Matematika

Pertanyaan

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tolong dijawab yaaaaaaaa

1 Jawaban

  • 1 + 1 / {2 + [1 / (3 + 1/×)]}
    selesaikan dari kurung paling dalam.

    (3 + 1/×)
    3 + 1/x = 3/1 + 1/x = (3x + 1)/x.

    [1 / (3x+1)/x]
    = 1/1 x x/(3x+1)
    = x/(3x+1)

    2 + [x/(3x+1)]
    = [x/(3x+1) + (6x+2)/(3x+1)]
    = (7x+2) / (3x+1)

    1 / [(7x+2) / (3x+1)]
    = 1/1 × (3x+1) / (7x+2)
    = (3x+1) / (7x+2)

    1 + [(3x+1) / (7x+2)]
    = [(7x+2) / (7x+2)] + [(3x+1) / (7x+2)]
    = (10x+3) / (7x+2)