{"id":17647,"date":"2020-10-20T10:05:30","date_gmt":"2020-10-20T13:05:30","guid":{"rendered":"http:\/\/elbibliote.com\/resources\/articulosdestacados\/?p=17647"},"modified":"2020-10-20T10:05:30","modified_gmt":"2020-10-20T13:05:30","slug":"numeros-mixtos","status":"publish","type":"post","link":"https:\/\/elbibliote.com\/resources\/articulosdestacados\/?p=17647","title":{"rendered":"N\u00fameros mixtos"},"content":{"rendered":"<p style=\"text-align: justify;\"><span style=\"color: #808080;\"><em><span style=\"color: #808080;\">Las fracciones representan una parte de un todo, as\u00ed que son \u00fatiles para expresar, por ejemplo, la cantidad de trozos de pizza que nos comimos. Cuando el numerador es mayor que el denominador\u00a0se dicen que son impropias y se pueden expresar como un n\u00famero mixto: una combinaci\u00f3n de un n\u00famero natural con una fracci\u00f3n propia.<\/span><\/em><\/span><\/p>\n<h2>recordemos las fracciones<\/h2>\n<p style=\"text-align: justify;\">Una fracci\u00f3n es una divisi\u00f3n de un entero en partes iguales. Est\u00e1 formada por un\u00a0<strong>numerador<\/strong> y un\u00a0<strong>denominador<\/strong>.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-17655 aligncenter\" src=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/f2-1.png\" alt=\"\" width=\"395\" height=\"185\" srcset=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/f2-1.png 395w, https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/f2-1-300x141.png 300w\" sizes=\"(max-width: 395px) 100vw, 395px\" \/><\/p>\n<ul>\n<li>El<strong> numerador<\/strong> es el n\u00famero de partes que se ha tomado del total.<\/li>\n<li>El<strong> denominador<\/strong> es el n\u00famero de partes en las que se dividi\u00f3 la unidad.<\/li>\n<\/ul>\n<figure id=\"attachment_17659\" aria-describedby=\"caption-attachment-17659\" style=\"width: 1080px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-17659 size-full\" src=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/iStock-1173212980.jpg\" alt=\"\" width=\"1080\" height=\"721\" srcset=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/iStock-1173212980.jpg 1080w, https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/iStock-1173212980-300x200.jpg 300w, https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/iStock-1173212980-768x513.jpg 768w, https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/iStock-1173212980-1024x684.jpg 1024w\" sizes=\"(max-width: 1080px) 100vw, 1080px\" \/><figcaption id=\"caption-attachment-17659\" class=\"wp-caption-text\">Las fracciones propias son aquellas cuyo numerador es menor que el denominador, mientras que las fracciones impropias tienen su numerador mayor al denominador.<\/figcaption><\/figure>\n<h2>\u00bfqu\u00e9 son los n\u00fameros mixtos?<\/h2>\n<p style=\"text-align: justify;\">Los n\u00fameros mixtos, tambi\u00e9n conocidos como fracciones mixtas, est\u00e1n formados por un n\u00famero natural (<strong>parte entera<\/strong>) y una fracci\u00f3n propia (<strong>parte fraccionaria<\/strong>).<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-17679 aligncenter\" src=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/g4.png\" alt=\"\" width=\"360\" height=\"100\" srcset=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/g4.png 360w, https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/g4-300x83.png 300w\" sizes=\"(max-width: 360px) 100vw, 360px\" \/><\/p>\n<p style=\"text-align: justify;\">Los n\u00fameros mixtos son otra forma de representar<strong> fracciones impropias<\/strong>, las cuales siempre son mayores que la unidad.<\/p>\n<div class=\"su-note destacado\"  style=\"border-color:#c1c1d0;\"><div class=\"su-note-inner su-u-clearfix su-u-trim\" style=\"background-color:#DBDBEA;border-color:#ffffff;color:#333333;\">\n<p><strong>Gr\u00e1ficas de fracciones impropias<\/strong><\/p>\n<p>Son una manera visual de ver las fracciones. Para realizar estas representaciones gr\u00e1ficas basta con dividir una figura en tantas partes como indique el denominador. Luego repetimos esta figura hasta poder colorear la cantidad de partes que se\u00f1ala el numerador.