{"id":992,"date":"2014-02-24T15:17:38","date_gmt":"2014-02-24T20:17:38","guid":{"rendered":"http:\/\/laprofematematica.com\/blog\/?p=992"},"modified":"2015-06-11T20:42:56","modified_gmt":"2015-06-12T01:42:56","slug":"para-que-se-utilizan-las-fracciones-simples","status":"publish","type":"post","link":"https:\/\/laprofematematica.com\/blog\/para-que-se-utilizan-las-fracciones-simples\/","title":{"rendered":"Fracciones simples para que se utilizan?"},"content":{"rendered":"<h1>Para que se utilizan las Fracciones Simples? Para resolver Divisi\u00f3n de Polinomios<\/h1>\n<p style=\"text-align: justify;\">Cuando se tiene una divisi\u00f3n de Polinomios de la forma P(x)\/Q(x) se puede obtener la respuesta separando en <strong><em>fracciones simples<\/em>,<\/strong> proceso que consiste en encontrar los coeficientes que forman el numerador de las fracciones que conforman el resultado.<\/p>\n<p style=\"text-align: justify;\">Existen 6 casos dependiendo de los factores que forman el denominador. Dichos factores se pueden encontrar con cualquier m\u00e9todo de factorizaci\u00f3n. Los casos del 1 al 4 son para fracciones propias, es decir, el grado del polinomio denominador es mayor que el grado del polinomio numerador.<\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #ff0000;\"><strong><span style=\"text-decoration: underline;\">1er Caso:<\/span> <\/strong><\/span>Cada factor del denominador aparece una vez entonces le corresponde una fracci\u00f3n cuyo denominador es el factor y el numerador una constante. El alumno puede aprenderse cada caso de manera memoristica. Sin embargo lo importante es saber identificar la caracter\u00edstica principal de cada uno de ellos, como por ejemplo: un binomio.<\/p>\n<figure id=\"attachment_995\" aria-describedby=\"caption-attachment-995\" style=\"width: 440px\" class=\"wp-caption aligncenter\"><img fetchpriority=\"high\" decoding=\"async\" class=\"wp-image-995 size-full\" title=\"fracciones simples\" src=\"http:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2014\/02\/150x450-fraccionessimples1.jpg\" alt=\"fracciones simples 1\" width=\"450\" height=\"150\" srcset=\"https:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2014\/02\/150x450-fraccionessimples1.jpg 450w, https:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2014\/02\/150x450-fraccionessimples1-300x100.jpg 300w\" sizes=\"(max-width: 450px) 100vw, 450px\" \/><figcaption id=\"caption-attachment-995\" class=\"wp-caption-text\">fracciones simples caso 1<\/figcaption><\/figure>\n<p style=\"text-align: justify;\"><span style=\"color: #ff0000;\"><strong><span style=\"text-decoration: underline;\">2do Caso:<\/span><\/strong><\/span> Cada factor del denominador que aparezca mas de una vez le corresponde la suma de fracciones cuyo denominador es el factor elevado sucesivamente a exponentes desde 1 hasta k y el numerador es una constante. F\u00edjate que este caso es similar al anterior, con la diferencia de tener una potencia de una expresi\u00f3n.<\/p>\n<figure id=\"attachment_997\" aria-describedby=\"caption-attachment-997\" style=\"width: 440px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" class=\"wp-image-997 size-full\" title=\"fracciones simples \" src=\"http:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2014\/02\/150x450-fraccionessimples2.jpg\" alt=\"fracciones simples 2\" width=\"450\" height=\"150\" srcset=\"https:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2014\/02\/150x450-fraccionessimples2.jpg 450w, https:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2014\/02\/150x450-fraccionessimples2-300x100.jpg 300w\" sizes=\"(max-width: 450px) 100vw, 450px\" \/><figcaption id=\"caption-attachment-997\" class=\"wp-caption-text\">fracciones simples caso 2<\/figcaption><\/figure>\n<p style=\"text-align: justify;\"><span style=\"color: #ff0000;\"><strong><span style=\"text-decoration: underline;\">3er Caso:<\/span><\/strong><\/span> Cada factor del denominador de la forma ax<sup>2<\/sup>+bx+c que sea primo y aparezca una vez, le corresponde una fracci\u00f3n cuyo numerador es un binomio de la forma Ax+B y el denominador el trinomio.