{"id":950,"date":"2022-05-25T14:09:03","date_gmt":"2022-05-25T14:09:03","guid":{"rendered":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/?p=950"},"modified":"2022-05-25T14:09:04","modified_gmt":"2022-05-25T14:09:04","slug":"clase-digital-2-operaciones-basicas-con-fracciones-leyes-conmutativa-asociativa-y-distributiva-razonamiento-matematico","status":"publish","type":"post","link":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/clase-digital-2-operaciones-basicas-con-fracciones-leyes-conmutativa-asociativa-y-distributiva-razonamiento-matematico\/","title":{"rendered":"Clase digital 2. Operaciones b\u00e1sicas con fracciones &#8211; Leyes conmutativa, asociativa y distributiva &#8211; Razonamiento matem\u00e1tico"},"content":{"rendered":"\n\n\n<div class=\"wp-block-cover is-light\" style=\"min-height:284px;aspect-ratio:unset;\"><span aria-hidden=\"true\" class=\"has-background-dim-40 wp-block-cover__gradient-background has-background-dim\"><\/span><img decoding=\"async\" class=\"wp-block-cover__image-background wp-image-951\" alt=\"black retractable pen on white printer paper\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/zsl306fdck.jpg\" style=\"object-position:71% 72%\" data-object-fit=\"cover\" data-object-position=\"71% 72%\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1600\" height=\"1067\" class=\"wp-block-cover__image-background wp-image-951\" alt=\"black retractable pen on white printer paper\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/zsl306fdck.jpg\" style=\"object-position:71% 72%\" data-object-fit=\"cover\" data-object-position=\"71% 72%\" srcset=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/zsl306fdck.jpg 1600w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/zsl306fdck-300x200.jpg 300w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/zsl306fdck-1024x683.jpg 1024w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/zsl306fdck-768x512.jpg 768w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/zsl306fdck-1536x1024.jpg 1536w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/zsl306fdck-272x182.jpg 272w\" sizes=\"auto, (max-width: 1600px) 100vw, 1600px\" \/><\/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\">Operaciones b\u00e1sicas con fracciones &#8211; Leyes conmutativa, asociativa y distributiva &#8211; Razonamiento matem\u00e1tico<\/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\">\u00a1Hola! Nuevamente me da gusto saludarte, te comparto que en esta segunda clase revisaremos el tema de las operaciones b\u00e1sicas con fracciones que, como vimos en la clase anterior, son elementos que forman parte del subconjunto de los n\u00fameros racionales y a su vez estos n\u00fameros, pertenecen al conjunto de los n\u00fameros reales.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">En esta sesi\u00f3n daremos \u00e9nfasis en el estudio de la asociaci\u00f3n de n\u00fameros mediante las leyes conmutativa, asociativa y distributiva. Asimismo, resolveremos una serie de ejercicios tomados de situaciones reales o ficticias, en los que se pueda encontrar una soluci\u00f3n, o deducir un resultado.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ahora que ya tienes una visi\u00f3n general del tema que abordaremos en esta clase, demos inicio a ella, esperando que sea de mucho aprendizaje para ti y que a su vez lo puedas aplicar en tu vida diaria. Sigamos con todo el entusiasmo que hemos puesto desde el inicio de este m\u00f3dulo, que es primordial para el desarrollo de tus habilidades l\u00f3gico &#8211; matem\u00e1ticas.<\/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\">\u00bfQu\u00e9 es una fracci\u00f3n?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">En el mundo de las matem\u00e1ticas, la fracci\u00f3n expresa una cantidad determinada de porciones que se toman de un todo dividido en partes iguales; se representa con una barra oblicua u horizontal que separa la primera cantidad (el numerador) de la segunda (el denominador). Con informaci\u00f3n de conceptos b\u00e1sicos de fracciones.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Fraccion.png\" alt=\"\" class=\"wp-image-953\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"342\" height=\"143\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Fraccion.png\" alt=\"\" class=\"wp-image-953\" srcset=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Fraccion.png 342w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Fraccion-300x125.png 300w\" sizes=\"auto, (max-width: 342px) 100vw, 342px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Las fracciones se pueden clasificar en: propias, impropias y mixtas. Para tener una visi\u00f3n m\u00e1s amplia de la clasificaci\u00f3n, te recomendamos ingresar al siguiente link:<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Clasificaci\u00f3n de fracciones\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/Eb7qMr6IovQ?