Matematika

Pertanyaan

Jika =2/3, =3/4,=5/6, maka hitunglah nilai dari:
a. pq + pr c. pq : r
b. pr − qr d. qr : p

2 Jawaban

  • Dik: p = 2/3
           q = 3/4
            r = 5/6
    Jwb:
    a. [tex] \frac{2}{3} × \frac{3}{4} [/tex] + [tex] \frac{2}{3} × \frac{5}{6} [/tex] = 1[tex] \frac{1}{18} [/tex]
    b. [tex] \frac{2}{3} × \frac{5}{6} - \frac{3}{4} × \frac{5}{6} [/tex] = -[tex] \frac{5}{72} [/tex]
    c. 2/3×3/4 : 5/6 = 3/5
    d. 3/4×5/6 : 2/3 = 15/16
  • p = 2/3 q = 3/4 r = 5/6

    a. pq + pr = (2/3 x 3/4) + (2/3 x 5/6)
    = 6/12 + 10/18
    = 18/36 + 20/36
    = 38/36
    = 19/18
    = 1 1/18

    b.pr - qr = (2/3 x5/6) - (3/4 x 5/6)
    = 10/18 - 15/24
    = 40/72 - 45/72
    = -5/72

    c. pq : r = 2/3 x 3/4 : 5/6
    = 2/3 x 3/4 x6/5
    = 36/60
    = 3/5

    d. qr : p = 3/4 x 5/6 : 2/3
    = 3/4 x 5/6 x 3/2
    = 45/48
    = 15/16

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