{"id":684,"date":"2023-09-30T18:03:39","date_gmt":"2023-09-30T18:03:39","guid":{"rendered":"https:\/\/www.matematikazavsicki.com\/tr\/?p=684"},"modified":"2023-09-30T18:03:40","modified_gmt":"2023-09-30T18:03:40","slug":"esdeger-kesirler","status":"publish","type":"post","link":"https:\/\/www.matematikazavsicki.com\/tr\/esdeger-kesirler\/","title":{"rendered":"E\u015fde\u011fer Kesirler"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">E\u015fde\u011fer kesirler, ayn\u0131 de\u011fere sahip iki veya daha fazla kesirdir. Bu sayfadaki videoda, iki veya daha fazla kesrin nas\u0131l ayn\u0131 veya e\u015fit de\u011fere sahip olabilece\u011fini anlaman\u0131za yard\u0131mc\u0131 olacak bir grafik g\u00f6sterimi bulunmaktad\u0131r.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Kesirlerin Denkli\u011fini Kontrol Edin<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u0130ki kesrin e\u015fde\u011fer olup olmad\u0131\u011f\u0131n\u0131 nas\u0131l kontrol edebilirsiniz? Kesirleri en basit haline getirmek (basitle\u015ftirmek veya k\u0131saltmak) yeterlidir. Bu, kesirlerin her birinin pay ve paydas\u0131n\u0131n <a href=\"https:\/\/www.matematikazavsicki.com\/tr\/en-buyuk-ortak-bolen\/\">en b\u00fcy\u00fck ortak b\u00f6lenine<\/a> b\u00f6l\u00fcnmesi gerekti\u011fi anlam\u0131na gelir. En basit bi\u00e7imleri birbirine e\u015fitse kesirlerin e\u015fde\u011fer oldu\u011fu sonucunu \u00e7\u0131kar\u0131r\u0131z. \u0130\u015flem, kesirlerin basitle\u015ftirilmesi veya kesirlerin k\u0131salt\u0131lmas\u0131 olarak bilinir. A\u015fa\u011f\u0131daki resme bak\u0131n:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"171\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/09\/Esdeger-kesirlere-bir-ornek.jpg\" alt=\"E\u015fde\u011fer kesirlere bir \u00f6rnek\" class=\"wp-image-691\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/09\/Esdeger-kesirlere-bir-ornek.jpg 500w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/09\/Esdeger-kesirlere-bir-ornek-300x103.jpg 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">4\/6 ve 12\/18 kesirlerinin e\u015fde\u011fer olup olmad\u0131\u011f\u0131n\u0131 kontrol edelim mi?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0130lk kesir olan 4\/6&#8217;y\u0131 ele alal\u0131m. 4 ile 6&#8217;n\u0131n en b\u00fcy\u00fck ortak b\u00f6leni 2 say\u0131s\u0131d\u0131r. Hem pay 4&#8217;\u00fc hem de payda 6&#8217;y\u0131 2&#8217;ye b\u00f6l\u00fcyoruz. B\u00f6lme i\u015fleminden sonra 2\/3 kesirini elde ediyoruz.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0130kinci kesir olan 12\/18&#8217;i ele alal\u0131m. 12 ile 18&#8217;in en b\u00fcy\u00fck ortak b\u00f6leni 6 say\u0131s\u0131d\u0131r. Hem pay 12&#8217;yi hem de payda 18&#8217;i 6&#8217;ya b\u00f6leriz. B\u00f6lme i\u015fleminden sonra 2\/3 kesirini elde ederiz.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><a href=\"https:\/\/youtu.be\/Weg8Lwor-T8\"><img loading=\"lazy\" decoding=\"async\" width=\"526\" height=\"315\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/09\/Esdeger-Kesirler.jpg\" alt=\"E\u015fde\u011fer Kesirler\" class=\"wp-image-689\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/09\/Esdeger-Kesirler.jpg 526w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/09\/Esdeger-Kesirler-300x180.jpg 300w\" sizes=\"auto, (max-width: 526px) 100vw, 526px\" \/><\/a><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">\u0130\u015flem sonunda her iki kesir i\u00e7in de ayn\u0131 kesri elde etti\u011fimizde 4\/6 ve 12\/18 kesirlerinin e\u015fde\u011fer kesirler oldu\u011fu sonucuna var\u0131labilir. Ayn\u0131 i\u015flem s\u0131ras\u0131nda belirli kesirler i\u00e7in sonu\u00e7ta ayn\u0131 kesir elde edilemiyorsa bu iki kesir birbirine e\u015fde\u011fer de\u011fildir.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Kesirlerin Geni\u015fletilmesi<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Kesirlerin denkli\u011fi, kesirlerin geni\u015fletilmesi olarak bilinen i\u015flemin ger\u00e7ekle\u015ftirilmesine olanak sa\u011flar. Belirli bir kesri geni\u015fletmek, pay\u0131n\u0131 ve paydas\u0131n\u0131 ayn\u0131 say\u0131yla \u00e7arpmak anlam\u0131na gelir. A\u015fa\u011f\u0131daki resme bak\u0131n:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/09\/Kesirlerin-genisletilmesi.jpg\" alt=\"Kesirlerin geni\u015fletilmesi\" class=\"wp-image-693\" style=\"width:392px;height:184px\" width=\"392\" height=\"184\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/09\/Kesirlerin-genisletilmesi.jpg 500w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/09\/Kesirlerin-genisletilmesi-300x141.jpg 300w\" sizes=\"auto, (max-width: 392px) 100vw, 392px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">\u00d6rnek: 4\/6 kesrini 2 say\u0131s\u0131yla a\u00e7mak istiyorsak 4 say\u0131s\u0131n\u0131 ve 6 say\u0131s\u0131n\u0131 2 say\u0131s\u0131yla \u00e7arpaca\u011f\u0131z. A\u00e7\u0131l\u0131mdan sonraki kesir 8\/12 oluyor.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mant\u0131ksal olarak, 8\/12 kesri, orijinal 4\/6 kesirinin yaln\u0131zca yeni bir e\u015fit (e\u015fde\u011fer kesir) \u00e7e\u015fididir.