{"id":1865,"date":"2020-09-23T07:59:11","date_gmt":"2020-09-23T05:59:11","guid":{"rendered":"http:\/\/mathe-lernen.net\/?p=1865"},"modified":"2021-11-20T10:19:36","modified_gmt":"2021-11-20T09:19:36","slug":"erweitern-von-bruechen-2","status":"publish","type":"post","link":"https:\/\/mathe-lernen.net\/?p=1865","title":{"rendered":"Erweitern von Br\u00fcchen"},"content":{"rendered":"\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"469\" src=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/09\/pizza_halb-1024x469.jpg\" alt=\"\" class=\"wp-image-1866\" srcset=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/09\/pizza_halb-1024x469.jpg 1024w, https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/09\/pizza_halb-300x137.jpg 300w, https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/09\/pizza_halb-768x352.jpg 768w, https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/09\/pizza_halb-1536x704.jpg 1536w, https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/09\/pizza_halb.jpg 1768w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>Egal, ob man eine halbe Pizza oder &#8222;2 Viertel&#8220;  von einer Pizza oder gar &#8222;4 Achtel&#8220; einer Pizza isst, man erh\u00e4lt &#8222;den gleichen Anteil&#8220; der Pizza. Diese Br\u00fcche sind gleich gro\u00df und stellen den gleichen Anteil von etwas dar!<\/p>\n\n\n\n<p class=\"has-white-color has-primary-background-color has-text-color has-background\">Wenn sich Z\u00e4hler und Nenner um den gleichen Faktor vergr\u00f6\u00dfern, \u00e4ndert sich die Gr\u00f6\u00dfe des Bruches 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\/pizza_erweitern-1024x474.jpg\" alt=\"\" class=\"wp-image-1867\" width=\"692\" height=\"320\" srcset=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/09\/pizza_erweitern-1024x474.jpg 1024w, https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/09\/pizza_erweitern-300x139.jpg 300w, https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/09\/pizza_erweitern-768x356.jpg 768w, https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/09\/pizza_erweitern-1536x712.jpg 1536w, https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/09\/pizza_erweitern.jpg 1828w\" sizes=\"auto, (max-width: 692px) 100vw, 692px\" \/><\/figure>\n\n\n\n<p class=\"has-white-color has-text-color has-background\" style=\"background-color:#ff0004\"><strong>Das Multiplizieren von Z\u00e4hler und Nenner mit dem gleichen Faktor nennt man Erweitern eines Bruches!<\/strong><br>Der Faktor mit dem Multipliziert wird, hei\u00dft Erweiertungszahl.<\/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=\"Erweitern von Br\u00fcchen\" width=\"860\" height=\"484\" src=\"https:\/\/www.youtube.com\/embed\/AJibpQPn0uc?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe>\n<\/div><figcaption>Das 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:#bfecff\"><a href=\"https:\/\/mathe.aufgabenfuchs.de\/bruch\/erweitern---kuerzen.shtml\" target=\"_blank\" rel=\"noreferrer noopener\">Hier gibt es \u00dcbungen zum erweitern von Br\u00fcchen bei aufgabenfuchs.de<\/a><\/p>\n<div class=\"pvc_clear\"><\/div><p id=\"pvc_stats_1865\" class=\"pvc_stats all  \" data-element-id=\"1865\" 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>Egal, ob man eine halbe Pizza oder &#8222;2 Viertel&#8220; von einer Pizza oder gar &#8222;4 Achtel&#8220; einer Pizza isst, man erh\u00e4lt &#8222;den gleichen Anteil&#8220; der Pizza. Diese Br\u00fcche sind gleich gro\u00df und stellen den gleichen Anteil von etwas dar! Wenn sich Z\u00e4hler und Nenner um den gleichen Faktor vergr\u00f6\u00dfern, \u00e4ndert sich die Gr\u00f6\u00dfe des Bruches nicht! Das Multiplizieren von Z\u00e4hler<\/p>\n<div class=\"pvc_clear\"><\/div>\n<p id=\"pvc_stats_1865\" class=\"pvc_stats all  \" data-element-id=\"1865\" 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":[4,5,149,163,164,484],"class_list":["post-1865","post","type-post","status-publish","format-standard","hentry","category-brueche-gebrochene-zahlen","category-gebrochene-zahlen","category-anteile-und-groessen","tag-brueche","tag-bruch","tag-erweitern","tag-zaehler","tag-nenner","tag-gemein"],"a3_pvc":{"activated":true,"total_views":1244,"today_views":0},"_links":{"self":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/posts\/1865","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=1865"}],"version-history":[{"count":0,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/posts\/1865\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1865"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1865"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1865"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}