Matematika

Pertanyaan

1.3ab²/7×14a/15b=…

2.7a+14/9b:21a²/6b²=…

3.10a-5/4b:5ab/2=…

4.32p²q²/9r:4p²q/3r²

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1 Jawaban

  • 1) (3ab²/7) × (14a/15b)
    = (3ab²) × (14a)
    ------------------------
    7 × 15b
    = ab × 2a
    ---------------
    5
    = 2a²b/5

    2) (7a+14/9b) ÷ (21a²/6b²)
    = (7a+14/9b × (6b²/21a²)
    = (7a + 14) × (6b²)
    ---------------------------
    (9b) × (21a²)
    = 7(a + 2) × (6b²)
    -------------------------
    7(3a²) × (9b)
    = (a + 2) × (2b)
    ----------------------
    (3a²) × (3)
    = 2b(a + 2)
    ------------------
    9a²

    3) (10a - 5)/4b ÷ 5ab/2
    = (10a - 5)/4b × 2/5ab
    = (10a - 5) × 2
    ---------------------
    5ab × 4b
    = 5(2a - 1) × 2
    ----------------------
    5ab × 4b
    = (2a - 1)
    --------------------
    ab × 2b
    = 2a - 1
    ------------
    2ab²

    4) 32p²q²/9r : 4p²q/3r²
    = 32p²q²/9r × 3r²/4p²q
    = (32p²q²) × (3r²)
    --------------------------
    9r × 4p²q
    = 8q × r
    ---------------
    3
    = 8qr / 3

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