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">M\u00ednimo com\u00fan m\u00faltiplo<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">El m\u00ednimo com\u00fan m\u00faltiplo (mcm) de dos o m\u00e1s n\u00fameros es el m\u00e1s peque\u00f1o de todos los m\u00faltiplos comunes.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u00bfC\u00f3mo se calcula?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Para calcularlo, se emplean reglas de divisibilidad utilizando los n\u00fameros primos (n\u00fameros que son divisibles entre s\u00ed y entre 1), hasta obtener al final del c\u00e1lculo 1.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Es importante mencionar que el conjunto de los n\u00fameros primos es infinito debido a que existen una gran cantidad de ellos. En la siguiente tabla se muestran los primeros n\u00fameros primos ordenados de menor a mayor (en color morado).<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><strong>N\u00fameros primos<\/strong><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Numeros-primos.png\" alt=\"\" class=\"wp-image-954\" width=\"783\" height=\"163\" \/><noscript><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Numeros-primos.png\" alt=\"\" class=\"wp-image-954\" width=\"783\" height=\"163\" srcset=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Numeros-primos.png 582w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Numeros-primos-300x62.png 300w\" sizes=\"auto, (max-width: 783px) 100vw, 783px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Ejemplo<\/strong>: Calcula el m.c.m. de los n\u00fameros 42 y 18.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Soluci\u00f3n<\/strong>: <\/p>\n\n\n\n<div class=\"wp-block-columns are-vertically-aligned-top is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-top is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>a)<\/strong> Observar que los n\u00fameros 42 y 18 son divisibles entre 2, por lo tanto, se dividen entre 2.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Paso-1.png\" alt=\"\" class=\"wp-image-956\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"232\" height=\"114\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Paso-1.png\" alt=\"\" class=\"wp-image-956\" \/><\/noscript><\/figure><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-top is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>b) <\/strong>De la divisi\u00f3n obtenida en el paso anterior, se obtuvieron los n\u00fameros 21 y 9, \u00e9stos ya no son divisibles entre 2, por lo cual, se dividen entre el siguiente n\u00famero primo que es 3.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Division-del-numero-primo-que-es-3.png\" alt=\"\" class=\"wp-image-957\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"248\" height=\"134\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Division-del-numero-primo-que-es-3.png\" alt=\"\" class=\"wp-image-957\" \/><\/noscript><\/figure><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-top is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-left has-medium-font-size wp-block-paragraph\"><strong>c) <\/strong>De la divisi\u00f3n obtenida en el paso anterior, se obtuvieron los n\u00fameros 7 y 3, el 7 no es divisible entre 3 y se pasa igual; el 3 si es divisible, por lo tanto, se realiza la divisi\u00f3n.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Paso-3.png\" alt=\"\" class=\"wp-image-958\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"210\" height=\"147\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Paso-3.png\" alt=\"\" class=\"wp-image-958\" \/><\/noscript><\/figure><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-top is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>d)<\/strong> De la divisi\u00f3n obtenida en el paso anterior se obtuvieron los n\u00fameros 7 y 1, el siete ya no es divisible entre 3, por lo cual, se divide entre el siguiente n\u00famero primo que es 7. Y el n\u00famero 1 se escribe igual.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Paso-d.png\" alt=\"\" class=\"wp-image-959\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"248\" height=\"194\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Paso-d.png\" alt=\"\" class=\"wp-image-959\" \/><\/noscript><\/figure><\/div>\n<\/div>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\">Suma y resta de fracciones con igual denominador<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Se suman o restan los numeradores (dependiendo de la operaci\u00f3n) y los denominadores se pasan igual hasta simplificar a su m\u00ednima expresi\u00f3n.