{"id":302664,"date":"2021-11-01T12:34:20","date_gmt":"2021-11-01T05:34:20","guid":{"rendered":"https:\/\/quipperhome.wpcomstaging.com\/?p=302664"},"modified":"2022-10-14T14:16:58","modified_gmt":"2022-10-14T07:16:58","slug":"bilangan-pecahan","status":"publish","type":"post","link":"https:\/\/quipperhome.wpcomstaging.com\/mapel\/matematika\/bilangan-pecahan\/","title":{"rendered":"Bilangan Pecahan: Pengertian, Jenis, Operasi Bilangan Pecahan dan Contoh Soal"},"content":{"rendered":"\n<figure class=\"wp-block-image\"><img fetchpriority=\"high\" decoding=\"async\" width=\"800\" height=\"533\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2021\/11\/pecahan-featured.webp\" alt=\"\" class=\"wp-image-302716\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2021\/11\/pecahan-featured.webp 800w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2021\/11\/pecahan-featured-768x512.webp 768w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2021\/11\/pecahan-featured-585x390.webp?crop=1 585w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2021\/11\/pecahan-featured-263x175.webp?crop=1 263w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Quipperian, kamu sedang mendalami materi Pecahan? Kamu berada di artikel yang tepat! Quipper Blog akan membahas tuntas materinya di sini. Yuk, simak!<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Ibu memiliki satu kotak brownies. Brownies tersebut dibagi menjadi delapan bagian sama besar. Jika kamu diberi 1 bagian, berapa bagian sisa brownies ibu?<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jika ada soal demikian, jawaban Quipperian apa? Apakah 7 bagian? Jangan sampai Quipperian menjawab 7 bagian, ya. Jawaban tersebut jelas tidak tepat.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Lantas berapa jawaban yang tepat? Untuk tahu jawabannya, simak artikel ini sampai habis ya.<\/span><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><b>Pengertian Pecahan<\/b><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Pecahan adalah bilangan rasional yang ditulis dalam bentuk <\/span><span style=\"font-weight: 400;\">a\/<\/span><span style=\"font-weight: 400;\">b<\/span><span style=\"font-weight: 400;\">.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Dengan ketentuan, <\/span><i><span style=\"font-weight: 400;\">a<\/span><\/i><span style=\"font-weight: 400;\"> merupakan pembilang dan <\/span><i><span style=\"font-weight: 400;\">b<\/span><\/i><span style=\"font-weight: 400;\"> merupakan penyebut.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Sebagai penyebut, syarat yang harus dipenuhi <\/span><i><span style=\"font-weight: 400;\">b<\/span><\/i><span style=\"font-weight: 400;\"> adalah <\/span><i><span style=\"font-weight: 400;\">b<\/span><\/i> <span style=\"font-weight: 400;\">\u2260<\/span><span style=\"font-weight: 400;\"> 0. Artinya, nilai <\/span><i><span style=\"font-weight: 400;\">b<\/span><\/i><span style=\"font-weight: 400;\"> tidak boleh sama dengan nol.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Agar Quipperian bisa dengan mudah memahami konsep materi yang satu ini, perhatikan gambar berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" width=\"235\" height=\"222\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-a.webp\" alt=\"\" class=\"wp-image-302702\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Mulanya kue tart utuh, lalu dipotong menjadi empat bagian sama besar.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Nah, setiap bagian potongan itu bisa dinyatakan sebagai 1 dari total empat potongan atau satu per empat.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Secara matematis, bisa ditulis sebagai&nbsp; <\/span><span style=\"font-weight: 400;\">1\/<\/span><span style=\"font-weight: 400;\">4<\/span><span style=\"font-weight: 400;\"> bagian.<\/span><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><b>Macam-Macam Pecahan<\/b><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Adapun macam-macam pecahan yang harus Quipperian ketahui adalah sebagai berikut.<\/span><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><b>1. Pecahan sejati atau pecahan murni<\/b><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Pecahan sejati atau murni merupakan bentuk yang paling sederhana. Artinya, bilangan ini tidak bisa disederhanakan lagi menjadi bilangan yang lebih kecil.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" width=\"425\" height=\"66\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-b.webp\" alt=\"\" class=\"wp-image-302701\"\/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><b>2. Pecahan campuran<\/b><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Disebut campuran karena terdiri dari bilangan pecah dan utuh.&nbsp;<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"465\" height=\"65\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-c.webp\" alt=\"\" class=\"wp-image-302700\"\/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><b>3. Pecahan desimal<\/b><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Disebut desimal karena penyebutnya berupa bilangan 10, 100, 1.000, dan seterusnya.&nbsp;<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"467\" height=\"56\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-d.webp\" alt=\"\" class=\"wp-image-302699\"\/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><b>4. Pecahan senilai<\/b><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Disebut senilai karena memiliki nilai akhir atau hasil pembagian yang sama.&nbsp;<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"566\" height=\"59\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-e.webp\" alt=\"\" class=\"wp-image-302698\"\/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><b>5. Pecahan senama<\/b><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Disebut senama karena memiliki penyebut yang sama.