{"id":1397,"date":"2023-10-02T14:24:48","date_gmt":"2023-10-02T14:24:48","guid":{"rendered":"https:\/\/www.matematikazavsicki.com\/tr\/?p=1397"},"modified":"2023-10-02T14:24:48","modified_gmt":"2023-10-02T14:24:48","slug":"kesirlerde-carpma-ve-bolme","status":"publish","type":"post","link":"https:\/\/www.matematikazavsicki.com\/tr\/kesirlerde-carpma-ve-bolme\/","title":{"rendered":"Kesirlerde \u00c7arpma Ve B\u00f6lme"},"content":{"rendered":"\n<p>Bu sayfada kesirlerde \u00e7arpma ve b\u00f6lme kurallar\u0131n\u0131 g\u00f6rebilirsiniz. Burada sadece kesirlerin kesirlerle \u00e7arp\u0131lmas\u0131 ve b\u00f6l\u00fcnmesiyle kar\u015f\u0131la\u015facaks\u0131n\u0131z! A\u015fa\u011f\u0131daki sayfada \u00e7\u00f6z\u00fclm\u00fc\u015f \u00f6rnekleri do\u011frudan sayfan\u0131n kendisinde g\u00f6rebilirsiniz, ayr\u0131ca bir\u00e7ok \u00e7\u00f6z\u00fclm\u00fc\u015f \u00f6rne\u011fi video format\u0131nda g\u00f6rebilirsiniz. <a href=\"https:\/\/www.matematikazavsicki.com\/tr\/kesirleri-toplama-cikarma\/\">Kesirlerde toplama ve \u00e7\u0131karma<\/a> i\u015flemlerine k\u0131yasla kesirlerle \u00e7arpma ve b\u00f6lme i\u015flemleri \u00e7ok daha kolay matematiksel i\u015flemlerdir.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Kesirlerin \u00c7arp\u0131m\u0131<\/h2>\n\n\n\n<p>Kesirleri kesirlerle \u00e7arparken a\u015fa\u011f\u0131daki kurallar ge\u00e7erlidir:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u0130ki kesrin \u00e7arp\u0131m\u0131n\u0131n pay\u0131n\u0131, bireysel katlar\u0131n (bireysel kesirlerin) paylar\u0131n\u0131n \u00e7arp\u0131m\u0131 olarak elde ederiz.<\/li>\n\n\n\n<li>\u0130ki kesirin \u00e7arp\u0131m\u0131n\u0131n paydas\u0131n\u0131, bireysel katlar\u0131 (bireysel kesirleri) de\u011fil, paydalar\u0131n \u00e7arp\u0131m\u0131 olarak al\u0131r\u0131z.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color\">\u00d6rnek no. 1: Kesirlerin \u00e7arp\u0131m\u0131n\u0131 hesaplay\u0131n:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"93\" height=\"84\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Kesirlerin-carpimi.jpg\" alt=\"Kesirlerin \u00e7arp\u0131m\u0131\" class=\"wp-image-1403\"\/><\/figure>\n<\/div>\n\n\n<p class=\"has-vivid-purple-color has-text-color\">Yukar\u0131daki \u00f6rnekteki kesirleri \u00e7arparken \u015fu \u015fekilde hesapl\u0131yoruz:<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color\">a) \u00c7arp\u0131m\u0131n pay\u0131n\u0131, birinci kesrin pay\u0131 (3 say\u0131s\u0131) ile ikinci kesrin pay\u0131n\u0131n (3 say\u0131s\u0131) \u00e7arp\u0131m\u0131 olarak hesapl\u0131yoruz. \u00c7arp\u0131m\u0131n pay\u0131 9&#8217;dur!<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color\">b) \u00c7arp\u0131m\u0131n paydas\u0131n\u0131, birinci kesrin paydas\u0131 (4 say\u0131s\u0131) ile ikinci kesrin paydas\u0131n\u0131n (5 say\u0131s\u0131) \u00e7arp\u0131m\u0131 olarak hesapl\u0131yoruz. \u00c7arp\u0131m\u0131n paydas\u0131 20!