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Langkah-Langkah Mudah Mencari Rumus KPK dan FPB Paling Mudah Pelajaran Matematika Kelas 6

Langkah-Langkah Mudah Mencari Rumus KPK dan FPB Paling Mudah Pelajaran Matematika Kelas 6. akan menampilkan informasi yang anda cari. yang pasti kalian harus berdoa dulu ya sebelum belajar.

Sebenarnya apa itu FPB dan KPK? Sebelum terlalu dalam mempelajari bagaimana mencari rumus dari sesuatu, termasuk mencari rumus FPB dan KPK. Anda saya sarankan untuk memahami terlebih dahulu makna dari KPK dan FPB. Karena KPK dalam matematika bukan kepanjangan Komisi Pemberantas Korupsi, tetapi KPK mangandung makna Kelipatan Persekutuan Terkecil.

Materi FPB dan KPK

1. FPB
Dalam mencari FPB (faktor persekutuan terbesar), maka kita harus menentukan faktor persekutuan terbesar dari dua bilangan tersebut.  Dalam mempelajari FPB sangat erat kaitanya dengan faktorisasi prima.

Sekarang kita akan berlatih mencari FPB dari soal berikut ini. hal ini ditujukan untuk membuat kalian semakin paham tentang apa itu FPB.

Soal
Dimas memiliki 24 mangga dan 18 apel. Mangga dan apel tersebut akan dimasukkan ke dalam kantong plastik. Berapa kantong plastik yang dibutuhkan, jika setiap kantong berisi Mangga dan apel dengan jumlah yang sama?

Untuk menjawab soal tersebut, kamu harus mencari FPB dari 22 dan 18.

Langkah-langkah pengerjaan FPB.

  • Menentukan faktorisasi prima dari bilangan-bilangan itu
Faktorisasi prima dari 18
Faktorisasi prima dari 18
Faktorisasi prima dari 24
Faktorisasi Prima dari 24

Faktorisasi prima dari 24 yaitu 24 = 2 x 2 x 2 x 3 = 23 x 3
Faktorisasi prima dari 18 yaitu 18 = 2 x 3 x 3 = 2 x 32
  • Mengambil faktor yang sama dari bilangan-bilangan itu.
23 x 3
2 x 32
Faktor yang sama dari bilangan-bilangan itu, 2 = 23 dan 2  Serta 3 = 3 dan 32
  • Jika faktor yang sama pangkatnya berbeda, ambillah faktor yang pangkatnya terkecil.
23 dan 2, 3 dan 32
Dari angka faktor yang sama angka 2, maka 2 memiliki pangkat lebih kecil dibanding 23 dan dari angka faktor yang sama angka 3, maka 3 memiliki pangkat lebih kecil dari 32.
Jadi, FPB dari 24 dan 18 adalah 2 x 3 = 6

2. KPK
Setelah kalian mengetahui cara menghitung FPB. Maka kalian akan belajar menentukan KPK. KPK sering disebut dengan Kelipatan Persekutuan Terkecil. ekarang kita akan menentukan KPK dari 2 bailangan dari dua bilangan.

Soal
Dimas memiliki 24 mangga dan 42 apel. Mangga dan apel tersebut akan dimasukkan ke dalam kantong plastik. Berapa kantong plastik yang dibutuhkan, jika setiap kantong berisi Mangga dan apel dengan jumlah yang sama?

Langkah-langkah pengerjaan KPK.

  • Menentukan faktorisasi prima dari bilangan-bilangan itu
    Faktorisasi prima dari 24
    Faktorisasi prima dari 24
Faktorisasi prima dari 42
Faktorisasi prima dari 42
Faktorisasi prima dari 24 yaitu 24 = 2 x 2 x 2 x 3 = 23 x 3
Faktorisasi prima dari 42 yaitu 18 = 2 x 3 x 7
  • Ambil semua faktor yang sama atau tidak sama dari bilangan-bilangan
tersebut.
23 x 3
2 x 3 x 7
Faktor yang sama dan tidak sama dari bilangan-bilangan tersebut yaitu
  • Jika faktor yang sama memiliki pangkat berbeda, ambillah faktor yang pangkatnya terbesar
23 dan 2, 3 dan 32
Dari angka faktor yang sama angka 23, maka 23 memiliki pangkat lebih besar dibanding 2, Selain itu ada angka 3, dan ada angka 7.
Jadi, KPK dari 24 dan 42 adalah 23 x 3 x 5 = 8 x 3 x 7 = 168


Jangan lupa kunjungi Materi lainnya.
Demikian adalah penjelasan tentang Langkah-Langkah Mudah Mencari Rumus KPK dan FPB Paling Mudah Pelajaran Matematika Kelas 6. Mudah bukan? Silahkan komentar dan ajak teman-teman kalian ke Blog Materi Pelajaran ya. Terimakasih.

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