{"id":1869,"date":"2020-09-23T08:19:31","date_gmt":"2020-09-23T06:19:31","guid":{"rendered":"http:\/\/mathe-lernen.net\/?p=1869"},"modified":"2021-11-20T10:19:29","modified_gmt":"2021-11-20T09:19:29","slug":"kuerzen-von-bruechen","status":"publish","type":"post","link":"https:\/\/mathe-lernen.net\/?p=1869","title":{"rendered":"K\u00fcrzen von Br\u00fcchen"},"content":{"rendered":"\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/09\/pizza2_halb-1024x637.jpg\" alt=\"\" class=\"wp-image-1870\" width=\"649\" height=\"403\" srcset=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/09\/pizza2_halb-1024x637.jpg 1024w, https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/09\/pizza2_halb-300x187.jpg 300w, https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/09\/pizza2_halb-768x477.jpg 768w, https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/09\/pizza2_halb-1536x955.jpg 1536w, https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/09\/pizza2_halb.jpg 1832w\" sizes=\"auto, (max-width: 649px) 100vw, 649px\" \/><\/figure>\n\n\n\n<p class=\"has-black-color has-white-background-color has-text-color has-background\"><strong>Niemand bestellt &#8222;Vier Achtel&#8220; einer Pizza!<\/strong><br>Wir haben es uns angew\u00f6hnt, die Zahlen in Br\u00fcchen m\u00f6glichst klein zu halten. <br>F\u00fcr uns sind Br\u00fcche so besser vorstellbar.<\/p>\n\n\n\n<p class=\"has-white-color has-primary-background-color has-text-color has-background\">Das <strong>Dividieren von Z\u00e4hlern und Nennern mit dem gleichen Divisor<\/strong> nennt man <strong>K\u00fcrzen eines Bruches<\/strong>!<br>Die Gr\u00f6\u00dfe des Bruches \u00e4ndert sich hierbei nicht!<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/09\/pizza2_halb2-1024x637.jpg\" alt=\"\" class=\"wp-image-1871\" width=\"638\" height=\"396\" srcset=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/09\/pizza2_halb2-1024x637.jpg 1024w, https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/09\/pizza2_halb2-300x187.jpg 300w, https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/09\/pizza2_halb2-768x477.jpg 768w, https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/09\/pizza2_halb2-1536x955.jpg 1536w, https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/09\/pizza2_halb2.jpg 1832w\" sizes=\"auto, (max-width: 638px) 100vw, 638px\" \/><\/figure>\n\n\n\n<p class=\"has-light-gray-background-color has-background\">Du solltest bei der Angabe von Br\u00fcchen also immer versuchen, die Form mit den kleinsten Zahlen zu finden. <br>Das macht den guten Mathematiker aus!<\/p>\n\n\n\n<figure class=\"wp-block-embed-youtube wp-block-embed is-type-video is-provider-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"K\u00fcrzen von Br\u00fcchen\" width=\"860\" height=\"484\" src=\"https:\/\/www.youtube.com\/embed\/MwAgEXlei_8?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe>\n<\/div><figcaption>Dieses Video stammt von <a href=\"http:\/\/www.aufgabenfuchs.de\" target=\"_blank\" rel=\"noreferrer noopener\">www.aufgabenfuchs.de<\/a><\/figcaption><\/figure>\n\n\n\n<p class=\"has-background\" style=\"background-color:#ebffc5\"><a rel=\"noreferrer noopener\" href=\"https:\/\/mathe.aufgabenfuchs.de\/bruch\/erweitern---kuerzen.shtml\" target=\"_blank\">Hier findest Du \u00dcbungen zum K\u00fcrzen von aufgabenfuchs.de.<\/a><\/p>\n\n\n\n<p class=\"has-background\" style=\"background-color:#efe4ff\"><a href=\"http:\/\/realmath.de\/Neues\/Klasse6\/kuerzen\/kuerzen.html\" target=\"_blank\" rel=\"noreferrer noopener\">\u00dcbungen von realmath.de<\/a><\/p>\n<div class=\"pvc_clear\"><\/div><p id=\"pvc_stats_1869\" class=\"pvc_stats all  \" data-element-id=\"1869\" style=\"\"><i class=\"pvc-stats-icon small\" aria-hidden=\"true\"><svg aria-hidden=\"true\" focusable=\"false\" data-prefix=\"far\" data-icon=\"chart-bar\" role=\"img\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 512 512\" class=\"svg-inline--fa fa-chart-bar fa-w-16 fa-2x\"><path fill=\"currentColor\" d=\"M396.8 352h22.4c6.4 0 12.8-6.4 12.8-12.8V108.