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-17718 aligncenter\" src=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/a5-1.png\" alt=\"\" width=\"440\" height=\"130\" srcset=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/a5-1.png 440w, https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/a5-1-300x89.png 300w\" sizes=\"(max-width: 440px) 100vw, 440px\" \/><\/p>\n<\/div><\/div>\n<p><strong>&#8211; Ejemplos:<\/strong><\/p>\n<ul>\n<li><img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?\\boldsymbol{\\frac{5}{3}}=\" alt=\"\\boldsymbol{\\frac{5}{3}}=\" align=\"absmiddle\" \/><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-17672\" src=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/g1.png\" alt=\"\" width=\"256\" height=\"129\" \/><img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?=\\boldsymbol{1\\frac{2}{3}}\" alt=\"=\\boldsymbol{1\\frac{2}{3}}\" align=\"absmiddle\" \/><\/li>\n<li><img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?\\boldsymbol{\\frac{11}{5}}=\" alt=\"\\boldsymbol{\\frac{11}{5}}=\" align=\"absmiddle\" \/><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-17673\" src=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/g2.png\" alt=\"\" width=\"381\" height=\"125\" srcset=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/g2.png 381w, https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/g2-300x98.png 300w\" sizes=\"(max-width: 381px) 100vw, 381px\" \/><img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?=\\boldsymbol{2\\frac{1}{5}}\" alt=\"=\\boldsymbol{2\\frac{1}{5}}\" align=\"absmiddle\" \/><\/li>\n<li><img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?\\boldsymbol{\\frac{10}{4}}=\" alt=\"\\boldsymbol{\\frac{10}{4}}=\" align=\"absmiddle\" \/><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-17674\" src=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/g3.png\" alt=\"\" width=\"383\" height=\"127\" srcset=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/g3.png 383w, https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/g3-300x99.png 300w\" sizes=\"(max-width: 383px) 100vw, 383px\" \/><img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?=\\boldsymbol{2\\frac{2}{4}}\" alt=\"=\\boldsymbol{2\\frac{2}{4}}\" align=\"absmiddle\" \/><\/li>\n<\/ul>\n<p style=\"text-align: justify;\">Observa que la cantidad de partes enteras de las gr\u00e1ficas es igual al valor de la parte entera del n\u00famero mixto, mientras que la \u00faltima gr\u00e1fica determina la parte fraccionaria. As\u00ed que el n\u00famero mixto resulta de <strong>sumar un entero y una fracci\u00f3n propia.<\/strong><\/p>\n<h2>\u00bfC\u00f3mo transformar una fracci\u00f3n impropia a un n\u00famero mixto?<\/h2>\n<p style=\"text-align: justify;\">Lo primero que debemos hacer es dividir el numerador entre el denominador de la fracci\u00f3n, <strong>el cociente ser\u00e1 igual a la parte entera<\/strong>, mientras que <strong>el resto ser\u00e1 igual al numerador de la parte fraccionaria<\/strong> y el <strong>denominador ser\u00e1 igual al de la fracci\u00f3n impropia inicial.<\/strong><\/p>\n<p><strong>&#8211; Ejemplo:<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-17693 aligncenter\" src=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/f4-1.png\" alt=\"\" width=\"348\" height=\"124\" srcset=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/f4-1.png 348w, https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/f4-1-300x107.png 300w\" sizes=\"(max-width: 348px) 100vw, 348px\" \/><\/p>\n<p><strong>&#8211; Otros ejemplos:<\/strong><\/p>\n<table style=\"width: 619px;\">\n<tbody>\n<tr>\n<td style=\"background-color: #ffffff; width: 138.5px; text-align: center; vertical-align: middle;\"><strong>Fracci\u00f3n impropia<\/strong><\/td>\n<td style=\"background-color: #ffffff; width: 10px; text-align: center; vertical-align: middle;\"><\/td>\n<td style=\"background-color: #ffffff; width: 284px; text-align: center; vertical-align: middle;\"><strong>Divisi\u00f3n<\/strong><\/td>\n<td style=\"background-color: #ffffff; width: 10px; text-align: center; vertical-align: middle;\"><\/td>\n<td style=\"background-color: #ffffff; width: 133px; text-align: center; vertical-align: middle;\"><strong>N\u00famero mixto<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"background-color: #ffffff; width: 138.5px; text-align: center; vertical-align: middle;\"><img decoding=\"async\" class=\"aligncenter\" src=\"http:\/\/latex.codecogs.com\/gif.latex?