{"id":1631,"date":"2021-12-02T15:49:49","date_gmt":"2021-12-02T15:49:49","guid":{"rendered":"https:\/\/blogs.ugto.mx\/rea\/?p=1631"},"modified":"2024-01-15T15:17:24","modified_gmt":"2024-01-15T15:17:24","slug":"clase-digital-1-simplificacion-de-fracciones-algebraicas","status":"publish","type":"post","link":"https:\/\/blogs.ugto.mx\/rea\/clase-digital-1-simplificacion-de-fracciones-algebraicas\/","title":{"rendered":"Clase digital 1. Simplificaci\u00f3n de fracciones algebraicas"},"content":{"rendered":"\n\n\n<div class=\"wp-block-cover\" style=\"min-height:284px;aspect-ratio:unset;\"><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-40 has-background-dim\"><\/span><img decoding=\"async\" class=\"wp-block-cover__image-background wp-image-32733\" alt=\"\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2024\/01\/AlgebraIIBG_CD1.jpg\" style=\"object-position:53% 53%\" data-object-fit=\"cover\" data-object-position=\"53% 53%\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"640\" height=\"960\" class=\"wp-block-cover__image-background wp-image-32733\" alt=\"\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2024\/01\/AlgebraIIBG_CD1.jpg\" style=\"object-position:53% 53%\" data-object-fit=\"cover\" data-object-position=\"53% 53%\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2024\/01\/AlgebraIIBG_CD1.jpg 640w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2024\/01\/AlgebraIIBG_CD1-200x300.jpg 200w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/noscript><div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\n<p class=\"has-text-align-center has-base-3-color has-text-color has-large-font-size wp-block-paragraph\"><br>Simplificaci\u00f3n de fracciones algebraicas<\/p>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"introduccion\">Introducci\u00f3n<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Hola estimada (o) estudiante, te doy la m\u00e1s cordial bienvenida a este curso de \u00c1lgebra II que es parte imprescindible de tu plan de estudios necesario para tu formaci\u00f3n acad\u00e9mica. Debes saber que es un privilegio para mi el que tomes este curso por este medio, el cual, te ofrece una amplia posibilidad de aprendizaje. Deseo que este curso cumpla con tus expectativas.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">En este primer tema del bloque I titulado \u00abSimplificaci\u00f3n de fracciones algebraicas\u00bb. Iniciaremos la clase con el concepto de fracci\u00f3n algebraica y posteriormente su reducci\u00f3n de fracciones.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Una fracci\u00f3n algebraica es aquella que est\u00e1 conformada por dos expresiones algebraicas. As\u00ed <em>p \/ q<\/em>, es una fracci\u00f3n algebraica donde <em>p<\/em> es el numerador y <em>q<\/em> es el denominador diferente de cero.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Para fines del estudio de este tipo de expresiones, en esta gu\u00eda cuando escribamos fracciones algebraicas supondremos que sus denominadores no son nulos; es decir, que las literales que aparecen en el denominador no podr\u00e1n tomar valores que al sustituirse en una expresi\u00f3n hagan que su valor sea cero.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">De acuerdo con esto, te invito a conocer el tema.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"desarrollo-del-tema\">Desarrollo del tema <\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"reduccion-de-fracciones-algebraicas\">Reducci\u00f3n de fracciones algebraicas<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">La reducci\u00f3n de un n\u00famero racional (quebrado) se lleva a cabo dividiendo el numerador y el denominador entre el m\u00e1ximo com\u00fan divisor de ambos, esto com\u00fanmente, se maneja como sacar mitad, sacar tercera, etc.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ejemplos:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Se saca doceava porque el m\u00e1ximo com\u00fan divisor es 12.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-12-a-las-13.40.48.png\" alt=\"\" class=\"wp-image-1634\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"117\" height=\"99\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-12-a-las-13.40.48.png\" alt=\"\" class=\"wp-image-1634\" \/><\/noscript><\/figure>\n<\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>Se divide entre 17 porque el m\u00e1ximo com\u00fan divisor es 17.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-12-a-las-13.41.33.png\" alt=\"\" class=\"wp-image-1635\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"111\" height=\"101\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-12-a-las-13.41.33.png\" alt=\"\" class=\"wp-image-1635\" \/><\/noscript><\/figure>\n<\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>Se divide entre 23 porque el m\u00e1ximo com\u00fan divisor es 23.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-12-a-las-13.42.00.png\" alt=\"\" class=\"wp-image-1636\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"121\" height=\"95\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-12-a-las-13.42.00.png\" alt=\"\" class=\"wp-image-1636\" \/><\/noscript><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">En la reducci\u00f3n de fracciones algebraicas se presentan dos casos:&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Primer caso:<\/strong>&nbsp;Cuando el numerador y el denominador de una fracci\u00f3n algebraica son monomios, la reducci\u00f3n se realiza reduciendo los coeficientes y aplicando las propiedad es de exponentes en las literales.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-12-a-las-13.42.45.png\" alt=\"\" class=\"wp-image-1637\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"748\" height=\"486\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-12-a-las-13.42.45.png\" alt=\"\" class=\"wp-image-1637\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-12-a-las-13.42.45.png 748w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-12-a-las-13.42.45-300x195.png 300w\" sizes=\"auto, (max-width: 748px) 100vw, 748px\" \/><\/noscript><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\"><strong>Segundo caso:<\/strong>&nbsp;Cuando el numerador y el denominador de una fracci\u00f3n algebraica no son monomios se utilizan los m\u00e9todos de factorizaci\u00f3n.