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12 December, 04:51

What is the fraction form of the following decimal expansion?

0.81__ (the 81 is repeating)

A. 12/11

B. 10/11

C. 8/11

D. 9/11

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Answers (2)
  1. 12 December, 05:00
    0
    The correct answer is D.
  2. 12 December, 05:05
    0
    Let x = 0.8181

    10x = 8.1818

    100x = 81.8181

    100x - x = 99x

    99x = 81

    99x/99 = 81/99

    X = 9/11

    0.8181 (recurring) = 9/11
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