\\frac{8}{5}\" alt=\"\\frac{8}{5}\" align=\"absmiddle\" \/><\/td>\n<td style=\"background-color: #ffffff; width: 10px; text-align: center; vertical-align: middle;\">\u2192<\/td>\n<td style=\"background-color: #ffffff; width: 284px; text-align: center; vertical-align: middle;\"><img decoding=\"async\" class=\"aligncenter\" src=\"http:\/\/latex.codecogs.com\/gif.latex?8&amp;space;:&amp;space;{\\color{Red}&amp;space;5}={\\color{Blue}&amp;space;1}\\:&amp;space;\\:&amp;space;\\:&amp;space;resto&amp;space;={\\color{DarkOrange}&amp;space;3}\" alt=\"8 : {\\color{Red} 5}={\\color{Blue} 1}\\: \\: \\: resto ={\\color{DarkOrange} 3}\" align=\"absmiddle\" \/><\/td>\n<td style=\"background-color: #ffffff; width: 10px; text-align: center; vertical-align: middle;\">\u2192<\/td>\n<td style=\"background-color: #ffffff; width: 133px; text-align: center; vertical-align: middle;\"><img decoding=\"async\" class=\"aligncenter\" src=\"http:\/\/latex.codecogs.com\/gif.latex?\\boldsymbol{{\\color{Blue}&amp;space;1}\\frac{{\\color{DarkOrange}&amp;space;3}}{{\\color{Red}&amp;space;5}}}\" alt=\"\\boldsymbol{{\\color{Blue} 1}\\frac{{\\color{DarkOrange} 3}}{{\\color{Red} 5}}}\" align=\"absmiddle\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"background-color: #ffffff; width: 138.5px; text-align: center; vertical-align: middle;\"><img decoding=\"async\" class=\"aligncenter\" src=\"http:\/\/latex.codecogs.com\/gif.latex?\\frac{11}{4}\" alt=\"\\frac{11}{4}\" align=\"absmiddle\" \/><\/td>\n<td style=\"background-color: #ffffff; width: 10px; text-align: center; vertical-align: middle;\">\u2192<\/td>\n<td style=\"background-color: #ffffff; width: 284px; text-align: center; vertical-align: middle;\"><img decoding=\"async\" class=\"aligncenter\" src=\"http:\/\/latex.codecogs.com\/gif.latex?11&amp;space;:&amp;space;{\\color{Red}&amp;space;4}&amp;space;=&amp;space;{\\color{Blue}&amp;space;2}\\:&amp;space;\\:&amp;space;resto={\\color{DarkOrange}&amp;space;3}\" alt=\"11 : {\\color{Red} 4} = {\\color{Blue} 2}\\: \\: resto={\\color{DarkOrange} 3}\" align=\"absmiddle\" \/><\/td>\n<td style=\"background-color: #ffffff; width: 10px; text-align: center; vertical-align: middle;\">\u2192<\/td>\n<td style=\"background-color: #ffffff; width: 133px; text-align: center; vertical-align: middle;\"><img decoding=\"async\" class=\"aligncenter\" src=\"http:\/\/latex.codecogs.com\/gif.latex?\\boldsymbol{{\\color{Blue}&amp;space;2}\\frac{{\\color{DarkOrange}&amp;space;3}}{{\\color{Red}&amp;space;4}}}\" alt=\"\\boldsymbol{{\\color{Blue} 2}\\frac{{\\color{DarkOrange} 3}}{{\\color{Red} 4}}}\" align=\"absmiddle\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"background-color: #ffffff; width: 138.5px; text-align: center; vertical-align: middle;\"><img decoding=\"async\" class=\"aligncenter\" src=\"http:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{3}\" alt=\"\\frac{5}{3}\" align=\"absmiddle\" \/><\/td>\n<td style=\"background-color: #ffffff; width: 10px; text-align: center; vertical-align: middle;\">\u2192<\/td>\n<td style=\"background-color: #ffffff; width: 284px; text-align: center; vertical-align: middle;\"><img decoding=\"async\" class=\"aligncenter\" src=\"http:\/\/latex.codecogs.com\/gif.latex?5:{\\color{Red}&amp;space;3}={\\color{Blue}&amp;space;1}\\:&amp;space;\\:&amp;space;resto={\\color{DarkOrange}&amp;space;2}\" alt=\"5:{\\color{Red} 3}={\\color{Blue} 1}\\: \\: resto={\\color{DarkOrange} 2}\" align=\"absmiddle\" \/><\/td>\n<td style=\"background-color: #ffffff; width: 10px; text-align: center; vertical-align: middle;\">\u2192<\/td>\n<td style=\"background-color: #ffffff; width: 133px; text-align: center; vertical-align: middle;\"><img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?