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-12-a-las-13.43.35.png\" alt=\"\" class=\"wp-image-1638\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"726\" height=\"625\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-12-a-las-13.43.35.png\" alt=\"\" class=\"wp-image-1638\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-12-a-las-13.43.35.png 726w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-12-a-las-13.43.35-300x258.png 300w\" sizes=\"auto, (max-width: 726px) 100vw, 726px\" \/><\/noscript><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-12-a-las-13.43.53.png\" alt=\"\" class=\"wp-image-1639\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"590\" height=\"211\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-12-a-las-13.43.53.png\" alt=\"\" class=\"wp-image-1639\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-12-a-las-13.43.53.png 590w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-12-a-las-13.43.53-300x107.png 300w\" sizes=\"auto, (max-width: 590px) 100vw, 590px\" \/><\/noscript><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">Ahora, te invito a analizar los siguientes videos en donde se explica a detalle c\u00f3mo simplificar fracciones algebraicas.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/es.khanacademy.org\/math\/algebra2\/x2ec2f6f830c9fb89:rational\/x2ec2f6f830c9fb89:cancel-common-factor\/v\/simplifying-rational-expressions-w-common-monomial-factors\" target=\"_blank\" rel=\"noreferrer noopener nofollow\">Simplificar expresiones racionales: factores monomiales&nbsp;comunes<\/a>.<\/li>\n\n\n\n<li><a href=\"https:\/\/es.khanacademy.org\/math\/algebra2\/x2ec2f6f830c9fb89:rational\/x2ec2f6f830c9fb89:cancel-common-factor\/v\/simplifying-rational-expressions-1\" target=\"_blank\" rel=\"noreferrer noopener nofollow\">Simplificar expresiones racionales: factores binomiales comunes<\/a>.<\/li>\n\n\n\n<li><a href=\"https:\/\/es.khanacademy.org\/math\/algebra2\/x2ec2f6f830c9fb89:rational\/x2ec2f6f830c9fb89:cancel-common-factor\/v\/simplifying-rational-expressions-2\" target=\"_blank\" rel=\"noreferrer noopener nofollow\">Simplificar expresiones racionales: agrupaci\u00f3n<\/a>.&nbsp;<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"conclusion\">Conclusi\u00f3n<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Es importante se\u00f1alar que dos fracciones algebraicas son equivalentes, si tienen el mismo valor cuando se asignan valores espec\u00edficos a sus n\u00fameros literales.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Una fracci\u00f3n algebraica est\u00e1 expresada en t\u00e9rminos m\u00ednimos, o simplificada, cuando el numerador y el denominador no poseen factor com\u00fan, excepto el 1 o el -1.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Hemos llegado al final de la primera clase. \u00bfte pareci\u00f3 interesante? Yo espero que s\u00ed. Te comento que para dar plena conclusi\u00f3n a la clase realices la tarea asignada y la mandes como corresponde. Te espero en la siguiente sesi\u00f3n, hasta entonces.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"fuentes-de-informacion\">Fuentes de informaci\u00f3n<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Aguilar, A. (2009). Matem\u00e1ticas Simplificadas. (2a ed.). M\u00e9xico: Pearson. Cap. 5, pp. 332-334.<\/li>\n\n\n\n<li>Gobran, A. (1990). \u00c1lgebra Elemental. M\u00e9xico: Grupo Editorial Iberoam\u00e9rica. Cap. 7, pp. 227-234.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Introducci\u00f3n Hola estimada (o) estudiante, te doy la m\u00e1s cordial bienvenida a este curso de \u00c1lgebra II que es parte imprescindible de tu plan de estudios necesario para tu formaci\u00f3n acad\u00e9mica. Debes saber que es un privilegio para mi el que tomes este curso por este medio, el cual, te ofrece una amplia posibilidad de &#8230; <a title=\"Clase digital 1. Simplificaci\u00f3n de fracciones algebraicas\" class=\"read-more\" href=\"https:\/\/blogs.ugto.mx\/rea\/clase-digital-1-simplificacion-de-fracciones-algebraicas\/\" aria-label=\"Leer m\u00e1s sobre Clase digital 1. Simplificaci\u00f3n de fracciones algebraicas\">Leer m\u00e1s<\/a><\/p>\n","protected":false},"author":142,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_crdt_document":"","episode_type":"","audio_file":"","podmotor_file_id":"","podmotor_episode_id":"","cover_image":"","cover_image_id":"","duration":"","filesize":"","filesize_raw":"","date_recorded":"","explicit":"","block":"","itunes_episode_number":"","itunes_title":"","itunes_season_number":"","itunes_episode_type":"","footnotes":""},"categories":[83,84],"tags":[41,85,86],"class_list":["post-1631","post","type-post","status-publish","format-standard","hentry","category-bachillerato-general","category-algebra-ii","tag-clase-digital","tag-neba04002","tag-sandra-patricia-arriaga-martinez"],"acf":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/posts\/1631","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/users\/142"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/comments?post=1631"}],"version-history":[{"count":9,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/posts\/1631\/revisions"}],"predecessor-version":[{"id":32995,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/posts\/1631\/revisions\/32995"}],"wp:attachment":[{"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/media?parent=1631"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/categories?post=1631"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/tags?post=1631"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}