Matematika

Pertanyaan

Jika a : b = 3 : 4, maka (6a + b) : (4a :5b) adalah

1 Jawaban

  • a/b = 3/4. a = 3b/4. b = 4a/3
    maka ;
    (6a + b) : (4a:5b) = (6a + 4a/3) : ( 4a : (5 x 4a/3))
    = (18a/3 + 4a/3) : (12a/3 : 20a/3)
    = 22a/3 : (36a/60a)
    = 22a/3 : 3a/5a
    = 110a^2 / 9a
    = (110x a x a) / 9a
    = 110a/9
    110a = 9
    a = 9/110

    b = 4a/3 = (4 x 9/110)/3
    = ( 36/110)/3
    = 11/110
    = 1/10

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