&nbsp;<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"432\" height=\"70\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-f.webp\" alt=\"\" class=\"wp-image-302697\"\/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><b>Operasi Bilangan Pecahan<\/b><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Setelah membahas pengertian dan macamnya, kali ini Quipper Blog mau mengenalkan operasi bilangan pecahan.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Bentuk operasinya sama seperti operasi bilangan lain, yaitu memuat penjumlahan, pengurangan, perkalian, dan pembagian.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Untuk lebih jelasnya, <\/span><i><span style=\"font-weight: 400;\">check this out<\/span><\/i><span style=\"font-weight: 400;\">!<\/span><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><b>1. Penjumlahan pecahan<\/b><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Secara umum, penjumlahan pecahan dibagi menjadi dua, yaitu penjumlahan dengan penyebut sama dan penjumlahan dengan penyebut berbeda.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>a. Penjumlahan pecahan berpenyebut sama<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Untuk bilangan yang penyebutnya sama caranya cukup mudah, yaitu dengan menjumlahkan pembilangnya saja. Berikut ini contohnya.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"530\" height=\"56\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-g.webp\" alt=\"\" class=\"wp-image-302696\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>b. Penjumlahan pecahan berpenyebut berbeda<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Hasil penjumlahan antara bilangan berpenyebut berbeda tentu lebih rumit daripada berpenyebut sama, yaitu dengan menyamakan penyebutnya terlebih dahulu. Berikut ini contohnya.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"433\" height=\"61\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-h.webp\" alt=\"\" class=\"wp-image-302695\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Pertama, tentukan dahulu bilangan yang bisa mewakili kedua penyebut (3 dan 5). Apakah 6 bisa mewakili keduanya?&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Tentu tidak karena hasil pembagian antara 6 dan 5 menghasilkan bilangan tidak bulat.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Apakah 15 bisa mewakili keduanya? Iya, karena hasil bagian antara 15 dan 5 serta 15 dan 3 akan menghasilkan bilangan bulat.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Dengan kata lain, Quipperian bisa mencari nilai KPK antara 3 dan 5 agar diperoleh nilai penyebut yang sama.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jika sudah mendapatkan KPKnya, silakan lakukan langkah berikut.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Bagi KPK dengan masing-masing penyebut, lalu kalikan dengan pembilangnya masing-masing.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"235\" height=\"63\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-i.webp\" alt=\"\" class=\"wp-image-302694\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Pada penyelesaian di atas dari mana diperoleh nilai 10 dan 12?&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">15 dibagi 3 lalu hasilnya dikali 2, sehingga diperoleh nilai 10. Lakukan langkah yang sama untuk pecahan lainnya.<\/span><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><b>2. Pengurangan pecahan<\/b><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Pada prinsipnya, pengurangan pecahan sama dengan penjumlahan.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Secara umum, pengurangan dibagi menjadi dua yaitu pengurangan bilangan berpenyebut sama dan berpenyebut berbeda.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>a. Pengurangan pecahan berpenyebut sama<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Pengurangan ini cukup mudah karena kamu hanya perlu mengurangkan pembilangnya saja. Berikut ini contohnya.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"140\" height=\"61\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-j.webp\" alt=\"\" class=\"wp-image-302693\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>b. Pengurangan pecahan berpenyebut berbeda<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Untuk mengurangkan bilangan yang penyebutnya berbeda, langkahnya sama persis dengan penjumlahan, yaitu dengan mencari KPK antara dua atau lebih penyebut. Berikut ini contohnya.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"219\" height=\"64\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-k.webp\" alt=\"\" class=\"wp-image-302692\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\"><\/span><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><b>3. Perkalian pecahan<\/b><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Perkalian pecahan termasuk operasi bilangan paling mudah jika dibandingkan dua operasi sebelumnya, yaitu cukup mengalikan pembilang dengan pembilang serta penyebut dengan penyebut. Berikut ini contohnya.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"201\" height=\"61\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-l.webp\" alt=\"\" class=\"wp-image-302691\"\/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><b>4. Pembagian pecahan<\/b><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Langkah pembagian pecahan tidak sama dengan perkalian. Jika pada perkalian kamu bisa langsung mengalikan pembilang dengan pembilang serta penyebut dengan penyebut.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Pada pembagian, pertama kamu harus mengubahnya menjadi perkalian terlebih dahulu dengan syarat pembilang dibalik menjadi penyebut dan sebaliknya. Berikut ini contohnya.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"286\" height=\"62\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-m.webp\" alt=\"\" class=\"wp-image-302690\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">&nbsp;<\/span><span style=\"font-weight: 400;\"><\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Sampai sini, apakah kamu sudah bisa menjawab pertanyaan di awal materi ini?<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Ibu memiliki satu kotak brownies. Brownies tersebut dibagi menjadi delapan bagian sama besar. Jika kamu diberi 1 bagian, berapa bagian sisa brownies ibu?