.27272...

⇒ 100x = 827.27272... (Multiply by 100 to shift the repeating part)

⇒ 100x - x = 827.27272... - 8.27272... (Subtract to remove the repeating part)

⇒ 99x = 819

⇒ x = 819 / 99

⇒ x = 91 / 11

∴ The correct answer is option (4).

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