{"id":3088,"date":"2023-11-11T17:26:22","date_gmt":"2023-11-11T17:26:22","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=3088"},"modified":"2023-11-18T21:09:38","modified_gmt":"2023-11-18T21:09:38","slug":"igualdad-de-fracciones","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2023\/11\/11\/igualdad-de-fracciones\/","title":{"rendered":"Igualdad de fracciones"},"content":{"rendered":"<pre>Problema 10 del concurso Olitele 2022\r\nSe dirige a una edad de: 16-17 a\u00f1os<\/pre>\n<p>Si a, b y c son tres n\u00fameros reales diferentes de cero que cumplen la siguiente igualdad:<\/p>\n<p>(a + b)\/c = (b + c)\/a = (c + a)\/b = R<\/p>\n<p>\u00bfQu\u00e9 valor o valores reales puede tener R?<\/p>\n<p>Si para un cierto valor de K (n\u00famero real diferente de cero) existen tres n\u00fameros reales diferentes de cero a, b y c tales que <\/p>\n<p>(a + Kb)\/c = (b + Kc)\/a = (c + Ka)\/b = S<\/p>\n<p>\u00bfPara qu\u00e9 valores de K resulta que S puede tener un \u00fanico valor?<\/p>\n<p>\u00bfCu\u00e1l es ese valor de S (y c\u00f3mo depende de K)?<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2023\/11\/323.fracciones.png\" alt=\"\" width=\"300\" height=\"300\" class=\"alignnone size-full wp-image-3089\" srcset=\"https:\/\/blogs.ua.es\/dimates\/files\/2023\/11\/323.fracciones.png 300w, https:\/\/blogs.ua.es\/dimates\/files\/2023\/11\/323.fracciones-150x150.png 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><br \/>\nSoluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2023\/11\/18\/solucion-a-igualdad-de-fracciones\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 10 del concurso Olitele 2022 Se dirige a una edad de: 16-17 a\u00f1os Si a, b y c son tres n\u00fameros reales diferentes de cero que cumplen la siguiente igualdad: (a + b)\/c = (b + c)\/a = (c + a)\/b = R \u00bfQu\u00e9 valor o valores reales puede tener R? Si para un [&hellip;]<\/p>\n","protected":false},"author":4267,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1738,2242014,2849],"tags":[],"class_list":["post-3088","post","type-post","status-publish","format-standard","hentry","category-olimpiadas","category-olitele","category-problemas"],"_links":{"self":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3088","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/users\/4267"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/comments?post=3088"}],"version-history":[{"count":2,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3088\/revisions"}],"predecessor-version":[{"id":3093,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3088\/revisions\/3093"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=3088"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=3088"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=3088"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}