<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Menurut Quipperian, jawabannya berapa?<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"538\" height=\"65\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-n.webp\" alt=\"\" class=\"wp-image-302689\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\"><\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Agar kamu semakin paham dengan materi kali ini, yuk simak contoh soal berikut.<\/span><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><b>Contoh Soal 1<\/b><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Deni memiliki satu kardus mie yang berisi 40 buah. Seperempat dari mie dalam kardus tersebut diberikan pada neneknya. Berapakah sisa mie Deni di dalam kardus?<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b>Pembahasan:<\/b><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Pertama, kamu harus menentukan banyaknya mie yang diberikan pada nenek.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Seperempat jika dinyatakan secara matematis menjadi&nbsp; <\/span><span style=\"font-weight: 400;\">1\/<\/span><span style=\"font-weight: 400;\">4<\/span><span style=\"font-weight: 400;\">.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Banyaknya mie yang diberikan pada nenek adalah <\/span><span style=\"font-weight: 400;\">1\/<\/span><span style=\"font-weight: 400;\">4<\/span><span style=\"font-weight: 400;\">\u00d740=10<\/span><span style=\"font-weight: 400;\"> buah.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Dengan demikian, sisa mie Deni di dalam kardus adalah 40 \u2013 10 = 30 buah.<\/span><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><b>Contoh Soal 2<\/b><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Tentukan hasil operasi bilangan berikut ini.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"214\" height=\"213\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-o.webp\" alt=\"\" class=\"wp-image-302688\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-o.webp 214w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-o-200x200.webp?crop=1 200w\" sizes=\"(max-width: 214px) 100vw, 214px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><b>Pembahasan:<\/b><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"181\" height=\"74\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-p.webp\" alt=\"\" class=\"wp-image-302687\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Pertama, kamu harus mencari KPK antara 3, 6, dan 12.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">KPK ketiga bilangan tersebut adalah 12.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Persamaannya menjadi seperti berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"302\" height=\"97\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-q.webp\" alt=\"\" class=\"wp-image-302686\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-q.webp 302w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-q-300x97.webp 300w\" sizes=\"(max-width: 302px) 100vw, 302px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"190\" height=\"57\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-r.webp\" alt=\"\" class=\"wp-image-302685\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Pertama, kamu harus mencari KPK antara 8, 6, dan 24.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">KPK ketiga bilangan tersebut adalah 24, sehingga persamaannya menjadi seperti berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"303\" height=\"106\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-s.webp\" alt=\"\" class=\"wp-image-302684\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-s.webp 303w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-s-300x106.webp 300w\" sizes=\"(max-width: 303px) 100vw, 303px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"136\" height=\"53\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-t.webp\" alt=\"\" class=\"wp-image-302683\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Lakukan perkalian seperti contoh yang telah disebutkan.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"603\" height=\"193\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-u.webp\" alt=\"\" class=\"wp-image-302682\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-u.webp 603w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-u-600x193.webp 600w\" sizes=\"(max-width: 603px) 100vw, 603px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"122\" height=\"81\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-v.webp\" alt=\"\" class=\"wp-image-302681\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Pertama, ubahlah pembagian tersebut menjadi perkalian dengan syarat pembilang dan penyebutnya dibalik.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"294\" height=\"110\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-w.webp\" alt=\"\" class=\"wp-image-302680\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\"><\/span><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><b>Contoh Soal 3<\/b><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Urutkan bilangan berikut mulai dari yang terbesar sampai terkecil.&nbsp;&nbsp;<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"204\" height=\"61\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-x.webp\" alt=\"\" class=\"wp-image-302679\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-x.webp 204w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-x-200x61.webp 200w\" sizes=\"(max-width: 204px) 100vw, 204px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><b>Pembahasan:<\/b><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Cara mengurutkan pecahan di atas adalah dengan menyamakan dahulu penyebutnya.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jika penyebut sudah sama, maka Quipperian bisa langsung melihat pembilang mana yang angkanya paling besar sampai paling kecil.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Tentukan KPK antara 6, 12, 3, 8, dan 24.