Fractions

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Change 1.01 to a fraction

Book says answer is 100/99.

not clear why?

  • Fractions -

    1.010101...
    multiply by 100
    101.0101.... subtract the original number
    xx1.0101...
    result is 100.

    So let the original number be n
    100n-n=100
    n(100-1)=100
    n=100/99
    QED

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