\\boldsymbol{{\\color{Blue}&amp;space;1}\\frac{{\\color{DarkOrange}&amp;space;2}}{{\\color{Red}&amp;space;3}}}\" alt=\"\\boldsymbol{{\\color{Blue} 1}\\frac{{\\color{DarkOrange} 2}}{{\\color{Red} 3}}}\" align=\"absmiddle\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<h2>\u00bfc\u00f3mo transformar un n\u00famero mixto a una fracci\u00f3n impropia?<\/h2>\n<p style=\"text-align: justify;\">En esta conversi\u00f3n tenemos que multiplicar la parte entera por el denominador de la parte fraccionaria y sumar a ese resultado el numerador. Luego, colocamos como denominador de la fracci\u00f3n impropia el mismo denominador de la parte fraccionaria del n\u00famero mixto.<\/p>\n<p><strong>&#8211; Ejemplo:<\/strong><\/p>\n<table style=\"width: 656px;\">\n<tbody>\n<tr>\n<td style=\"background-color: #ffffff; width: 87.5px; text-align: center;\"><img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?\\boldsymbol{{\\color{Blue}&amp;space;1}\\frac{{\\color{DarkOrange}&amp;space;4}}{{\\color{Red}&amp;space;5}}}\" alt=\"\\boldsymbol{{\\color{Blue} 1}\\frac{{\\color{DarkOrange} 4}}{{\\color{Red} 5}}}\" align=\"absmiddle\" \/><\/td>\n<td style=\"background-color: #ffffff; width: 78.5px; text-align: center;\">\u2192<\/td>\n<td style=\"background-color: #ffffff; width: 284px; text-align: center;\"><img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?{\\color{Blue}&amp;space;1}\\times&amp;space;{\\color{Red}&amp;space;5}=5+{\\color{DarkOrange}&amp;space;4}=\\boldsymbol{9}\" alt=\"{\\color{Blue} 1}\\times {\\color{Red} 5}=5+{\\color{DarkOrange} 4}=\\boldsymbol{9}\" align=\"absmiddle\" \/><\/td>\n<td style=\"background-color: #ffffff; width: 10px; text-align: center;\">\u2192<\/td>\n<td style=\"background-color: #ffffff; width: 115px; text-align: center;\"><img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?\\boldsymbol{\\frac{9}{{\\color{Red}&amp;space;5}}}\" alt=\"\\boldsymbol{\\frac{9}{{\\color{Red} 5}}}\" align=\"absmiddle\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p><strong>&#8211; Otros ejemplos:<\/strong><\/p>\n<table style=\"width: 619px;\">\n<tbody>\n<tr>\n<td style=\"background-color: #ffffff; width: 138.5px; text-align: center; vertical-align: middle;\"><strong>N\u00famero mixto<\/strong><\/td>\n<td style=\"background-color: #ffffff; width: 10px; text-align: center; vertical-align: middle;\"><\/td>\n<td style=\"background-color: #ffffff; width: 284px; text-align: center; vertical-align: middle;\"><strong>Operaci\u00f3n<\/strong><\/td>\n<td style=\"background-color: #ffffff; width: 10px; text-align: center; vertical-align: middle;\"><\/td>\n<td style=\"background-color: #ffffff; width: 133px; text-align: center; vertical-align: middle;\"><strong>Fracci\u00f3n impropia<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"background-color: #ffffff; width: 138.5px; text-align: center; vertical-align: middle;\"><img decoding=\"async\" class=\"aligncenter\" src=\"http:\/\/latex.codecogs.com\/gif.latex?\\boldsymbol{{\\color{Blue}&amp;space;1}\\frac{{\\color{DarkOrange}&amp;space;3}}{{\\color{Red}&amp;space;5}}}\" alt=\"\\boldsymbol{{\\color{Blue} 1}\\frac{{\\color{DarkOrange} 3}}{{\\color{Red} 5}}}\" align=\"absmiddle\" \/><\/td>\n<td style=\"background-color: #ffffff; width: 10px; text-align: center; vertical-align: middle;\">\u2192<\/td>\n<td style=\"background-color: #ffffff; width: 284px; text-align: center; vertical-align: middle;\"><img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?{\\color{Blue}&amp;space;1}\\times&amp;space;{\\color{Red}&amp;space;5}=5+{\\color{DarkOrange}&amp;space;3}=\\boldsymbol{8}\" alt=\"{\\color{Blue} 1}\\times {\\color{Red} 5}=5+{\\color{DarkOrange} 3}=\\boldsymbol{8}\" align=\"absmiddle\" \/><\/td>\n<td style=\"background-color: #ffffff; width: 10px; text-align: center; vertical-align: middle;\">\u2192<\/td>\n<td style=\"background-color: #ffffff; width: 133px; text-align: center; vertical-align: middle;\"><img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?