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Ejemplo-de-suma-y-resta-de-fracciones.png\" alt=\"\" class=\"wp-image-963\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"394\" height=\"90\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Ejemplo-de-suma-y-resta-de-fracciones.png\" alt=\"\" class=\"wp-image-963\" srcset=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Ejemplo-de-suma-y-resta-de-fracciones.png 394w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Ejemplo-de-suma-y-resta-de-fracciones-300x69.png 300w\" sizes=\"auto, (max-width: 394px) 100vw, 394px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">Suma y resta de fracciones con diferente denominador<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Para realizar suma y resta de fracciones con diferente denominador, es necesario realizar los siguientes pasos:<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>Obtener el m\u00ednimo com\u00fan m\u00faltiplo (mcm) de los denominadores.<\/li><li>Dividir el denominador de cada fracci\u00f3n entre el mcm.<\/li><li>El resultado del paso anterior se multiplica por el numerador.<\/li><li>Se realizan las sumas y restas respectivas.<\/li><li>Simplificar a su m\u00ednima expresi\u00f3n.<\/li><\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Ejemplo<\/strong>: Realiza la suma<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Suma-de-fracciones-con-diferente-denominador.png\" alt=\"\" class=\"wp-image-964\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"216\" height=\"67\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Suma-de-fracciones-con-diferente-denominador.png\" alt=\"\" class=\"wp-image-964\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Soluci\u00f3n:<\/strong><\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>a)<\/strong> Determinar el mcm de los denominadores.<\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\"><strong>mcm de 18,6 y 9 = 18<\/strong><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>b) <\/strong>Dividir el mcm entre el denominador de cada fracci\u00f3n.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Dividir-el-mcm-entre-el-denominador-de-cada-fraccion.png\" alt=\"\" class=\"wp-image-965\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"256\" height=\"193\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Dividir-el-mcm-entre-el-denominador-de-cada-fraccion.png\" alt=\"\" class=\"wp-image-965\" \/><\/noscript><\/figure><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>c)<\/strong> El resultado del paso anterior se multiplica por el numerador correspondiente.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/El-resultado-del-paso-anterior-se-multiplica-por-el-numerador-correspondiente.png\" alt=\"\" class=\"wp-image-966\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"201\" height=\"123\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/El-resultado-del-paso-anterior-se-multiplica-por-el-numerador-correspondiente.png\" alt=\"\" class=\"wp-image-966\" \/><\/noscript><\/figure><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>d)<\/strong> Realiza las sumas o restas seg\u00fan corresponda.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Realizar-las-sumas-o-restas-segun-correspondan.png\" alt=\"\" class=\"wp-image-967\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"55\" height=\"54\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Realizar-las-sumas-o-restas-segun-correspondan.png\" alt=\"\" class=\"wp-image-967\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>e)<\/strong> Simplificar a su m\u00ednima expresi\u00f3n.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Simplificar-a-su-minima-expresion.png\" alt=\"\" class=\"wp-image-968\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"138\" height=\"52\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Simplificar-a-su-minima-expresion.png\" alt=\"\" class=\"wp-image-968\" \/><\/noscript><\/figure><\/div>\n<\/div>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\">Multiplicaci\u00f3n de fracciones<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Para realizar la multiplicaci\u00f3n de fracciones, se multiplican de manera lineal, numerador por numerador y denominador por denominador; y al final, simplificar a su m\u00ednima expresi\u00f3n cuando sea posible.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Ejemplo<\/strong>: Realiza la siguiente multiplicaci\u00f3n<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Multiplicacion.png\" alt=\"\" class=\"wp-image-969\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"225\" height=\"70\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Multiplicacion.png\" alt=\"\" class=\"wp-image-969\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Soluci\u00f3n:<\/strong><\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>a) <\/strong>Multiplicar los numeradores y dividir entre el producto de los denominadores.