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Mathematics

Which of the following numbers has non-terminating repeating decimal expansion ?

  1. 1180\dfrac{11}{80}

  2. 17160\dfrac{17}{160}

  3. 63240\dfrac{63}{240}

  4. 93420\dfrac{93}{420}

Rational Irrational Nos

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Answer

1180\dfrac{11}{80} = 0.1375 has terminating decimal expansion.

17160\dfrac{17}{160} = 0.10625 has terminating decimal expansion.

63240\dfrac{63}{240} = 0.2625 has terminating decimal expansion.

93420\dfrac{93}{420} = 0.221428571..has non-terminating repeating decimal expansion.

∴ Option 4, is the correct option.

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