<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color\">\u00c7\u00f6z\u00fcm prosed\u00fcr\u00fcn\u00fcn tamam\u0131n\u0131 a\u015fa\u011f\u0131da g\u00f6rebilirsiniz:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"219\" height=\"87\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Kesirleri-carpmaya-bir-ornek.jpg\" alt=\"Kesirleri \u00e7arpmaya bir \u00f6rnek\" class=\"wp-image-1405\"\/><\/figure>\n<\/div>\n\n\n<p>A\u015fa\u011f\u0131daki videoda kesirlerle \u00e7arpmayla ilgili daha fazla \u00f6rnek g\u00f6rebilirsiniz:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"526\" height=\"315\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Kesirlerin-Carpimi-1.jpg\" alt=\"Kesirlerin \u00c7arp\u0131m\u0131 1\" class=\"wp-image-1413\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Kesirlerin-Carpimi-1.jpg 526w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Kesirlerin-Carpimi-1-300x180.jpg 300w\" sizes=\"auto, (max-width: 526px) 100vw, 526px\" \/><\/figure>\n<\/div>\n\n\n<h2 class=\"wp-block-heading\">Kesirlerin B\u00f6l\u00fcnmesi<\/h2>\n\n\n\n<p>Kesirleri kesirlere b\u00f6lerken a\u015fa\u011f\u0131daki kurallar ge\u00e7erlidir:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u0130lk kesri yeniden yaz\u0131yoruz.<\/li>\n\n\n\n<li>B\u00f6lme i\u015flemini \u00e7arpma i\u015flemiyle de\u011fi\u015ftiriyoruz.<\/li>\n\n\n\n<li>\u0130kinci kesri (b\u00f6ld\u00fc\u011f\u00fcm\u00fcz kesir) ba\u015f a\u015fa\u011f\u0131 &#8220;\u00e7eviriyoruz&#8221;, yani orijinal kesrin kar\u015f\u0131l\u0131kl\u0131 de\u011ferini yaz\u0131yoruz.<\/li>\n\n\n\n<li>Son olarak kesirlerle \u00e7arpma i\u015fleminde kurallara uyuyoruz!<\/li>\n<\/ol>\n\n\n\n<p class=\"has-vivid-red-color has-text-color\">\u00d6rnek no. 2: Kesirlerin b\u00f6l\u00fcm\u00fcn\u00fc hesaplay\u0131n:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"100\" height=\"83\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Kesirlerin-bolunmesi.jpg\" alt=\"Kesirlerin b\u00f6l\u00fcnmesi\" class=\"wp-image-1407\"\/><\/figure>\n<\/div>\n\n\n<p class=\"has-vivid-red-color has-text-color\">Yukar\u0131da listelenen kurallar\u0131n ilk \u00fc\u00e7 ad\u0131m\u0131yla ba\u015fl\u0131yoruz. \u00d6nce ilk kesri yeniden yaz\u0131yoruz, sonra b\u00f6lmeyi \u00e7arpma i\u015flemiyle de\u011fi\u015ftirip ikinci kesrin tersini yaz\u0131yoruz. Bununla yukar\u0131da verilen ifadeyi a\u015fa\u011f\u0131daki forma d\u00f6n\u00fc\u015ft\u00fcr\u00fcyoruz:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"92\" height=\"86\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Kesirleri-bolmeye-bir-ornek.jpg\" alt=\"Kesirleri b\u00f6lmeye bir \u00f6rnek\" class=\"wp-image-1409\"\/><\/figure>\n<\/div>\n\n\n<p class=\"has-vivid-red-color has-text-color\">Daha sonra, bir numaral\u0131 \u00f6rne\u011fi \u00e7\u00f6zerken zaten kulland\u0131\u011f\u0131m\u0131z kesirleri kesirlerle \u00e7arpma kurallar\u0131n\u0131 takip ediyoruz. Bunlar\u0131 uygulayarak iki numaral\u0131 \u00f6rne\u011fin hesaplamas\u0131 tamamlan\u0131r. Hesaplaman\u0131n tamam\u0131 \u015funa benziyor:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"219\" height=\"89\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Kesirlerde-carpma-ve-bolme.jpg\" alt=\"Kesirlerde \u00e7arpma ve b\u00f6lme\" class=\"wp-image-1411\"\/><\/figure>\n<\/div>\n\n\n<p>A\u015fa\u011f\u0131daki