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RRB NTPC Graduate Tier 1 2025 Shift-1 📅 09 Jun, 2025

The fraction equivalent to 8.27272... is:

A
91/11
B
89/8
C
84/17
D
83/12
Result Summary
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RRB NTPC Graduate Tier 1
2025 • 09 Jun, 2025 • Shift-1
The fraction equivalent to 8.27272... is:
Correct Answer
91/11
Algebraic Transformation: Let the variable x = 8.27272... This notation indicates that the two-digit block '27' repeats infinitely.Equation Setup: Multiply the ......
💡 Analysis & Explanation
Algebraic Transformation
Let the variable x = 8.27272... This notation indicates that the two-digit block '27' repeats infinitely.
Equation Setup
Multiply the foundational equation by 100 to shift the decimal point exactly past the first repeating block: 100x = 827.2727...
Subtraction Process
Subtract the original equation (x = 8.2727...) from the shifted equation (100x = 827.2727...). The infinitely repeating decimals cancel out, leaving: 99x = 819.
Simplification
Isolate x to find the fractional form: x = 819 / 99. To reduce this to its simplest terms, divide both the numerator and the denominator by their greatest common divisor, which is 9. 819 / 9 = 91, and 99 / 9 = 11.
Conclusion
The exact fractional equivalent is 91/11.