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v230.4c0 6.4 6.4 12.8 12.8 12.8zm-192 0h22.4c6.4 0 12.8-6.4 12.8-12.8V140.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v198.4c0 6.4 6.4 12.8 12.8 12.8zm96 0h22.4c6.4 0 12.8-6.4 12.8-12.8V204.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v134.4c0 6.4 6.4 12.8 12.8 12.8zM496 400H48V80c0-8.84-7.16-16-16-16H16C7.16 64 0 71.16 0 80v336c0 17.67 14.33 32 32 32h464c8.84 0 16-7.16 16-16v-16c0-8.84-7.16-16-16-16zm-387.2-48h22.4c6.4 0 12.8-6.4 12.8-12.8v-70.4c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v70.4c0 6.4 6.4 12.8 12.8 12.8z\" class=\"\"><\/path><\/svg><\/i> <img loading=\"lazy\" decoding=\"async\" width=\"16\" height=\"16\" alt=\"Loading\" src=\"https:\/\/mathe-lernen.net\/wp-content\/plugins\/page-views-count\/ajax-loader-2x.gif\" border=0 \/><\/p><div class=\"pvc_clear\"><\/div> ","protected":false},"excerpt":{"rendered":"<p>Niemand bestellt &#8222;Vier Achtel&#8220; einer Pizza!Wir haben es uns angew\u00f6hnt, die Zahlen in Br\u00fcchen m\u00f6glichst klein zu halten. F\u00fcr uns sind Br\u00fcche so besser vorstellbar. Das Dividieren von Z\u00e4hlern und Nennern mit dem gleichen Divisor nennt man K\u00fcrzen eines Bruches!Die Gr\u00f6\u00dfe des Bruches \u00e4ndert sich hierbei nicht! Du solltest bei der Angabe von Br\u00fcchen also immer versuchen, die Form mit<\/p>\n<div class=\"pvc_clear\"><\/div>\n<p id=\"pvc_stats_1869\" class=\"pvc_stats all  \" data-element-id=\"1869\" style=\"\"><i class=\"pvc-stats-icon small\" aria-hidden=\"true\"><svg aria-hidden=\"true\" focusable=\"false\" data-prefix=\"far\" data-icon=\"chart-bar\" role=\"img\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 512 512\" class=\"svg-inline--fa fa-chart-bar fa-w-16 fa-2x\"><path fill=\"currentColor\" d=\"M396.8 352h22.4c6.4 0 12.8-6.4 12.8-12.8V108.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v230.4c0 6.4 6.4 12.8 12.8 12.8zm-192 0h22.4c6.4 0 12.8-6.4 12.8-12.8V140.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v198.4c0 6.4 6.4 12.8 12.8 12.8zm96 0h22.4c6.4 0 12.8-6.4 12.8-12.8V204.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v134.4c0 6.4 6.4 12.8 12.8 12.8zM496 400H48V80c0-8.84-7.16-16-16-16H16C7.16 64 0 71.16 0 80v336c0 17.67 14.33 32 32 32h464c8.84 0 16-7.16 16-16v-16c0-8.84-7.16-16-16-16zm-387.2-48h22.4c6.4 0 12.8-6.4 12.8-12.8v-70.4c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v70.4c0 6.4 6.4 12.8 12.8 12.8z\" class=\"\"><\/path><\/svg><\/i> <img loading=\"lazy\" decoding=\"async\" width=\"16\" height=\"16\" alt=\"Loading\" src=\"https:\/\/mathe-lernen.net\/wp-content\/plugins\/page-views-count\/ajax-loader-2x.gif\" border=0 \/><\/p>\n<div class=\"pvc_clear\"><\/div>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[956,31,28],"tags":[4,5,150,163,164,484],"class_list":["post-1869","post","type-post","status-publish","format-standard","hentry","category-brueche-gebrochene-zahlen","category-gebrochene-zahlen","category-anteile-und-groessen","tag-brueche","tag-bruch","tag-kuerzen","tag-zaehler","tag-nenner","tag-gemein"],"a3_pvc":{"activated":true,"total_views":923,"today_views":0},"_links":{"self":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/posts\/1869","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1869"}],"version-history":[{"count":0,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/posts\/1869\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1869"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1869"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1869"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}