<\/p>\n<figure id=\"attachment_998\" aria-describedby=\"caption-attachment-998\" style=\"width: 440px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" class=\"wp-image-998 size-full\" title=\"fracciones simples \" src=\"http:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2014\/02\/150x450-fraccionessimples3.jpg\" alt=\"fracciones simples 3\" width=\"450\" height=\"150\" srcset=\"https:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2014\/02\/150x450-fraccionessimples3.jpg 450w, https:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2014\/02\/150x450-fraccionessimples3-300x100.jpg 300w\" sizes=\"(max-width: 450px) 100vw, 450px\" \/><figcaption id=\"caption-attachment-998\" class=\"wp-caption-text\">fracciones simples caso 3<\/figcaption><\/figure>\n<p style=\"text-align: justify;\"><strong><span style=\"text-decoration: underline; color: #ff0000;\">4to Caso:<\/span><\/strong> Cada factor del denominador de la forma ax<sup>2<\/sup>+bx+c, primo y que aparezca k veces, le corresponde la suma de fracciones cuyo numerador es un Binomio y el denominador el factor ax<sup>2<\/sup>+bx+c elevado sucesivamente a los exponentes desde 1 hasta k.<\/p>\n<figure id=\"attachment_999\" aria-describedby=\"caption-attachment-999\" style=\"width: 440px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-999 size-full\" title=\"fracciones simples \" src=\"http:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2014\/02\/150x450-fraccionessimples4.jpg\" alt=\"fracciones simples 4\" width=\"450\" height=\"150\" srcset=\"https:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2014\/02\/150x450-fraccionessimples4.jpg 450w, https:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2014\/02\/150x450-fraccionessimples4-300x100.jpg 300w\" sizes=\"(max-width: 450px) 100vw, 450px\" \/><figcaption id=\"caption-attachment-999\" class=\"wp-caption-text\">fracciones simples<\/figcaption><\/figure>\n<p style=\"text-align: justify;\"><span style=\"color: #ff0000;\"><strong><span style=\"text-decoration: underline;\">5to Caso:<\/span> <\/strong><\/span>La Fracci\u00f3n dada es impropia, entonces debe calcularse la divisi\u00f3n<\/p>\n<figure id=\"attachment_1000\" aria-describedby=\"caption-attachment-1000\" style=\"width: 440px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1000 size-full\" title=\"fracciones simples\" src=\"http:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2014\/02\/150x450-fraccionessimples5.jpg\" alt=\"fracciones simples 5\" width=\"450\" height=\"150\" srcset=\"https:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2014\/02\/150x450-fraccionessimples5.jpg 450w, https:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2014\/02\/150x450-fraccionessimples5-300x100.jpg 300w\" sizes=\"(max-width: 450px) 100vw, 450px\" \/><figcaption id=\"caption-attachment-1000\" class=\"wp-caption-text\">fracciones simples<\/figcaption><\/figure>\n<p style=\"text-align: justify;\">la fracci\u00f3n R(x)\/Q(x) es propia y podr\u00e1 utilizarse cualquier caso del 1 al 4<\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #ff0000;\"><strong>\u00a0<span style=\"text-decoration: underline;\">6to Caso:<\/span><\/strong><\/span> El factor del denominador es \u00fanico y repetido K veces, le corresponde fracciones cuyo numerador es el factor y se utiliza el m\u00e9todo de Horner.<\/p>\n<p style=\"text-align: justify;\">Estos son ejercicios que requieren que el alumno tenga la habilidad de desarrollar divisi\u00f3n de polinomios usando cualquiera de los m\u00e9todos, es un tema que se estudia en 5to a\u00f1o de bachillerato, as\u00ed que ya conoce todos los proceso para dividir, <a href=\"http:\/\/laprofematematica.com\/blog\/%c2%bfcomo-identificar-los-casos-de-factorizacion\/\" target=\"_blank\">factorizar<\/a>, entre otros.<\/p>\n<h2 style=\"text-align: center;\"><span style=\"color: #ff0000;\">Las fracciones simple es un tema que se utilizan luego en las integrales<\/span><\/h2>\n","protected":false},"excerpt":{"rendered":"<p>Para que se utilizan las Fracciones Simples? Para resolver Divisi\u00f3n de Polinomios Cuando se tiene una divisi\u00f3n de Polinomios de la forma P(x)\/Q(x) se puede obtener la respuesta separando en fracciones simples, proceso que consiste en encontrar los coeficientes que forman el numerador de las fracciones que conforman el resultado. Existen 6 casos dependiendo de &#8230; <a title=\"Fracciones simples para que se utilizan?\" class=\"read-more\" href=\"https:\/\/laprofematematica.com\/blog\/para-que-se-utilizan-las-fracciones-simples\/\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":1188,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[45],"tags":[150,151,149],"class_list":["post-992","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-matematica","tag-division-de-polinomios","tag-fracciones-simples","tag-polinomios-2"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Fracciones simples para que se utilizan? -<\/title>\n<meta name=\"description\" content=\"Fracciones Simples? 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