Matematika

Pertanyaan

Hitunglah hasil operasi pecahan berikut.
a.(3/8+3/4)×(6/5:4/5)
b.(2 2/3× 1 3/4) - (1 1/3×1,75)
c.(7/10-1/5):(3/10+2/5)
d.(8/9-1/3) × (6/7:6/14)

1 Jawaban

  • A. (3/8 + 3/4) × (6/5 ÷ 4/5)

    (3×4/8×4 + 3×8/4×8) × (6/5 × 5/4)

    (12/32 + 24/32) × (6×5/4×5)

    36/32 × 30/20

    36×30/32×20

    1.080÷10/640÷10

    108÷4/64÷4

    27/16

    Desimal = 1,69

    Pecahan Campuran = 1 11/16


    B. (2 2/3 × 1 3/4) - (1 1/3 × 1,75)

    (8/3 × 7/4) - (4/3 × 175/100)

    (8×7/3×4) - (4×175/3×100)

    56/12 - 700/300

    56×300/12×300 - 700×12/300×12

    16.800/3.600 - 8.400/3.600

    8.400÷100/3.600÷100

    84÷6/36÷6

    14÷2/6÷2

    7/3

    Desimal = 2,4

    Pecahan Campuran = 2 1/3


    C. (7/10 - 1/5) ÷ (3/10 + 2/5)

    (7×5/10×5 - 1×10/5×10) ÷ (3×5/10×5 + 2×10/5×10)

    (35/50 - 10/50) ÷ (15/50 + 20/50)

    25/50 ÷ 35/50

    25/50 × 50/35

    25×50/50×35

    1.250÷125/1.750÷125

    10÷2/14÷2

    5/7

    Desimal = 0,71


    D. (8/9 - 1/3) × (6/7 ÷ 6/14)

    (8×3/9×3 - 1×9/3×9) × (6/7 × 14/6)

    (24/27 - 9/27) × (6×14/7×6)

    15/27 × 84/42

    15×84/27×42

    1.260÷6/1.134÷6

    210÷7/189÷7

    30÷3/27÷3

    10/9

    Pecahan campuran = 1 1/9

    Desimal = 1,2

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