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">KPK antara kelima bilangan tersebut adalah 24. Ayo, selesaikan bersama!<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"232\" height=\"189\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-y.webp\" alt=\"\" class=\"wp-image-302678\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Urutan:<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"223\" height=\"58\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-z.webp\" alt=\"\" class=\"wp-image-302677\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Dengan demikian, urutan mulai bilangan terbesar sampai terkecil adalah sebagai berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"205\" height=\"63\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-a1.webp\" alt=\"\" class=\"wp-image-302676\"\/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><b>Contoh Soal 4<\/b><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Tentukan perbandingan bilangan-bilangan berikut dengan menambahkan tanda &lt; (kurang dari), &gt; (lebih dari), atau = (sama dengan).<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"163\" height=\"156\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-b1.webp\" alt=\"\" class=\"wp-image-302675\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><b>Pembahasan:<\/b><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Cara membandingkan pecahan adalah dengan menyamakan penyebutnya. Sama seperti cara-cara sebelumnya.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"141\" height=\"67\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-c1.webp\" alt=\"\" class=\"wp-image-302674\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">KPK antara 7 dan 21 adalah 21, sehingga menjadi seperti berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"132\" height=\"66\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-d1.webp\" alt=\"\" class=\"wp-image-302673\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Kira-kira, tanda apa yang tepat untuk membandingkan keduanya? Ya, tanda &gt; (lebih dari).<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"179\" height=\"106\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-e1.webp\" alt=\"\" class=\"wp-image-302672\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"135\" height=\"48\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-f1.webp\" alt=\"\" class=\"wp-image-302671\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">KPK antara 2 dan 72 adalah 72, sehingga menjadi seperti berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"115\" height=\"55\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-g1.webp\" alt=\"\" class=\"wp-image-302670\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Kira-kira, tanda apa yang tepat untuk membandingkan keduanya?<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"152\" height=\"111\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-h1.webp\" alt=\"\" class=\"wp-image-302669\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-h1.webp 152w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-h1-150x111.webp 150w\" sizes=\"(max-width: 152px) 100vw, 152px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\"><\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"131\" height=\"61\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-i1.webp\" alt=\"\" class=\"wp-image-302668\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">KPK antara 10dan 6 adalah 30, sehingga menjadi seperti berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"128\" height=\"53\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-j1.webp\" alt=\"\" class=\"wp-image-302667\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Tanda yang tepat untuk membandingkan keduanya adalah &lt;.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"163\" height=\"103\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Pecahan-k1.webp\" alt=\"\" class=\"wp-image-302666\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Apakah Quipperian sudah paham dengan materi kali ini?<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Sampai sini dulu pembahasan Quipper Blog, ya. Semoga bisa bermanfaat buat Quipperian.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jangan lupa tetap semangat belajar, terlebih pembelajaran tatap muka sudah di depan mata.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Agar belajarmu tambah semangat, yuk gabung bersama <\/span><a href=\"https:\/\/subscribe.quipper.com\/signup\"><b>Quipper Video<\/b><\/a><span style=\"font-weight: 400;\">. Mumpung ada promo, <\/span><i><span style=\"font-weight: 400;\">grab it fast<\/span><\/i><span style=\"font-weight: 400;\">! Salam Quipper!<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b>Penulis: Eka Viandari<\/b><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Quipperian, kamu sedang mendalami materi Pecahan? Kamu berada di artikel yang tepat! Quipper Blog akan membahas tuntas materinya di sini. Yuk, simak! Ibu memiliki&hellip;<\/p>\n","protected":false},"author":99400369,"featured_media":302716,"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_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[679384865],"tags":[],"ppma_author":[679386827],"class_list":["post-302664","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-matematika"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.6 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Bilangan Pecahan: Pengertian, Jenis, Operasi Bilangan Pecahan dan Contoh Soal - Quipper Blog<\/title>\n<meta name=\"description\" content=\"Bilangan pecahan mata pelajaran matematika kelas 7, simak apa itu pecahan dan apa saja sistem operasi bilangan pecahan serta contoh soal dan pembahasan\" \/>\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\/bilangan-pecahan\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Bilangan Pecahan: Pengertian, Jenis, Operasi Bilangan Pecahan dan Contoh Soal - 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