Matematika

Pertanyaan

Jika diketahui a= 1/3, b=3/4, c=2/5, tentukan nilai operasi berikut:
A. axbxc
B. ab-ac
C. (b-c) x a
D. 2ab : c
E. 2/3b - 1/2c

2 Jawaban

  • a. a×b×c
    = 1/3 x 3/4 x 2/5
    = 6/60
    = 1/10

    b. ab - ac
    = 1/3 x 3/4 - 1/3 x 2/5
    = 3/12 - 2/15
    = 1/4 - 2/15
    = 15 / 60 - 8 / 60
    = 7/60

    c.
    (b-c) x a
    = (3/4 - 2/5) x a
    = 15 / 20 - 8 / 20 x 1/3
    = 7/20 x 1/3
    = 7/60

    d.
    2ab : c
    = 2 . 1/3 . 3/4 : 2/5
    = 6/12 x 5/2
    = 1/2 x 5/2
    = 5/4

    e.......
  • Diketahui :
    A = 1 / 3
    B = 3 / 4
    C = 2 / 5

    Penyelesaian :
    A) A x B x C
    = (1/3) x (3/4) x (2/5)
    = (3/12) x (2/5)
    = 6 / 60
    = 1 / 10

    B) (A x B) - (A x C)
    = ( (1/3) x (3/4) ) - ( (1/3) x (2/5) )
    = (3/12) - (2/15)
    = (15/60) - (8/60)
    = 7 / 60

    C) (B - C) x A
    = ( (3/4) - (2/5) ) x (1/3)
    = ( (15/20) - (8/20) ) x (1/3)
    = (7/20) x (1/3)
    = 7 / 60

    D) 2A x B : C
    = 2 (1/3) x (3/4) : 2/5
    = (2/3) x (3/4) x (5/2) --> (dibalik)
    = (6/ 12) x (5/2)
    = 30 / 24
    = 15 / 12
    = 5 / 4

    E) 2/3 B - 1/2 C
    = ( (2/3) x (3/4) ) - ( (1/2) x (2/5) )
    = (6/12) - (2/10)
    = (30/60) - (12/60)
    = 18 / 60
    = 9 / 30
    = 3 / 10


    Semoga membantu ^_^

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