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Multiplicar-los-numeradores-y-dividir-entre-el-producto-de-los-denominadores.png\" alt=\"\" class=\"wp-image-971\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"185\" height=\"51\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Multiplicar-los-numeradores-y-dividir-entre-el-producto-de-los-denominadores.png\" alt=\"\" class=\"wp-image-971\" \/><\/noscript><\/figure><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>b)<\/strong> Simplificar a su m\u00ednima expresi\u00f3n (utilizando las reglas de divisibilidad), tanto el 15 como el 60 son divisibles entre 3.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Simplificar-a-su-minima.png\" alt=\"\" class=\"wp-image-972\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"196\" height=\"156\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Simplificar-a-su-minima.png\" alt=\"\" class=\"wp-image-972\" \/><\/noscript><\/figure><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>c) <\/strong>Se puede simplificar a\u00fan m\u00e1s dividiendo tanto el numerador como denominador entre 5.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Se-puede-simplificar.png\" alt=\"\" class=\"wp-image-974\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"72\" height=\"88\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Se-puede-simplificar.png\" alt=\"\" class=\"wp-image-974\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>d)<\/strong> Resultado<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Resultado.png\" alt=\"\" class=\"wp-image-976\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"159\" height=\"51\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Resultado.png\" alt=\"\" class=\"wp-image-976\" \/><\/noscript><\/figure><\/div>\n<\/div>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\">Divisi\u00f3n de fracciones<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Para realizar la divisi\u00f3n de fracciones, se multiplican numeradores y denominadores en forma cruzada. Al final, se simplifican a su m\u00ednima expresi\u00f3n.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Division-de-fracciones.png\" alt=\"\" class=\"wp-image-977\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"352\" height=\"77\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Division-de-fracciones.png\" alt=\"\" class=\"wp-image-977\" srcset=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Division-de-fracciones.png 352w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Division-de-fracciones-300x66.png 300w\" sizes=\"auto, (max-width: 352px) 100vw, 352px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Soluci\u00f3n<\/strong>:<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>a)<\/strong> Multiplicar los numeradores y denominadores en forma cruzada.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Multiplicar-los-numeradores-y-denominadores-en-forma-cruzada.png\" alt=\"\" class=\"wp-image-978\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"142\" height=\"53\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Multiplicar-los-numeradores-y-denominadores-en-forma-cruzada.png\" alt=\"\" class=\"wp-image-978\" \/><\/noscript><\/figure><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>b)<\/strong> Simplificar a su m\u00ednima expresi\u00f3n.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Ya-no-es-posible-simplificar.png\" alt=\"\" class=\"wp-image-979\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"128\" height=\"58\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Ya-no-es-posible-simplificar.png\" alt=\"\" class=\"wp-image-979\" \/><\/noscript><\/figure><\/div>\n<\/div>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Ejemplo:<\/strong><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-8.43.45.png\" alt=\"\" class=\"wp-image-981\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"78\" height=\"52\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-8.43.45.png\" alt=\"\" class=\"wp-image-981\" \/><\/noscript><\/figure><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\">a) Multiplicar los numeradores y denominadores en forma cruzada. El 3 se convierte en forma de fracci\u00f3n, por lo cual, se le agrega un 1 al denominador.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-8.45.21.png\" alt=\"\" class=\"wp-image-982\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"236\" height=\"104\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-8.45.21.png\" alt=\"\" class=\"wp-image-982\" \/><\/noscript><\/figure><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"wp-block-paragraph\">b) Simplificar a su m\u00ednimo expresi\u00f3n.