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Video, \u00fc\u00e7 farkl\u0131 olas\u0131l\u0131ktan e\u015fde\u011fer kesirleri belirlemek i\u00e7in \u00e7e\u015fitli g\u00f6revler i\u00e7erir.<\/p>\n\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! 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Bu sayfadaki videoda, iki veya daha fazla kesrin nas\u0131l ayn\u0131 veya e\u015fit de\u011fere sahip olabilece\u011fini anlaman\u0131za yard\u0131mc\u0131 olacak bir grafik [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":689,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2,3,4,5,6,7],"tags":[249,251,250],"class_list":["post-684","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-5-sinif-matematik","category-6-sinif-matematik","category-7-sinif-matematik","category-8-sinif-matematik","category-9-sinif-matematik","category-cebir","tag-esdeger","tag-genisletilmesi","tag-kesirler"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>E\u015fde\u011fer Kesirler<\/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\/esdeger-kesirler\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"E\u015fde\u011fer Kesirler\" \/>\n<meta property=\"og:description\" content=\"E\u015fde\u011fer kesirler, ayn\u0131 de\u011fere sahip iki veya daha fazla kesirdir. Bu sayfadaki videoda, iki veya daha fazla kesrin nas\u0131l ayn\u0131 veya e\u015fit de\u011fere sahip olabilece\u011fini anlaman\u0131za yard\u0131mc\u0131 olacak bir grafik [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.matematikazavsicki.com\/tr\/esdeger-kesirler\/\" \/>\n<meta property=\"og:site_name\" content=\"Matematik\" \/>\n<meta property=\"article:published_time\" content=\"2023-09-30T18:03:39+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2023-09-30T18:03:40+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/09\/Esdeger-Kesirler.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"526\" \/>\n\t<meta property=\"og:image:height\" content=\"315\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Blaze Angelov\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Blaze Angelov\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.matematikazavsicki.com\/tr\/esdeger-kesirler\/\",\"url\":\"https:\/\/www.matematikazavsicki.com\/tr\/esdeger-kesirler\/\",\"name\":\"E\u015fde\u011fer Kesirler\",\"isPartOf\":{\"@id\":\"https:\/\/www.matematikazavsicki.com\/tr\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/www.matematikazavsicki.com\/tr\/esdeger-kesirler\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/www.matematikazavsicki.com\/tr\/esdeger-kesirler\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/09\/Esdeger-Kesirler.jpg\",\"datePublished\":\"2023-09-30T18:03:39+00:00\",\"dateModified\":\"2023-09-30T18:03:40+00:00\",\"author\":{\"@id\":\"https:\/\/www.matematikazavsicki.com\/tr\/#\/schema\/person\/c0511828591bd00433a95b3155f1b471\"},\"breadcrumb\":{\"@id\":\"https:\/\/www.matematikazavsicki.com\/tr\/esdeger-kesirler\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.matematikazavsicki.com\/tr\/esdeger-kesirler\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.matematikazavsicki.com\/tr\/esdeger-kesirler\/#primaryimage\",\"url\":\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/09\/Esdeger-Kesirler.jpg\",\"contentUrl\":\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/09\/Esdeger-Kesirler.jpg\",\"width\":526,\"height\":315,\"caption\":\"E\u015fde\u011fer Kesirler\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.matematikazavsicki.com\/tr\/esdeger-kesirler\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/www.matematikazavsicki.com\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"E\u015fde\u011fer Kesirler\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.matematikazavsicki.com\/tr\/#website\",\"url\":\"https:\/\/www.matematikazavsicki.com\/tr\/\",\"name\":\"Matematik\",\"description\":\"\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.matematikazavsicki.com\/tr\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/www.matematikazavsicki.com\/tr\/#\/schema\/person\/c0511828591bd00433a95b3155f1b471\",\"name\":\"Blaze Angelov\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.matematikazavsicki.com\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/1a6244e6f81fd50df6172cc11c7bafcdc0c79080dc8fbf4f2f195abd437af8d0?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/1a6244e6f81fd50df6172cc11c7bafcdc0c79080dc8fbf4f2f195abd437af8d0?s=96&d=mm&r=g\",\"caption\":\"Blaze Angelov\"},\"sameAs\":[\"http:\/\/matematikazavsicki.com\/tr\"],\"url\":\"https:\/\/www.matematikazavsicki.com\/tr\/author\/matematik\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"E\u015fde\u011fer Kesirler","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.matematikazavsicki.com\/tr\/esdeger-kesirler\/","og_locale":"en_US","og_type":"article","og_title":"E\u015fde\u011fer Kesirler","og_description":"E\u015fde\u011fer kesirler, ayn\u0131 de\u011fere sahip iki veya daha fazla kesirdir. 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