Matematika

Pertanyaan

Tentukan KPK dan FPB dari:
A. 12a²b dan 15abc
B. 24p²q²r,32pq²s,dan 72q³r²s³

Tolong pakai cara ya!! :)

2 Jawaban

  • a) 12a²b = 2² × 3 × a² × b
    15abc = 3 × 5 × a × b × c
    kpk = 2² × 3 × 5 × a² × b × c = 60a²bc
    fpb = 3 × a × b = 3ab

    b) 24p²q²r = 2³ × 3 × p² × q² × r
    32pq²s = 2^5 × p × q² × s
    72q³r²s³ = 2³ × 3² × q³ × r² × s³
    kpk = 2^5 × 3² × p² × q³ × r² × s³
    = 288p²q³r²s³
    fpb = 2³ × q² = 8q²
  • a)
    12a²b = 2² x 3 x a² x b
    15abc = 3 x 5 x a x b x c
    maka,
    KPK
    = 2² x 3 x 5 x a² x b x c
    = 4x3x5 a²bc
    = 60 a²bc

    FPB
    = 3 x a x b
    = 3ab


    b)
    24p²q²r = 2^3 x 3 x p² x q² x r
    32pq²s = 2^5 x p x q² x s
    72q^3 r² s^3 = 2^3 x 3² x q^3 x r² x s^3
    maka,
    KPK
    = 2^5 x 3² x p² x q^3 x r² x s^3
    = 32 x 9 x p²q^3 r² s^3
    = 288 p²q^3 r² s^3

    FPB
    = 2^3 x q²
    = 8q²

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