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-8.46.14.png\" alt=\"\" class=\"wp-image-983\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"63\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-8.46.14.png\" alt=\"\" class=\"wp-image-983\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Ya no es posible simplificar.<\/p>\n<\/div>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Ya hemos revisado las operaciones b\u00e1sicas con n\u00fameros enteros (clase digital 1) y n\u00fameros fraccionarios, a lo largo de esta clase. Por lo que es importante aplicar dichas operaciones en problemas que se te puedan presentar en tu vida cotidiana.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Ejemplo<\/strong>:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-8.48.07.png\" alt=\"\" class=\"wp-image-984\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1022\" height=\"101\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-8.48.07.png\" alt=\"\" class=\"wp-image-984\" srcset=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-8.48.07.png 1022w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-8.48.07-300x30.png 300w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-8.48.07-768x76.png 768w\" sizes=\"auto, (max-width: 1022px) 100vw, 1022px\" \/><\/noscript><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Soluci\u00f3n<\/strong>:<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>a)<\/strong> Se suman los kilogramos de todos los ingredientes:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-8.49.10.png\" alt=\"\" class=\"wp-image-985\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"196\" height=\"67\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-8.49.10.png\" alt=\"\" class=\"wp-image-985\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>c) <\/strong>Se aplica la suma de fracciones con diferente denominador:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-8.50.48.png\" alt=\"\" class=\"wp-image-987\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"534\" height=\"70\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-8.50.48.png\" alt=\"\" class=\"wp-image-987\" srcset=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-8.50.48.png 534w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-8.50.48-300x39.png 300w\" sizes=\"auto, (max-width: 534px) 100vw, 534px\" \/><\/noscript><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>b)<\/strong> Se convierten los n\u00fameros enteros en fracciones:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-8.50.03.png\" alt=\"\" class=\"wp-image-986\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"197\" height=\"66\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-8.50.03.png\" alt=\"\" class=\"wp-image-986\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>d) <\/strong>Por lo tanto, los ingredientes pesan:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-8.52.46.png\" alt=\"\" class=\"wp-image-988\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"151\" height=\"55\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-8.52.46.png\" alt=\"\" class=\"wp-image-988\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\"> <\/p>\n<\/div>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">En el siguiente link podr\u00e1s encontrar otro ejercicio resuelto para que puedas comprender este tema, te sugiero que lo consultes:<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Soluci\u00f3n de problemas con fracciones | Ejemplo 7\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/FxxUJ_pfAvE?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Leyes de los n\u00fameros reales<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Una vez que hemos revisado las operaciones para n\u00fameros enteros y n\u00fameros fraccionarios, es conveniente que sepas, que existen una serie de propiedades que se aplican a \u00e9stos y pueden consultarlas en la siguiente tabla.<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\"><strong>Ley Conmutativa<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\">El orden de los n\u00fameros no alteran el resultado.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\"><strong>Suma<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\">2 + 3 = 5<br>3 + 2 = 5<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\"><strong>Multiplicaci\u00f3n<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\">(2)(3) = 6<br>(3)(2) = 6<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\"><strong>Ley Asociativa<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\">Los n\u00fameros pueden agruparse de diferente manera y siempre se obtiene el mismo resultado.