{"id":302720,"date":"2021-11-01T13:21:24","date_gmt":"2021-11-01T06:21:24","guid":{"rendered":"https:\/\/quipperhome.wpcomstaging.com\/?p=302720"},"modified":"2022-10-14T14:17:29","modified_gmt":"2022-10-14T07:17:29","slug":"pecahan-biasa","status":"publish","type":"post","link":"https:\/\/quipperhome.wpcomstaging.com\/mapel\/matematika\/pecahan-biasa\/","title":{"rendered":"Pecahan Biasa: Operasi Pecahan, Cara Mengubah Pecahan dan Contoh Soal"},"content":{"rendered":"\n
\"\"<\/figure>\n\n\n\n

Pernahkah Quipperian membaca keterangan resep, misalnya garam = \u00bd sendok teh, baking soda \u00bc sendok teh?Nah, bilangan \u00bd dan \u00bc sendok teh tersebut dinamakan sebagai pecahan biasa. <\/p>\n\n\n\n

Kok bisa? Daripada penasaran, ikuti terus artikel ini sampai selesai, ya.<\/span><\/p>\n\n\n\n

Pengertian Pecahan Biasa<\/h2>\n\n\n\n

Pecahan biasa adalah suatu bilangan yang dinyatakan dalam bentuk <\/span>a\/<\/span>b<\/span> dengan syarat <\/span>b<\/span><\/i> \u2260<\/span> 0. Artinya, pada pecahan ini hanya ada pembilang dan penyebut. <\/span><\/p>\n\n\n\n

Adapun contohnya adalah  <\/span>7\/<\/span>9<\/span>,<\/span>9\/<\/span>6<\/span>,<\/span>1\/<\/span>12<\/span>,<\/span> dan seterusnya. <\/span><\/p>\n\n\n\n

Secara matematis, rumusnya  bisa dinyatakan sebagai berikut.<\/span><\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Cara Mengubah Pecahan Biasa<\/b><\/h2>\n\n\n\n

Quipperian harus tahu bahwa bentuk ini bisa diubah menjadi bentuk bilangan yang lain, misalnya desimal dan persen. Lalu, bagaimana cara mengubah ke desimal dan persen?<\/span><\/p>\n\n\n\n

1. Cara mengubah ke desimal<\/b><\/h3>\n\n\n\n

Desimal adalah bilangan yang berbasis angka 1, 2, 3, \u2026, 10. Contoh desimal adalah 0,5; 0,6; 1,25; 4; 5; 7; \u2026 dan seterusnya.<\/span><\/p>\n\n\n\n

Cara mengubah pecahan biasa ke desimal, kamu harus melakukan pembagian sebagaimana di bangku sekolah dasar dahulu.<\/span><\/p>\n\n\n\n

Contohnya, bentuk desimal dari <\/span>2\/<\/span>5<\/span> adalah 0,4.<\/span><\/p>\n\n\n\n

Untuk memudahkan, ubah <\/span>2\/<\/span>5<\/span> menjadi pecahan berpenyebut 10. Caranya adalah dengan mengalikan pembilang dan penyebutnya dengan angka 2.<\/span><\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Jadi, bentuk desimal dari <\/span>2\/<\/span>5<\/span>=0,4.<\/span><\/p>\n\n\n\n

Quipperian juga bisa melakukan metode pembagian bersusun seperti di SD. Hasil akhir yang diperoleh tetap sama.<\/span><\/p>\n\n\n\n

2. Cara mengubah ke persen<\/b><\/h3>\n\n\n\n

Persen adalah bilangan yang penyebutnya 100, contohnya 5% = <\/span>5\/<\/span>100<\/span>.<\/span><\/p>\n\n\n\n

Cara mengubah pecahan biasa ke persen adalah dengan menjadikan pecahan tersebut berpenyebut 100.<\/span><\/p>\n\n\n\n

Ubahlah <\/span>3\/<\/span>4<\/span> dalam bentuk persen!<\/span><\/p>\n\n\n\n

Agar penyebutnya bisa berubah menjadi 100, apa yang harus dilakukan? <\/span><\/p>\n\n\n\n

Yaitu mengalikan angka 4 dengan 25. Jika penyebut dikali 25, maka pembilang juga harus dikali 25. <\/span><\/p>\n\n\n\n

