{"id":304869,"date":"2021-11-01T00:00:22","date_gmt":"2021-10-31T17:00:22","guid":{"rendered":"https:\/\/quipperhome.wpcomstaging.com\/?p=304869"},"modified":"2023-02-07T15:26:07","modified_gmt":"2023-02-07T08:26:07","slug":"pecahan-desimal","status":"publish","type":"post","link":"https:\/\/quipperhome.wpcomstaging.com\/mapel\/matematika\/pecahan-desimal\/","title":{"rendered":"Pecahan Desimal – Pengertian, Cara Mengubah dan Contoh Soal"},"content":{"rendered":"\n
\"\"<\/figure>\n\n\n\n

Tinggi Amir 167 cm. Jika tinggi Amir dinyatakan dalam satuan meter, berapakah hasilnya? Tentu jawabannya 1,67 m. Angka 1,67 tersebut merupakan bentuk pecahan desimal, <\/span>lho<\/span><\/i>. Apakah Quipperian sudah mempelajari tentang pecahan tersebut? Jika belum, yuk belajar bareng Quipper Blog.<\/span><\/p>\n\n\n\n

Pengertian Pecahan Desimal<\/b><\/h2>\n\n\n\n

Pecahan desimal adalah pecahan yang memuat tanda koma di penulisan antar angka penyusunnya. Contohnya adalah 1,2; 3,21; 0,05; 0,1; dan seterusnya. <\/span><\/p>\n\n\n\n

Bentuk ini diperoleh dari hasil pembagian antara pembilang dan penyebut. Secara matematis, rumus pecahan desimal dinyatakan sebagai berikut.<\/span><\/p>\n\n\n\n

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

Pada persamaan di atas, di belakang koma hanya ada <\/span>b<\/span><\/i>, sehingga bentuk pecahannya berpenyebut 10. Untuk lebih jelasnya, simak cara mengubah pecahan desimal berikut.<\/span><\/p>\n\n\n\n

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

Pecahan ini bisa diubah menjadi pecahan biasa, campuran, dan persen. Bagaimana caranya?<\/span><\/p>\n\n\n\n

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

Seperti Quipperian ketahui, pecahan biasa hanya memuat pembilang dan penyebut. Artinya, kamu harus mengubahnya sesuai ketentuan tersebut. <\/span><\/p>\n\n\n\n

Cara mengubah pecahan desimal ke pecahan biasa adalah dengan melihat banyaknya angka di belakang koma. Jika di belakang koma hanya ada 1 angka, maka bentuk pecahannya berpenyebut 10. <\/span><\/p>\n\n\n\n

Jika di belakang koma ada 2 angka, maka bentuk pecahannya berpenyebut 100 dan seterusnya. <\/span><\/p>\n\n\n\n

Lalu, pembilang diisi dengan bentuk bulat dari bilangan desimalnya. Perhatikan contoh berikut.<\/span><\/p>\n\n\n\n

Tentukan bentuk pecahan dari 0,75!<\/span><\/p>\n\n\n\n

Pertama, kamu tentukan jumlah angka di belakang komanya. Pada 0,75 terdapat dua angka di belakang koma. Artinya, bentuk pecahannya berpenyebut 100. Dengan demikian:<\/span><\/p>\n\n\n\n

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

Bentuk pecahan tersebut masih bisa disederhanakan dengan cara membagi pembilang dan penyebut dengan angka 25.<\/span><\/p>\n\n\n\n

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

2. Cara mengubah pecahan desimal ke pecahan campuran<\/b><\/h3>\n\n\n\n

Sebelum mengubah bentuk desimal ke campuran, kamu harus menjadikannya pecahan biasa seperti pembahasan sebelumnya.<\/span><\/p>\n\n\n\n

Jika sudah berbentuk pecahan biasa, lakukan pengubahan menjadi campuran. Perhatikan contoh berikut.<\/span><\/p>\n\n\n\n

Tentukan bentuk pecahan campuran dari 1,25!<\/span><\/p>\n\n\n\n

Pertama, tentukan banyaknya angka di belakang koma. Pada 1,25 terdapat 2 angka di belakang koma. Artinya, pecahannya berpenyebut 100.<\/span><\/p>\n\n\n\n