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\"><strong>Suma<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\">2 + (3 + 2) = 7<br>(2 + 3) + 2 = 7<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\"><strong>Multiplicaci\u00f3n<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\">2 \u00b7 (3\u00b75) = 30<br>(2\u00b73)\u00b75 = 30<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-left has-medium-font-size wp-block-paragraph\"><strong>Ley Distributiva<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\">El producto de un n\u00famero por una suma es igual a la suma de los productos:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-9.04.15.png\" alt=\"\" class=\"wp-image-989\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"275\" height=\"135\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-9.04.15.png\" alt=\"\" class=\"wp-image-989\" srcset=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-9.04.15.png 275w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-9.04.15-272x135.png 272w\" sizes=\"auto, (max-width: 275px) 100vw, 275px\" \/><\/noscript><\/figure><\/div>\n<\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"desarrollo-del-tema\">Conclusi\u00f3n<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">En esta clase hemos revisado las cuatro operaciones b\u00e1sicas para los n\u00fameros racionales. Es importante mencionar que un n\u00famero fraccionario es un n\u00famero racional, el cual consta de numerador y denominador. Para sumar o restar dos o m\u00e1s fracciones con diferente denominador es necesario obtener el m\u00ednimo com\u00fan m\u00faltiplo, aplicando el procedimiento necesario.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Las propiedades que existen en los n\u00fameros reales son indispensables tanto por la ordenaci\u00f3n de los n\u00fameros, as\u00ed como para poder dar soluciones a los problemas matem\u00e1ticos que se puedan dificultar, por lo que podemos observar y comprender mejor, c\u00f3mo obtener soluciones y c\u00f3mo es su representaci\u00f3n.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Con esta clase damos por finalizada la parte de aritm\u00e9tica que es la parte fundamental en el estudio de los n\u00fameros y las operaciones que se efect\u00faan entre ellos, las cuales son las herramientas necesarias para la siguiente clase digital.<\/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\"><li><a href=\"https:\/\/www.youtube.com\/watch?v=yYqeyCLYSXc\" target=\"_blank\" rel=\"noreferrer noopener\">Suma 3 fracciones M\u00ednimo Com\u00fan M\u00faltiplo \u00a1MUY F\u00c1CIL!<\/a><\/li><li><a href=\"https:\/\/www.youtube.com\/watch?v=YGXURDXHfGI\" target=\"_blank\" rel=\"noreferrer noopener\">Multiplicaci\u00f3n y divisi\u00f3n de fracciones<\/a><\/li><li><a href=\"https:\/\/www.disfrutalasmatematicas.com\/asociativa-conmutativa-distributiva.html\" target=\"_blank\" rel=\"noreferrer noopener\">Leyes asociativa, conmutativa y distributiva<\/a><\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Introducci\u00f3n \u00a1Hola! Nuevamente me da gusto saludarte, te comparto que en esta segunda clase revisaremos el tema de las operaciones b\u00e1sicas con fracciones que, como vimos en la clase anterior, son elementos que forman parte del subconjunto de los n\u00fameros racionales y a su vez estos n\u00fameros, pertenecen al conjunto de los n\u00fameros reales. En &#8230; <a title=\"Clase digital 2. Operaciones b\u00e1sicas con fracciones &#8211; Leyes conmutativa, asociativa y distributiva &#8211; Razonamiento matem\u00e1tico\" class=\"read-more\" href=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/clase-digital-2-operaciones-basicas-con-fracciones-leyes-conmutativa-asociativa-y-distributiva-razonamiento-matematico\/\" aria-label=\"Leer m\u00e1s sobre Clase digital 2. Operaciones b\u00e1sicas con fracciones &#8211; Leyes conmutativa, asociativa y distributiva &#8211; Razonamiento matem\u00e1tico\">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":[20,29],"tags":[30,4,31],"class_list":["post-950","post","type-post","status-publish","format-standard","hentry","category-bloque-3","category-matematicas-i","tag-beatriz-rubio-campos","tag-clase-digital","tag-neba04"],"acf":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-json\/wp\/v2\/posts\/950","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-json\/wp\/v2\/users\/142"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-json\/wp\/v2\/comments?post=950"}],"version-history":[{"count":9,"href":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-json\/wp\/v2\/posts\/950\/revisions"}],"predecessor-version":[{"id":990,"href":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-json\/wp\/v2\/posts\/950\/revisions\/990"}],"wp:attachment":[{"href":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-json\/wp\/v2\/media?parent=950"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-json\/wp\/v2\/categories?post=950"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-json\/wp\/v2\/tags?post=950"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}