Matematika

Pertanyaan

bilangan desimal 0,21112111211...dapat dinyatakan dalam bentuk pecahan sederhana m/n nilai n- 3m = ....

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  • Misalkan:

               x =       0,211121112111...
    10.000x = 2.111,211121112111...
    ___________________________-
    -9.999x = -2.111
    x = 2.111 ÷ 9.999
    x = [tex] \frac{2.111}{9.999} [/tex]
    [tex] \frac{m}{n}=\frac{2.111}{9.999} [/tex]

    m = 2.111
    n = 9.999

    n - 3m
    = 9.999 - 3(2.111)
    = 9.999 - 6.333
    = 3.666

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