\\boldsymbol{\\frac{8}{{\\color{Red}&amp;space;5}}}\" alt=\"\\boldsymbol{\\frac{8}{{\\color{Red} 5}}}\" align=\"absmiddle\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"background-color: #ffffff; width: 138.5px; text-align: center; vertical-align: middle;\"><img decoding=\"async\" class=\"aligncenter\" src=\"http:\/\/latex.codecogs.com\/gif.latex?\\boldsymbol{{\\color{Blue}&amp;space;2}\\frac{{\\color{DarkOrange}&amp;space;3}}{{\\color{Red}&amp;space;4}}}\" alt=\"\\boldsymbol{{\\color{Blue} 2}\\frac{{\\color{DarkOrange} 3}}{{\\color{Red} 4}}}\" align=\"absmiddle\" \/><\/td>\n<td style=\"background-color: #ffffff; width: 10px; text-align: center; vertical-align: middle;\">\u2192<\/td>\n<td style=\"background-color: #ffffff; width: 284px; text-align: center; vertical-align: middle;\"><img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?{\\color{Blue}&amp;space;2}\\times&amp;space;{\\color{Red}&amp;space;4}=8+{\\color{DarkOrange}&amp;space;3}=\\boldsymbol{11}\" alt=\"{\\color{Blue} 2}\\times {\\color{Red} 4}=8+{\\color{DarkOrange} 3}=\\boldsymbol{11}\" align=\"absmiddle\" \/><\/td>\n<td style=\"background-color: #ffffff; width: 10px; text-align: center; vertical-align: middle;\">\u2192<\/td>\n<td style=\"background-color: #ffffff; width: 133px; text-align: center; vertical-align: middle;\"><img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?\\boldsymbol{\\frac{11}{{\\color{Red}&amp;space;4}}}\" alt=\"\\boldsymbol{\\frac{11}{{\\color{Red} 4}}}\" align=\"absmiddle\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"background-color: #ffffff; width: 138.5px; text-align: center; vertical-align: middle;\"><img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?\\boldsymbol{{\\color{Blue}&amp;space;1}\\frac{{\\color{DarkOrange}&amp;space;2}}{{\\color{Red}&amp;space;3}}}\" alt=\"\\boldsymbol{{\\color{Blue} 1}\\frac{{\\color{DarkOrange} 2}}{{\\color{Red} 3}}}\" align=\"absmiddle\" \/><\/td>\n<td style=\"background-color: #ffffff; width: 10px; text-align: center; vertical-align: middle;\">\u2192<\/td>\n<td style=\"background-color: #ffffff; width: 284px; text-align: center; vertical-align: middle;\"><img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?{\\color{Blue}&amp;space;1}\\times&amp;space;{\\color{Red}&amp;space;3}=3+{\\color{DarkOrange}&amp;space;2}=\\boldsymbol{5}\" alt=\"{\\color{Blue} 1}\\times {\\color{Red} 3}=3+{\\color{DarkOrange} 2}=\\boldsymbol{5}\" align=\"absmiddle\" \/><\/td>\n<td style=\"background-color: #ffffff; width: 10px; text-align: center; vertical-align: middle;\">\u2192<\/td>\n<td style=\"background-color: #ffffff; width: 133px; text-align: center; vertical-align: middle;\"><img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?\\boldsymbol{\\frac{5}{{\\color{Red}&amp;space;3}}}\" alt=\"\\boldsymbol{\\frac{5}{{\\color{Red} 3}}}\" align=\"absmiddle\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div class=\"su-note destacado\"  style=\"border-color:#c1c1d0;\"><div class=\"su-note-inner su-u-clearfix su-u-trim\" style=\"background-color:#DBDBEA;border-color:#ffffff;color:#333333;\">\n<p><strong>N\u00fameros mixtos en la vida cotidiana<\/strong><\/p>\n<p>Muchas veces usamos n\u00fameros mixtos para expresar cantidad de ingredientes o tiempo, por ejemplo:<\/p>\n<ul>\n<li>Un partido de f\u00fatbol dura <strong>1\u00bd<\/strong> <strong>hora<\/strong> o un partido de f\u00fatbol dura <strong>una hora y media<\/strong>.<\/li>\n<li>Faltan <strong>2\u00bc<\/strong> <strong>horas<\/strong> para la pel\u00edcula o faltan <strong>dos horas y cuarto<\/strong> para la pel\u00edcula.<\/li>\n<li>El postre necesita <strong>3\u00bd<\/strong> <strong>cucharadas<\/strong> de az\u00facar o el postre necesita <strong>tres cucharadas y media<\/strong> de az\u00facar.