{"id":1586,"date":"2023-10-02T17:48:53","date_gmt":"2023-10-02T17:48:53","guid":{"rendered":"https:\/\/www.matematikazavsicki.com\/tr\/?p=1586"},"modified":"2023-10-02T17:48:54","modified_gmt":"2023-10-02T17:48:54","slug":"kesirleri-sadelestirme","status":"publish","type":"post","link":"https:\/\/www.matematikazavsicki.com\/tr\/kesirleri-sadelestirme\/","title":{"rendered":"Kesirleri Sadele\u015ftirme"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Kesirleri en basit haline getirmek i\u00e7in hangi y\u00f6ntem kullan\u0131lmal\u0131d\u0131r? A\u015fa\u011f\u0131da kesirleri basitle\u015ftirmeye y\u00f6nelik bir kural\u0131n\u0131z ve basitle\u015ftirmeye (k\u0131saltmaya) y\u00f6nelik iki farkl\u0131 yakla\u015f\u0131m\u0131n\u0131z var.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Kesirleri Sadele\u015ftirme Kural\u0131<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Belirli bir kesri do\u011fru bi\u00e7imde (indirgenemez kesir) yazmak i\u00e7in onu en basit haline d\u00f6n\u00fc\u015ft\u00fcrmemiz gerekir. Bir kesrin en basit hali olabilmesi i\u00e7in pay ve paydas\u0131n\u0131n 1&#8217;den ba\u015fka ortak b\u00f6leni olmayan iki say\u0131 olmas\u0131 gerekir!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Kesirin en basit bi\u00e7imine gerekli d\u00f6n\u00fc\u015f\u00fcm\u00fc tek ad\u0131mda ger\u00e7ekle\u015ftirmemize yard\u0131mc\u0131 olabilecek kural \u015f\u00f6yledir:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u00d6ncelikle pay ve paydan\u0131n en b\u00fcy\u00fck ortak b\u00f6lenini belirliyoruz.<\/li>\n\n\n\n<li>Pay ve payday\u0131 en b\u00fcy\u00fck ortak b\u00f6len say\u0131ya b\u00f6leriz.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Yukar\u0131da anlat\u0131lan iki ad\u0131m\u0131 do\u011fru \u015fekilde yaparsak sadele\u015ftirmeden sonra elde edece\u011fimiz kesir en basit haliyle olur.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Basitle\u015ftirme Kural\u0131n\u0131n Kullan\u0131m\u0131na Bir \u00d6rnek<\/h3>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color wp-block-paragraph\">\u00d6rnek 1: A\u015fa\u011f\u0131da verilen kesri en basit haline sadele\u015ftiriniz!<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"77\" height=\"140\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/36-uzerinden-8-kesirini-basitlestirme.jpg\" alt=\"36 \u00fczerinden 8 kesirini basitle\u015ftirme\" class=\"wp-image-1596\"\/><\/figure>\n<\/div>\n\n\n<p class=\"has-vivid-purple-color has-text-color wp-block-paragraph\">\u0130lk y\u00f6ntem! Kesirleri basitle\u015ftirmek i\u00e7in yukar\u0131daki kural\u0131 kullan\u0131rsak, \u00f6ncelikle pay ve payda i\u00e7in <a href=\"https:\/\/www.matematikazavsicki.com\/tr\/en-buyuk-ortak-bolen\/\">en b\u00fcy\u00fck b\u00f6leni<\/a> belirlememiz gerekir (bunu nas\u0131l yapaca\u011f\u0131n\u0131z\u0131 unutmay\u0131n)!<\/p>\n\n\n\n<p class=\"has-text-align-center has-vivid-purple-color has-text-color has-large-font-size wp-block-paragraph\">(8,36) = 4<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color wp-block-paragraph\">8 ve 36 say\u0131lar\u0131 i\u00e7in en b\u00fcy\u00fck b\u00f6len (hem pay\u0131 hem de payday\u0131 b\u00f6lebilece\u011fimiz bir say\u0131, bu t\u00fcr olas\u0131 say\u0131lar\u0131n en b\u00fcy\u00fc\u011f\u00fcd\u00fcr) 4 say\u0131s\u0131d\u0131r. Pay ve payday\u0131 ayn\u0131 anda b\u00f6ld\u00fckten sonra, 4 say\u0131s\u0131 ile a\u015fa\u011f\u0131daki sonu\u00e7 elde edilir:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"335\" height=\"137\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/8-kesirini-36dan-kisaltmak.jpg\" alt=\"8 kesirini 36'dan k\u0131saltmak\" class=\"wp-image-1599\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/8-kesirini-36dan-kisaltmak.jpg 335w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/8-kesirini-36dan-kisaltmak-300x123.jpg 300w\" sizes=\"auto, (max-width: 335px) 100vw, 335px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-vivid-purple-color has-text-color wp-block-paragraph\">2\/9 kesirinin 8\/36 kesirinin en basit hali oldu\u011fu sonucuna var\u0131yoruz!