{"id":83443,"date":"2025-03-09T19:51:24","date_gmt":"2025-03-09T19:51:24","guid":{"rendered":"https:\/\/www.omahbse.com\/blog\/?p=83443"},"modified":"2025-03-09T19:51:24","modified_gmt":"2025-03-09T19:51:24","slug":"apa-saja-sifat-sifat-operasi-perkalian-pecahan","status":"publish","type":"post","link":"https:\/\/www.omahbse.com\/blog\/apa-saja-sifat-sifat-operasi-perkalian-pecahan\/","title":{"rendered":"Apa saja sifat-sifat operasi perkalian pecahan?"},"content":{"rendered":"

Operasi perkalian pecahan memiliki beberapa sifat yang perlu diketahui. Sifat-sifat tersebut meliputi komutatif, asosiatif, dan distributif. Dalam perkalian pecahan, urutan faktor tidak mempengaruhi hasilnya (sifat komutatif). Selain itu, perkalian pecahan juga memenuhi sifat asosiatif, artinya hasil perkalian pecahan tetap sama meskipun kelompok faktor berubah urutan. Terakhir, perkalian pecahan juga dapat didistribusikan terhadap penjumlahan atau pengurangan (sifat distributif). Dengan memahami sifat-sifat operasi perkalian pecahan ini, kita dapat lebih mudah dalam menyelesaikan perhitungan yang melibatkan pecahan.<\/p>\n

Penjelasan dan Jawaban<\/h2>\n

Operasi perkalian pecahan adalah operasi matematika untuk mengalikan dua buah pecahan. Pada operasi ini, terdapat beberapa sifat yang dapat diperhatikan, antara lain:<\/p>\n

    \n
  1. Sifat Komutatif: Perkalian pecahan merupakan operasi yang komutatif, artinya urutan perkalian tidak mempengaruhi hasil akhir. Misalnya, a\/b \u00d7 c\/d = c\/d \u00d7 a\/b.<\/li>\n
  2. Sifat Asosiatif: Perkalian pecahan juga memiliki sifat asosiatif, yang berarti jika terdapat tiga atau lebih pecahan yang akan dikalikan, urutan perkalian dapat diubah tanpa mengubah hasil akhir. Misalnya, (a\/b \u00d7 c\/d) \u00d7 e\/f = a\/b \u00d7 (c\/d \u00d7 e\/f).<\/li>\n
  3. Sifat Distributif: Perkalian pecahan memiliki sifat distributif terhadap penjumlahan atau pengurangan. Misalnya, a\/b \u00d7 (c\/d + e\/f) = ac\/bd + ae\/bf.<\/li>\n
  4. Sifat Pembatalan: Jika diperoleh dua pecahan yang perkaliannya sama, maka pecahan tersebut dapat dibatalkan. Misalnya, jika a\/b \u00d7 c\/d = 1, maka a\/b dapat dibatalkan dengan c\/d.<\/li>\n
  5. Sifat Identitas: Jika suatu pecahan dikalikan dengan 1, maka hasilnya tetap pecahan tersebut. Misalnya, a\/b \u00d7 1 = a\/b.<\/li>\n<\/ol>\n

    Kesimpulan<\/h2>\n

    Dalam operasi perkalian pecahan, terdapat beberapa sifat yang dapat diperhatikan. Sifat-sifat tersebut adalah:<\/p>\n

      \n
    • Sifat Komutatif<\/li>\n
    • Sifat Asosiatif<\/li>\n
    • Sifat Distributif<\/li>\n
    • Sifat Pembatalan<\/li>\n
    • Sifat Identitas<\/li>\n<\/ul>\n

      Adapun kesimpulan yang dapat diambil adalah operasi perkalian pecahan memiliki sifat-sifat tertentu yang memudahkan dalam melakukan perhitungan matematika. Dengan memahami dan menerapkan sifat-sifat tersebut, kita dapat menyelesaikan soal-soal matematika yang melibatkan perkalian pecahan dengan lebih efektif dan akurat.<\/p>\n","protected":false},"excerpt":{"rendered":"

      Operasi perkalian pecahan memiliki beberapa sifat yang perlu diketahui. Sifat-sifat tersebut meliputi komutatif, asosiatif, dan distributif. Dalam perkalian pecahan, urutan faktor tidak mempengaruhi hasilnya (sifat komutatif). Selain itu, perkalian pecahan juga memenuhi sifat asosiatif, artinya hasil perkalian pecahan tetap sama meskipun kelompok faktor berubah urutan. Terakhir, perkalian pecahan juga dapat didistribusikan terhadap penjumlahan atau pengurangan […]<\/p>\n","protected":false},"author":1,"featured_media":83442,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[302,1992,1976,1988],"tags":[],"class_list":{"0":"post-83443","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-matematika","8":"category-matematika-smp","9":"category-sekolah","10":"category-smp"},"yoast_head":"\nApa saja sifat-sifat operasi perkalian pecahan? - OmahBSE<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.omahbse.com\/blog\/apa-saja-sifat-sifat-operasi-perkalian-pecahan\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Apa saja sifat-sifat operasi perkalian pecahan? - OmahBSE\" \/>\n<meta property=\"og:description\" content=\"Operasi perkalian pecahan memiliki beberapa sifat yang perlu diketahui. Sifat-sifat tersebut meliputi komutatif, asosiatif, dan distributif. Dalam perkalian pecahan, urutan faktor tidak mempengaruhi hasilnya (sifat komutatif). Selain itu, perkalian pecahan juga memenuhi sifat asosiatif, artinya hasil perkalian pecahan tetap sama meskipun kelompok faktor berubah urutan. 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