<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-17726 aligncenter\" src=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/cucharada.jpg\" alt=\"\" width=\"1920\" height=\"1225\" srcset=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/cucharada.jpg 1920w, https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/cucharada-300x191.jpg 300w, https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/cucharada-768x490.jpg 768w, https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/cucharada-1024x653.jpg 1024w\" sizes=\"(max-width: 1920px) 100vw, 1920px\" \/><\/p>\n<\/div><\/div>\n<p style=\"text-align: justify;\"><div class=\"su-box su-box-style-default sabiasque\" id=\"\" style=\"border-color:#a8a8b7;border-radius:0px;\"><div class=\"su-box-title\" style=\"background-color:#DBDBEA;color:#484848;border-top-left-radius:0px;border-top-right-radius:0px\">\u00bfSab\u00edas qu\u00e9?<\/div><div class=\"su-box-content su-u-clearfix su-u-trim\" style=\"border-bottom-left-radius:0px;border-bottom-right-radius:0px\">Para sumar y restar n\u00fameros mixtos de forma sencilla primero debemos convertirlos en fracciones impropias. <\/div><\/div>\n<h2>n\u00fameros mixtos en la recta num\u00e9rica<\/h2>\n<p style=\"text-align: justify;\">Para ubicar n\u00fameros mixtos en la recta num\u00e9rica consideramos inicialmente la parte entera, esta nos indicar\u00e1 entre cu\u00e1les n\u00fameros est\u00e1 la parte fraccionaria. Como la parte fraccionaria consta de una fracci\u00f3n propia, solo tenemos que dividir el segmento entre los dos n\u00fameros enteros en la cantidad de partes que se\u00f1ale el denominador, luego contamos tantos espacios como muestre el numerador y marcamos el n\u00famero mixto o su equivalente fracci\u00f3n impropia.<\/p>\n<p><strong>&#8211; Ejemplo:<\/strong><\/p>\n<p>Ubiquemos en la recta num\u00e9rica el n\u00famero mixto\u00a0<img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?1\\frac{4}{5}\" alt=\"1\\frac{4}{5}\" align=\"absmiddle\" \/>.<\/p>\n<ul>\n<li>La parte entera es 1, as\u00ed que solo dibujamos la recta entre 1 y 2.<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-17698 aligncenter\" src=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/b1.png\" alt=\"\" width=\"606\" height=\"84\" srcset=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/b1.png 606w, https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/b1-300x42.png 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<ul>\n<li>Como el denominador de la parte fraccionaria es 5, dividimos el segmento entre 1 y 2 en 5 partes iguales.<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-17699 aligncenter\" src=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/b2.png\" alt=\"\" width=\"602\" height=\"123\" srcset=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/b2.png 602w, https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/b2-300x61.png 300w\" sizes=\"(max-width: 602px) 100vw, 602px\" \/><\/p>\n<ul>\n<li>Contamos 4 espacios desde el n\u00famero 1 porque el numerador de la parte fraccionaria es 4.<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-17700 aligncenter\" src=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/b3.png\" alt=\"\" width=\"608\" height=\"139\" srcset=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/b3.png 608w, https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/b3-300x69.png 300w\" sizes=\"(max-width: 608px) 100vw, 608px\" \/><\/p>\n<ul>\n<li>Escribimos el n\u00famero mixto o su fracci\u00f3n impropia equivalente\u00a0<img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?\\frac{9}{5}\" alt=\"\\frac{9}{5}\" align=\"absmiddle\" \/>\u00a0en ese punto.<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-17701 aligncenter\" src=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/b4.png\" alt=\"\" width=\"599\" height=\"124\" srcset=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/b4.png 599w, https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/b4-300x62.png 300w\" sizes=\"(max-width: 599px) 100vw, 599px\" \/><\/p>\n<h2>\u00a1A practicar!<\/h2>\n<p>1. \u00bfQu\u00e9 n\u00famero mixto representan estos gr\u00e1ficos?<\/p>\n<p>a.\u00a0<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-17703\" src=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/c1.png\" alt=\"\" width=\"661\" height=\"164\" srcset=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/c1.png 661w, https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/c1-300x74.png 300w\" sizes=\"(max-width: 661px) 100vw, 661px\" \/><\/p>\n<p>b.