<\/p>\n\n\n\n<p class=\"has-vivid-red-color has-text-color wp-block-paragraph\">\u0130kinci y\u00f6ntem! 8\/36 kesrini iki ad\u0131mda sadele\u015ftirebiliriz. Pay ve paydan\u0131n en b\u00fcy\u00fck ortak b\u00f6lenini aramak istemiyorsan\u0131z, buna gerek yoktur. \u00d6rne\u011fin 8 ve 36&#8217;n\u0131n \u00e7ift say\u0131 oldu\u011fu ger\u00e7e\u011fiyle ba\u015flayabiliriz. \u00c7ift olduklar\u0131nda mutlaka <a href=\"https:\/\/www.matematikazavsicki.com\/tr\/2ye-3e-veya-6ya-bolunebilme-isaretleri\/\">2 say\u0131s\u0131na b\u00f6l\u00fcnebilirler<\/a> demektir. 8\/36 kesrini 2 say\u0131s\u0131na k\u0131saltmaya karar verirsek bu do\u011frudur. Pay\u0131 ve pay\u0131 2 say\u0131s\u0131na b\u00f6ld\u00fckten sonra, Ayn\u0131 ba\u015flang\u0131\u00e7 \u200b\u200bkesri i\u00e7in a\u015fa\u011f\u0131daki girdi e\u015f zamanl\u0131 olarak elde edilir:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"353\" height=\"137\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/36-uzerinden-8-kesirini-basitlestirmek-icin-ikinci-bir-yontem.jpg\" alt=\"36 \u00fczerinden 8 kesirini basitle\u015ftirmek i\u00e7in ikinci bir y\u00f6ntem\" class=\"wp-image-1601\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/36-uzerinden-8-kesirini-basitlestirmek-icin-ikinci-bir-yontem.jpg 353w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/36-uzerinden-8-kesirini-basitlestirmek-icin-ikinci-bir-yontem-300x116.jpg 300w\" sizes=\"auto, (max-width: 353px) 100vw, 353px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-vivid-red-color has-text-color wp-block-paragraph\">Ortaya \u00e7\u0131kan sonu\u00e7, yani 4\/18 kesri, 8\/36 kesirinin <a href=\"https:\/\/www.matematikazavsicki.com\/tr\/esdeger-kesirler\/\">e\u015fde\u011fer kesri<\/a> i\u00e7in sadece ba\u015fka bir girdidir. Bu yeni girdiyi (\u00e7\u00fcnk\u00fc 4 ve 18 yine \u00e7ift say\u0131lard\u0131r) 2 say\u0131s\u0131na b\u00f6lebiliriz. Bunu ikinci kez yaparsak a\u015fa\u011f\u0131daki \u00e7\u00f6z\u00fcm\u00fc elde ederiz:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"335\" height=\"137\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/8-kesirini-36dan-kisaltmak-1.jpg\" alt=\"8 kesirini 36'dan k\u0131saltmak\" class=\"wp-image-1603\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/8-kesirini-36dan-kisaltmak-1.jpg 335w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/8-kesirini-36dan-kisaltmak-1-300x123.jpg 300w\" sizes=\"auto, (max-width: 335px) 100vw, 335px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">Kolayca g\u00f6r\u00fclebilece\u011fi gibi birinci y\u00f6ntemle elde edilen \u00e7\u00f6z\u00fcm ile ikinci y\u00f6ntemle elde edilen \u00e7\u00f6z\u00fcm ayn\u0131d\u0131r. Bu, kesirleri ne kadar basitle\u015ftirirsek sadele\u015ftirelim (kullan\u0131p kullanmad\u0131\u011f\u0131m\u0131z\u0131), e\u011fer do\u011fru \u015fekilde sadele\u015ftirirsek, k\u0131saltt\u0131\u011f\u0131m\u0131z kesrin her zaman do\u011fru en basit temsilini elde edece\u011fimizi g\u00f6sterir!<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Video \u00d6rnekleri<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">A\u015fa\u011f\u0131daki video, en b\u00fcy\u00fck ortak b\u00f6leni kullanan ilk y\u00f6ntemi kullanarak kesirleri en basit bi\u00e7imine basitle\u015ftirme \u00f6rneklerini i\u00e7erir!<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><a href=\"https:\/\/youtu.be\/AaXeJHfaVrs\"><img loading=\"lazy\" decoding=\"async\" width=\"526\" height=\"315\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Kesirleri-Sadelestirme.jpg\" alt=\"Kesirleri Sadele\u015ftirme\" class=\"wp-image-1605\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Kesirleri-Sadelestirme.jpg 526w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Kesirleri-Sadelestirme-300x180.jpg 300w\" sizes=\"auto, (max-width: 526px) 100vw, 526px\" \/><\/a><\/figure>\n<\/div>\n\n\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n\n\n<form role=\"search\" method=\"get\" action=\"https:\/\/www.matematikazavsicki.com\/tr\/\" class=\"wp-block-search__button-outside wp-block-search__icon-button wp-block-search\"    ><label class=\"wp-block-search__label\" for=\"wp-block-search__input-1\" >Gerekli malzemeyi kolayca bulun! A\u015fa\u011f\u0131daki pencereye matematik terimini girin ve aray\u0131n!