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

<\/span><\/p>\n\n\n\n

Lalu, sederhanakan bentuk pecahan di atas!<\/span><\/p>\n\n\n\n

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

3. Cara mengubah pecahan desimal ke persen<\/b><\/h3>\n\n\n\n
\"\"<\/figure>\n\n\n\n

Cara mengubah pecahan desimal ke persen adalah dengan mengalikan pecahan tersebut dengan 100%. <\/span><\/p>\n\n\n\n

Selain itu, kamu juga bisa memilih cara yang lebih panjang, yaitu dengan menjadikannya pecahan berpenyebut 100 dahulu. Perhatikan contoh berikut.<\/span><\/p>\n\n\n\n

Tentukan bentuk persen dari 0,35!<\/span><\/p>\n\n\n\n

Cara 1<\/b><\/p>\n\n\n\n

Kalikan 0,35 dengan 100%, sehingga diperoleh:<\/span><\/p>\n\n\n\n

 <\/span>0,35\u00d7100%=35%<\/span><\/p>\n\n\n\n

Cara 2<\/b><\/p>\n\n\n\n

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

Kedua cara di atas, memiliki hasil yang sama. Silahkan kamu pilih cara yang dianggap lebih mudah!<\/span><\/p>\n\n\n\n

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

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

1. Penjumlahan pecahan desimal<\/b><\/h3>\n\n\n\n

Penjumlahan bisa dilakukan dengan menjumlahkan seluruh angkanya seperti penjumlahan bilangan bulat. <\/span><\/p>\n\n\n\n

Hanya saja, kamu harus meletakkan tanda koma pada hasilnya. Tanda koma diletakkan lurus dengan tanda koma bilangan yang dijumlahkan. Perhatikan contoh berikut.<\/span><\/p>\n\n\n\n

Tentukan hasil penjumlahan dari 3,49 + 2,11!<\/span><\/p>\n\n\n\n

Lakukan penjumlahan biasa seperti berikut.<\/span><\/p>\n\n\n\n

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

 Jadi, hasil penjumlahan dari 3,49 + 2,11 = 5,60.<\/span><\/p>\n\n\n\n

2. Pengurangan pecahan desimal<\/b><\/h3>\n\n\n\n

Prinsip dasar pengurangan sama dengan penjumlahan. Quipperian bisa melakukan pengurangan seperti pada bilangan bulat. <\/span><\/p>\n\n\n\n

Namun, jangan lupa untuk meletakkan tanda komanya. Perhatikan contoh berikut.<\/span><\/p>\n\n\n\n

Tentukan hasil pengurangan dari 4,3 \u2013 1,25!<\/span><\/p>\n\n\n\n

Ingat 4,3 = 4,30!<\/span><\/p>\n\n\n\n

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

Jadi, hasil pengurangan dari 4,3 \u2013 1,25 = 3,05.<\/span><\/p>\n\n\n\n

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

Perkalian pecahan desimal juga sama dengan perkalian bilangan bulat. Namun, kamu harus tetap menambahkan koma sebanyak angka di belakang koma pada bilangan yang dikalikan. <\/span><\/p>\n\n\n\n

Misalnya kamu mengalikan 2,36 <\/span>\u00d7<\/span> 1,2. Nah 2,36 memiliki <\/span>2<\/b> angka di belakang koma dan 1,2 memiliki <\/span>1<\/b> angka di belakang koma. <\/span><\/p>\n\n\n\n

Hasil perkaliannya harus memiliki 3 (2+1) angka di belakang koma. Perhatikan contoh berikut.<\/span><\/p>\n\n\n\n

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

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

Sebenarnya, pembagian pecahan desimal sama seperti pembagian bilangan bulat. Namun, cara yang lebih mudah adalah mengubahnya menjadi pecahan terlebih dahulu. <\/span><\/p>\n\n\n\n

Lalu, lakukan operasi pembagian pecahan biasa. Perhatikan contoh berikut.<\/span><\/p>\n\n\n\n

Tentukan hasil 0,7 : 0,2!<\/span><\/p>\n\n\n\n

Pertama, ubah keduanya menjadi pecahan biasa.<\/span><\/p>\n\n\n\n

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

Jadi, hasil 0,7 : 0,2 adalah 3,5.<\/span><\/p>\n\n\n\n

Untuk meningkatkan pemahaman Quipperian tentang materi ini, yuk simak contoh soal dan jawabannya berikut ini.<\/span><\/p>\n\n\n\n