\u00a0<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-17704\" src=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/c2.png\" alt=\"\" width=\"328\" height=\"161\" srcset=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/c2.png 328w, https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/c2-300x147.png 300w\" sizes=\"(max-width: 328px) 100vw, 328px\" \/><\/p>\n<p>c.\u00a0<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-17705\" src=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/c3.png\" alt=\"\" width=\"497\" height=\"161\" srcset=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/c3.png 497w, https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/c3-300x97.png 300w\" sizes=\"(max-width: 497px) 100vw, 497px\" \/><\/p>\n<p>2. Convierte los siguientes n\u00fameros mixtos a fracciones impropias.<\/p>\n<table>\n<tbody>\n<tr>\n<td style=\"background-color: #ffffff;\">a.\u00a0 \u00a0<img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?3\\frac{2}{5}\" alt=\"3\\frac{2}{5}\" align=\"absmiddle\" \/><\/td>\n<td style=\"background-color: #ffffff;\">b.\u00a0 \u00a0<img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?1\\frac{6}{7}\" alt=\"1\\frac{6}{7}\" align=\"absmiddle\" \/><\/td>\n<td style=\"background-color: #ffffff;\">c.\u00a0 \u00a0<img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?2\\frac{3}{5}\" alt=\"2\\frac{3}{5}\" align=\"absmiddle\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>3. Convierte las siguientes fracciones impropias a n\u00fameros mixtos.<\/p>\n<table>\n<tbody>\n<tr>\n<td style=\"background-color: #ffffff;\">a.\u00a0 \u00a0<img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?\\frac{4}{3}\" alt=\"\\frac{4}{3}\" align=\"absmiddle\" \/><\/td>\n<td style=\"background-color: #ffffff;\">b.\u00a0 \u00a0<img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?\\frac{10}{7}\" alt=\"\\frac{10}{7}\" align=\"absmiddle\" \/><\/td>\n<td style=\"background-color: #ffffff;\">c.\u00a0 \u00a0<img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?\\frac{15}{4}\" alt=\"\\frac{15}{4}\" align=\"absmiddle\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>4. Ubica los siguientes n\u00famero mixtos en la recta num\u00e9rica.<\/p>\n<table>\n<tbody>\n<tr>\n<td style=\"background-color: #ffffff;\">a.\u00a0 \u00a0<img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?3\\frac{3}{4}\" alt=\"3\\frac{3}{4}\" align=\"absmiddle\" \/><\/td>\n<td style=\"background-color: #ffffff;\">b.\u00a0 \u00a0<img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?1\\frac{1}{3}\" alt=\"1\\frac{1}{3}\" align=\"absmiddle\" \/><\/td>\n<td style=\"background-color: #ffffff;\">c.\u00a0 \u00a0<img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?2\\frac{3}{5}\" alt=\"2\\frac{3}{5}\" align=\"absmiddle\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div class=\"su-note destacado\"  style=\"border-color:#c1c1d0;\"><div class=\"su-note-inner su-u-clearfix su-u-trim\" style=\"background-color:#DBDBEA;border-color:#ffffff;color:#333333;\">\n<p><strong>Respuestas<\/strong><\/p>\n<table>\n<tbody>\n<tr>\n<td style=\"border-color: #DBDBEA;\">1a.\u00a0 <img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?3\\frac{3}{4}\" alt=\"3\\frac{3}{4}\" align=\"absmiddle\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>1b.\u00a0 <img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?1\\frac{1}{5}\" alt=\"1\\frac{1}{5}\" align=\"absmiddle\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>1c.\u00a0 <img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?2\\frac{4}{7}\" alt=\"2\\frac{4}{7}\" align=\"absmiddle\" \/><\/td>\n<td style=\"border-color: #DBDBEA;\">2a.\u00a0 \u00a0<img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?\\frac{17}{5}\" alt=\"\\frac{17}{5}\" align=\"absmiddle\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>2b.\u00a0 \u00a0<img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?