Dengan demikian, persamaannya menjadi seperti berikut.<\/span><\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

3. Cara mengubah ke campuran<\/b><\/h3>\n\n\n\n

Pecahan campuran adalah pecahan yang terdiri dari bilangan bulat dan pecahan itu sendiri. <\/span><\/p>\n\n\n\n

Lantas, bagaimana cara mengubah pecahan biasa ke pecahan campuran? Simak contoh berikut.<\/span><\/p>\n\n\n\n

Ubahlah <\/span>7\/<\/span>2<\/span> ke dalam pecahan campuran!<\/span><\/p>\n\n\n\n

Untuk mengubahnya, kamu harus membagi 7 dengan 2. Berapa hasil yang mendekati? <\/span><\/p>\n\n\n\n

Jawabannya adalah 3 karena 3 <\/span>\u00d7<\/span> 2 = 6 (mendekati 7 dengan sisa 1). <\/span><\/p>\n\n\n\n

Sisa\/selisih tersebut akan menjadi pembilang yang baru dan 3 hasil pembagian akan menjadi bilangan utuh yang letaknya di depan pecahan.<\/span><\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Operasi Pecahan Biasa<\/b><\/h2>\n\n\n\n

Operasi ini meliputi penjumlahan, pengurangan, perkalian, dan pembagian. Berikut ini ulasan selengkapnya.<\/span><\/p>\n\n\n\n

1. Penjumlahan<\/h3>\n\n\n\n

Membahas masalah pecahan, hal yang harus kamu kuasai adalah bagaimana cara menyamakan penyebut antara pecahan satu dan lainnya. <\/span><\/p>\n\n\n\n

Pada penjumlahan pecahan biasa, kamu bisa langsung menjumlahkan pembilangnya jika pecahan yang dimaksud memiliki penyebut yang sama. <\/span><\/p>\n\n\n\n

Namun, jika penyebutnya berbeda, kamu harus menyamakan penyebutnya terlebih dahulu. Perhatikan contoh berikut.<\/span><\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

2. Pengurangan<\/h3>\n\n\n\n

Prinsip dasar yang dipakai pada pengurangan sama dengan penjumlahan. Jika penyebutnya tidak sama, Quipperian harus menyamakannya terlebih dahulu.<\/span><\/p>\n\n\n\n

Perhatikan contoh berikut.<\/span><\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

3. Perkalian<\/b><\/h3>\n\n\n\n

Perkalian adalah operasi bilangan paling mudah. <\/span><\/p>\n\n\n\n

Caranya adalah dengan mengalikan pembilang dengan pembilang serta penyebut dengan penyebut. Perhatikan contoh berikut.<\/span><\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

4. Pembagian<\/b><\/h3>\n\n\n\n

Pada pembagian, berlaku persamaan berikut.<\/span><\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Untuk memudahkan proses perhitungan, bentuk pembagian harus kamu ubah menjadi perkalian seperti persamaan di atas. <\/span><\/p>\n\n\n\n

Perubahan tersebut memiliki syarat, yaitu pecahan pembagi harus dibalik (pembilang jadi penyebut dan penyebut jadi pembilang). Perhatikan contoh berikut.<\/span><\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Agar Quipperian semakin paham materi ini, simak contoh soal berikut ini.<\/span><\/p>\n\n\n\n

Contoh Soal 1<\/b><\/h3>\n\n\n\n

Jeje membeli jeruk <\/span>1\/<\/span>2<\/span> kg. Lalu ia membeli lagi <\/span>3\/<\/span>5<\/span> kg. Tiba-tiba, sepupu Jeje datang ke rumah, sehingga ia memberikan jeruknya <\/span>1\/<\/span>4<\/span> kg. Tentukan sisa jeruk Jeje sekarang!<\/span><\/p>\n\n\n\n

Pembahasan:<\/b><\/p>\n\n\n\n

\u201cJeje membeli jeruk <\/span>1\/<\/span>2<\/span> kg. Lalu ia membeli lagi <\/span>3\/<\/span>5<\/span> kg.\u201d<\/span><\/p>\n\n\n\n