videoda kesirlerin b\u00f6l\u00fcnmesiyle ilgili daha fazla \u00f6rnek yer almaktad\u0131r:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"526\" height=\"315\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Kesirlerin-Bolunmesi-1.jpg\" alt=\"Kesirlerin B\u00f6l\u00fcnmesi 1\" class=\"wp-image-1415\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Kesirlerin-Bolunmesi-1.jpg 526w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Kesirlerin-Bolunmesi-1-300x180.jpg 300w\" sizes=\"auto, (max-width: 526px) 100vw, 526px\" \/><\/figure>\n<\/div>\n\n\n<p>Kesirlerde \u00e7arpma ve b\u00f6lme i\u015fleminin birbiriyle ili\u015fkili i\u015flemler oldu\u011funu \u00f6rneklerden anlamak kolayd\u0131r. Kesirleri kesirlere b\u00f6lmek i\u00e7in \u00f6ncelikle kesirleri kesirlerle nas\u0131l \u00e7arpaca\u011f\u0131n\u0131z\u0131 bilmeniz gerekir!<\/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! 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>www.mathematikazavsicki.com\/tr\/&#8217;u takip edin!<\/p>\n\n\n\n<p>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>Bu sayfada kesirlerde \u00e7arpma ve b\u00f6lme kurallar\u0131n\u0131 g\u00f6rebilirsiniz. Burada sadece kesirlerin kesirlerle \u00e7arp\u0131lmas\u0131 ve b\u00f6l\u00fcnmesiyle kar\u015f\u0131la\u015facaks\u0131n\u0131z! A\u015fa\u011f\u0131daki sayfada \u00e7\u00f6z\u00fclm\u00fc\u015f \u00f6rnekleri do\u011frudan sayfan\u0131n kendisinde g\u00f6rebilirsiniz, ayr\u0131ca bir\u00e7ok \u00e7\u00f6z\u00fclm\u00fc\u015f \u00f6rne\u011fi video format\u0131nda [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":1413,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2,3,4,5,6,7],"tags":[349,360,358,348,359,357,315],"class_list":["post-1397","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-bolme","tag-bolunmesi","tag-carpimi","tag-carpma","tag-kesirlerde","tag-kesirlerin","tag-ornek"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Kesirlerde \u00c7arpma Ve B\u00f6lme<\/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\/kesirlerde-carpma-ve-bolme\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Kesirlerde \u00c7arpma Ve B\u00f6lme\" \/>\n<meta property=\"og:description\" content=\"Bu sayfada kesirlerde \u00e7arpma ve b\u00f6lme kurallar\u0131n\u0131 g\u00f6rebilirsiniz. Burada sadece kesirlerin kesirlerle \u00e7arp\u0131lmas\u0131 ve b\u00f6l\u00fcnmesiyle kar\u015f\u0131la\u015facaks\u0131n\u0131z! A\u015fa\u011f\u0131daki sayfada \u00e7\u00f6z\u00fclm\u00fc\u015f \u00f6rnekleri do\u011frudan sayfan\u0131n kendisinde g\u00f6rebilirsiniz, ayr\u0131ca bir\u00e7ok \u00e7\u00f6z\u00fclm\u00fc\u015f \u00f6rne\u011fi video format\u0131nda [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.matematikazavsicki.com\/tr\/kesirlerde-carpma-ve-bolme\/\" \/>\n<meta property=\"og:site_name\" content=\"Matematik\" \/>\n<meta property=\"article:published_time\" content=\"2023-10-02T14:24:48+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Kesirlerin-Carpimi-1.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\" 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