\\frac{13}{7}\" alt=\"\\frac{13}{7}\" align=\"absmiddle\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>2c.\u00a0 \u00a0<img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?\\frac{13}{5}\" alt=\"\\frac{13}{5}\" align=\"absmiddle\" \/><\/td>\n<td style=\"border-color: #DBDBEA;\">3a.\u00a0 \u00a0<img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?1\\frac{1}{3}\" alt=\"1\\frac{1}{3}\" align=\"absmiddle\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>3b.\u00a0 \u00a0<img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?1\\frac{3}{7}\" alt=\"1\\frac{3}{7}\" align=\"absmiddle\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>3c.\u00a0 \u00a0<img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?3\\frac{3}{4}\" alt=\"3\\frac{3}{4}\" align=\"absmiddle\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>4a.\u00a0<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-17712\" src=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/a2-3.png\" alt=\"\" width=\"540\" height=\"89\" srcset=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/a2-3.png 540w, https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/a2-3-300x49.png 300w\" sizes=\"(max-width: 540px) 100vw, 540px\" \/><\/p>\n<p>4b.\u00a0<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-17714\" src=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/a4-2.png\" alt=\"\" width=\"544\" height=\"87\" srcset=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/a4-2.png 544w, https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/a4-2-300x48.png 300w\" sizes=\"(max-width: 544px) 100vw, 544px\" \/><\/p>\n<p>4c.\u00a0<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-17711\" src=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/a1-3.png\" alt=\"\" width=\"535\" height=\"81\" srcset=\"https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/a1-3.png 535w, https:\/\/elbibliote.com\/resources\/articulosdestacados\/wp-content\/uploads\/2020\/10\/a1-3-300x45.png 300w\" sizes=\"(max-width: 535px) 100vw, 535px\" \/><\/p>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Las fracciones representan una parte de un todo, as\u00ed que son \u00fatiles para expresar, por ejemplo, la cantidad de trozos de pizza que nos comimos. Cuando el numerador es mayor que el denominador\u00a0se dicen que son impropias y se pueden expresar como un n\u00famero mixto: una combinaci\u00f3n de un n\u00famero natural con una fracci\u00f3n propia.<\/p>\n","protected":false},"author":13,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[19],"tags":[11554,7391,11611,11613,3784,7389,11610,11609,6603,11612,827,8485,2827,10192],"_links":{"self":[{"href":"https:\/\/elbibliote.com\/resources\/articulosdestacados\/index.php?rest_route=\/wp\/v2\/posts\/17647"}],"collection":[{"href":"https:\/\/elbibliote.com\/resources\/articulosdestacados\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/elbibliote.com\/resources\/articulosdestacados\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/elbibliote.com\/resources\/articulosdestacados\/index.php?rest_route=\/wp\/v2\/users\/13"}],"replies":[{"embeddable":true,"href":"https:\/\/elbibliote.com\/resources\/articulosdestacados\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=17647"}],"version-history":[{"count":37,"href":"https:\/\/elbibliote.com\/resources\/articulosdestacados\/index.php?rest_route=\/wp\/v2\/posts\/17647\/revisions"}],"predecessor-version":[{"id":17782,"href":"https:\/\/elbibliote.com\/resources\/articulosdestacados\/index.php?rest_route=\/wp\/v2\/posts\/17647\/revisions\/17782"}],"wp:attachment":[{"href":"https:\/\/elbibliote.com\/resources\/articulosdestacados\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=17647"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/elbibliote.com\/resources\/articulosdestacados\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=17647"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/elbibliote.com\/resources\/articulosdestacados\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=17647"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}