<\/label><div class=\"wp-block-search__inside-wrapper\" ><input class=\"wp-block-search__input\" id=\"wp-block-search__input-1\" placeholder=\"Ne \u00e7al\u0131\u015fmak istiyorsun?\" value=\"\" type=\"search\" name=\"s\" required \/><button aria-label=\"Search\" class=\"wp-block-search__button has-icon wp-element-button\" type=\"submit\" ><svg class=\"search-icon\" viewBox=\"0 0 24 24\" width=\"24\" height=\"24\">\n\t\t\t\t\t<path d=\"M13 5c-3.3 0-6 2.7-6 6 0 1.4.5 2.7 1.3 3.7l-3.8 3.8 1.1 1.1 3.8-3.8c1 .8 2.3 1.3 3.7 1.3 3.3 0 6-2.7 6-6S16.3 5 13 5zm0 10.5c-2.5 0-4.5-2-4.5-4.5s2-4.5 4.5-4.5 4.5 2 4.5 4.5-2 4.5-4.5 4.5z\"><\/path>\n\t\t\t\t<\/svg><\/button><\/div><\/form>\n\n\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">www.mathematikazavsicki.com\/tr\/&#8217;u takip edin!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">www.matematikazavsicki.com\/tr\/&#8217;un Facebook, Instagram, Twitter ve Youtube profillerine a\u015fa\u011f\u0131daki butonlar\u0131 kullanarak ba\u011flanarak gelecekte yay\u0131nlanacak bilgi ve materyalleri takip edebilirsiniz.<\/p>\n\n\n\n<div class=\"wp-block-wpzoom-blocks-social-icons is-style-with-canvas-round\" style=\"--wpz-social-icons-block-item-font-size:65px;--wpz-social-icons-block-item-padding-horizontal:6px;--wpz-social-icons-block-item-padding-vertical:6px;--wpz-social-icons-block-item-margin-horizontal:5px;--wpz-social-icons-block-item-margin-vertical:5px;--wpz-social-icons-block-item-border-radius:50px;--wpz-social-icons-block-label-font-size:16px;--wpz-social-icons-block-label-color:#2e3131;--wpz-social-icons-block-label-color-hover:#2e3131;--wpz-social-icons-alignment:center\"><a href=\"https:\/\/www.facebook.com\/matematikazasite\" class=\"social-icon-link\" title=\"Facebook\" style=\"--wpz-social-icons-block-item-color:#1877F2;--wpz-social-icons-block-item-color-hover:#1877F2\"><span class=\"social-icon socicon socicon-facebook\"><\/span><\/a><a href=\"https:\/\/twitter.com\/sr89BgRn0zh5VpL\" class=\"social-icon-link\" title=\"Twitter\" style=\"--wpz-social-icons-block-item-color:#1da1f2;--wpz-social-icons-block-item-color-hover:#1da1f2\"><span class=\"social-icon socicon socicon-twitter\"><\/span><\/a><a href=\"https:\/\/www.instagram.com\/matematikazasite\/\" class=\"social-icon-link\" title=\"Instagram\" style=\"--wpz-social-icons-block-item-color:#E4405F;--wpz-social-icons-block-item-color-hover:#E4405F\"><span class=\"social-icon socicon socicon-instagram\"><\/span><\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Kesirleri en basit haline getirmek i\u00e7in hangi y\u00f6ntem kullan\u0131lmal\u0131d\u0131r? A\u015fa\u011f\u0131da kesirleri basitle\u015ftirmeye y\u00f6nelik bir kural\u0131n\u0131z ve basitle\u015ftirmeye (k\u0131saltmaya) y\u00f6nelik iki farkl\u0131 yakla\u015f\u0131m\u0131n\u0131z var. Kesirleri Sadele\u015ftirme Kural\u0131 Belirli bir kesri do\u011fru [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":1605,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2,3,4,7],"tags":[165,315,384],"class_list":["post-1586","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-5-sinif-matematik","category-6-sinif-matematik","category-7-sinif-matematik","category-cebir","tag-kesirleri","tag-ornek","tag-sadelestirme"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Kesirleri Sadele\u015ftirme<\/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.matematikazavsicki.com\/tr\/kesirleri-sadelestirme\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Kesirleri Sadele\u015ftirme\" \/>\n<meta property=\"og:description\" content=\"Kesirleri en basit haline getirmek i\u00e7in hangi y\u00f6ntem kullan\u0131lmal\u0131d\u0131r? A\u015fa\u011f\u0131da kesirleri basitle\u015ftirmeye y\u00f6nelik bir kural\u0131n\u0131z ve basitle\u015ftirmeye (k\u0131saltmaya) y\u00f6nelik iki farkl\u0131 yakla\u015f\u0131m\u0131n\u0131z var. 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A\u015fa\u011f\u0131da kesirleri basitle\u015ftirmeye y\u00f6nelik bir kural\u0131n\u0131z ve basitle\u015ftirmeye (k\u0131saltmaya) y\u00f6nelik iki farkl\u0131 yakla\u015f\u0131m\u0131n\u0131z var. 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