Contoh Soal 1<\/b><\/h2>\n\n\n\n

Ani memiliki pita sepanjang 1,2 m. Lalu, ia membeli lagi sepanjang 0,75 m. Pita tersebut akan ia gunakan untuk membuat 2 buah bunga yang ukurannya sama. Tentukan panjangnya pita yang dibutuhkan untuk membuat satu bunga!<\/span><\/p>\n\n\n\n

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

Ani memiliki pita 1,2 m. Lalu, ia membeli lagi 0,75 m.<\/span><\/p>\n\n\n\n

Artinya, Quipperian harus menjumlahkan panjang pita Ani secara keseluruhan.<\/span><\/p>\n\n\n\n

Panjang pita total <\/span>=1,2+0,75<\/span><\/p>\n\n\n\n

                      <\/span>=1,95 <\/span>m<\/span><\/p>\n\n\n\n

Pita tersebut akan digunakan untuk membuat dua bunga yang berukuran sama. Artinya, panjang pita total harus dibagi dua. Secara matematis, dirumuskan sebagai berikut.<\/span><\/p>\n\n\n\n

Panjang pita 1 bunga <\/span>=1,95:2<\/span><\/p>\n\n\n\n

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

<\/span><\/p>\n\n\n\n

Jadi, panjangnya pita yang dibutuhkan untuk membuat satu bunga adalah 0,975 m.<\/span><\/p>\n\n\n\n

Contoh Soal 2<\/b><\/h2>\n\n\n\n

Pak Halim memiliki sebidang tanah berbentuk persegi panjang. Panjang dan lebar tanah Pak Halim berturut-turut adalah 35,6 m dan 12,5 m. Tentukan luas sebidang tanah tersebut!<\/span><\/p>\n\n\n\n

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

Untuk mencari luas tanah Pak Halim, gunakan perkalian seperti berikut. <\/span><\/p>\n\n\n\n

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

Jadi, luas tanah Pak Halim adalah 445 m2<\/sup><\/span>.<\/span><\/p>\n\n\n\n

Contoh Soal 3<\/b><\/h2>\n\n\n\n

Dua tahun lalu, tinggi badan Nova 1,34 m. Kini, tinggi badannya menjadi 1,66 m. Jika dijadikan pecahan biasa, tentukan selisih tinggi badan Nova antara kini dan dua tahun lalu!<\/span><\/p>\n\n\n\n

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

Pertama, tentukan besar selisihnya terlebih dahulu.<\/span><\/p>\n\n\n\n

Selisih <\/span>=1,66-1,34<\/span><\/p>\n\n\n\n

             <\/span>=0,32<\/span> m<\/span><\/p>\n\n\n\n

Jika dijadikan pecahan biasa, selisihnya menjadi seperti berikut.<\/span><\/p>\n\n\n\n

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

Jadi, Jika dijadikan pecahan biasa, selisih tinggi badan Nova antara kini dan dua tahun lalu adalah <\/span>8<\/span>25<\/span> m.<\/span><\/p>\n\n\n\n

Itulah pembahasan Quipper Blog kali ini. Semoga bisa bermanfaat buat Quipperian. Jangan lupa untuk tetap semangat belajarnya. Kini, <\/span>Quipper Video<\/b><\/a> hadir dengan berbagai fitur baru yang bisa <\/span>bikin<\/span><\/i> kamu tambah semangat belajarnya. Yuk, <\/span>buruan<\/span><\/i> gabung! Salam Quipper!<\/span><\/p>\n\n\n\n

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

Tinggi Amir 167 cm. Jika tinggi Amir dinyatakan dalam satuan meter, berapakah hasilnya? Tentu jawabannya 1,67 m. Angka 1,67 tersebut merupakan bentuk pecahan desimal,…<\/p>\n","protected":false},"author":99400369,"featured_media":304887,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_post_was_ever_published":false},"categories":[679384865],"tags":[],"ppma_author":[679386827,679386836],"class_list":["post-304869","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-matematika"],"acf":[],"yoast_head":"\nPecahan Desimal - Pengertian, Cara Mengubah dan Contoh Soal - Quipper Blog<\/title>\n<meta name=\"description\" content=\"belajar Pecahan desimal matematika kelas 7 meliputi pengertian, cara mengubah pecahan dan apa saja operasi pecahannya serta contoh soal 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\/pecahan-desimal\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Pecahan Desimal - 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