Pada pernyataan di atas berlaku operasi penjumlahan.<\/span><\/p>\n\n\n\n

\u201cTiba-tiba, sepupu Jeje datang ke rumah, sehingga ia memberikan jeruknya <\/span>1\/<\/span>4<\/span> kg.\u201d<\/span><\/p>\n\n\n\n

Pada pernyataan di atas berlaku operasi pengurangan.<\/span><\/p>\n\n\n\n

Jika ditulis secara matematis, sisa jeruk Jeje adalah sebagai berikut.<\/span><\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Contoh Soal 2<\/h3>\n\n\n\n

Tentukan bentuk desimal dan persen dari pecahan berikut.<\/span><\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Pembahasan:<\/b><\/p>\n\n\n\n

Untuk menyelesaikan soal tersebut, kamu harus mengubah bilangan pada soal menjadi pecahan berpenyebut 10, 100, atau kelipatannya.<\/span><\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n
\"\"<\/figure>\n\n\n\n
\"\"<\/figure>\n\n\n\n
\"\"<\/figure>\n\n\n\n

Contoh Soal 3<\/h3>\n\n\n\n

SD Mekar Jaya memiliki siswa sebanyak 180. Setengah di antaranya merupakan lulusan TK Lestari. <\/span><\/p>\n\n\n\n

Jika 30% lulusan TK Lestari yang ada di SD Mekar Jaya merupakan laki-laki, berapakah jumlah lulusan TK Lestari di SD Mekar berjenis kelamin perempuan?<\/span><\/p>\n\n\n\n

Pembahasan:<\/b><\/p>\n\n\n\n

Pertama, kamu harus menentukan banyaknya lulusan TK Lestari yang ada di SD Mekar Jaya.<\/span><\/p>\n\n\n\n

Jumlah siswa SD Mekar Jaya = 180<\/span><\/p>\n\n\n\n

Jumlah lulusan TK Lestari yang ada di SD Mekar Jaya <\/span><\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Dari perhitungan di atas, diperoleh banyaknya lulusan TK Lestari yang ada di SD Mekar Jaya adalah 90 siswa.<\/span><\/p>\n\n\n\n

Nah, 30% di antaranya laki-laki. Artinya, ada 70% siswa lulusan TK Lestari di SD Mekar Jaya merupakan perempuan. <\/span><\/p>\n\n\n\n

Selanjutnya, tentukan jumlah 70% siswa yang dimaksud!<\/span><\/p>\n\n\n\n

Lulusan TK Lestari di SD Mekar Jaya berjenis kelamin perempuan <\/span><\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Jadi, banyaknya lulusan TK Lestari di SD Mekar Jaya yang berjenis kelamin perempuan adalah 63 siswa.<\/span><\/p>\n\n\n\n

Itulah pembahasan Quipper Blog kali ini. Semoga bisa menjadi referensi belajar yang bermanfaat. <\/span><\/p>\n\n\n\n

Jika kamu ingin mendapatkan penjelasan lengkapnya, silakan gabung bersama <\/span>Quipper Video<\/b><\/a>, ya. Belajar jadi seru banget dan tidak membosankan! Segera daftar!<\/span><\/p>\n\n\n\n

Penulis: Eka Viandari<\/b><\/p>\n","protected":false},"excerpt":{"rendered":"

Pernahkah Quipperian membaca keterangan resep, misalnya garam = \u00bd sendok teh, baking soda \u00bc sendok teh?Nah, bilangan \u00bd dan \u00bc sendok teh tersebut dinamakan…<\/p>\n","protected":false},"author":99400369,"featured_media":302768,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_crdt_document":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[679384888,679384865],"tags":[],"ppma_author":[679386827],"class_list":["post-302720","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mapel","category-matematika"],"acf":[],"yoast_head":"\nPecahan Biasa: Operasi Pecahan, Cara Mengubah Pecahan dan Contoh Soal - Quipper Blog<\/title>\n<meta name=\"description\" content=\"Materi pecahan biasa, simak apa saja operasi pecahan dan cara mengubah pecahan biasa lengkap dengan contoh soal dan pembahasannya\" \/>\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.quipper.com\/id\/blog\/mapel\/matematika\/pecahan-biasa\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Pecahan Biasa: Operasi Pecahan, Cara Mengubah Pecahan dan Contoh Soal - 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