razones y proporciones

razones y proporciones  (yael_899)

 

Las razones y proporciones tienen una gran aplicación en diversas disciplinas; por ejemplo, en ingeniería se emplean las escalas para realizar maquetas, en el área contable, para realizar movimientos financieros y, en la vida diaria, para efectuar ciertas operaciones aritméticas.

Una razón es la comparación por cociente de dos números. Este cociente se interpreta como el número de veces que uno de ellos es mayor que el otro, esto se expresa como:

Graphics

En una razón, al término a se le llama antecedente y al término b, consecuente.

Ejemplo:

Una persona, al comprar una caja que contiene 30 manzanas, observó que seis salieron mallugadas; la razón que se obtiene es:

Graphics

simplificando la razón, se tiene:

Graphics

lo cual se interpreta como: una manzana de cada cinco está mallugada.

Se llama proporción a la equivalencia entre dos razones y, se expresa como:

Graphics

en una proporción, a los términos a y d se les llama extremos y a b y c, medios.

Dos razones forman una proporción, solamente si el producto de sus extremos es igual al producto de sus medios; este enunciado es conocido como la propiedad fundamental de las proporciones y se expresa así:

Graphics

Ejemplo:

Un sastre compró 3.5 m. de tela y pagó por ella N$ 245.00. Si necesita 8 m. de la misma tela, ¿cuánto deberá pagar?

Aplicando la propiedad fundamental de las proporciones y efectuando las operaciones se tiene:

Graphics

Los 8 m de tela cuestan N$ 560.00

En toda proporción, un extremo es igual al producto de los medios entre el otro extremo, y un medio es igual al producto de los extremos entre el otro medio.

Ejemplos:

Graphics

Las razones y proporciones tienen una gran aplicación en diversas disciplinas; por ejemplo, en ingeniería se emplean las escalas para realizar maquetas, en el área contable, para realizar movimientos financieros y, en la vida diaria, para efectuar ciertas operaciones aritméticas.

Una razón es la comparación por cociente de dos números. Este cociente se interpreta como el número de veces que uno de ellos es mayor que el otro, esto se expresa como:

Graphics

En una razón, al término a se le llama antecedente y al término b, consecuente.

Ejemplo:

Una persona, al comprar una caja que contiene 30 manzanas, observó que seis salieron mallugadas; la razón que se obtiene es:

Graphics

simplificando la razón, se tiene:

Graphics

lo cual se interpreta como: una manzana de cada cinco está mallugada.

Se llama proporción a la equivalencia entre dos razones y, se expresa como:

Graphics

en una proporción, a los términos a y d se les llama extremos y a b y c, medios.

Dos razones forman una proporción, solamente si el producto de sus extremos es igual al producto de sus medios; este enunciado es conocido como la propiedad fundamental de las proporciones y se expresa así:

Graphics

Ejemplo:

Un sastre compró 3.5 m. de tela y pagó por ella N$ 245.00. Si necesita 8 m. de la misma tela, ¿cuánto deberá pagar?

Aplicando la propiedad fundamental de las proporciones y efectuando las operaciones se tiene:

Graphics

Los 8 m de tela cuestan N$ 560.00

En toda proporción, un extremo es igual al producto de los medios entre el otro extremo, y un medio es igual al producto de los extremos entre el otro medio.

Ejemplos:

Graphics 

Las razones y proporciones tienen una gran aplicación en diversas disciplinas; por ejemplo, en ingeniería se emplean las escalas para realizar maquetas, en el área contable, para realizar movimientos financieros y, en la vida diaria, para efectuar ciertas operaciones aritméticas.

Una razón es la comparación por cociente de dos números. Este cociente se interpreta como el número de veces que uno de ellos es mayor que el otro, esto se expresa como:

Graphics

En una razón, al término a se le llama antecedente y al término b, consecuente.

Ejemplo:

Una persona, al comprar una caja que contiene 30 manzanas, observó que seis salieron mallugadas; la razón que se obtiene es:

Graphics

simplificando la razón, se tiene:

Graphics

lo cual se interpreta como: una manzana de cada cinco está mallugada.

Se llama proporción a la equivalencia entre dos razones y, se expresa como:

Graphics

en una proporción, a los términos a y d se les llama extremos y a b y c, medios.

Dos razones forman una proporción, solamente si el producto de sus extremos es igual al producto de sus medios; este enunciado es conocido como la propiedad fundamental de las proporciones y se expresa así:

Graphics

Ejemplo:

Un sastre compró 3.5 m. de tela y pagó por ella N$ 245.00. Si necesita 8 m. de la misma tela, ¿cuánto deberá pagar?

Aplicando la propiedad fundamental de las proporciones y efectuando las operaciones se tiene:

Graphics

Los 8 m de tela cuestan N$ 560.00

En toda proporción, un extremo es igual al producto de los medios entre el otro extremo, y un medio es igual al producto de los extremos entre el otro medio.

Ejemplos:

Graphics

Comentarios

xdd
Te Falto Expresar & Calcular Razones


porq no te metes los numeritos bien por el ojete pedazo de hijo de mil puta


quiero ejemplos de numeros de propiedad fundamental de proporciones y de otras propiedades


que flohera me dan las matematicas jaja no les entiendo ni madre


necesito 10 ejemplos por separado ya ya ya ya pero ya


hey quiero saver como se hace para sacar el ultimo resultado.???


=D


NECESITO SABAR PROPORCIONES Y RAZONES PEO SOLO MATEMAT....POR FA ES PA ESTE LUNES


Q monse!....


nose como xuxa hacer tablas :S en esta wea :G & tengo prueba de sintesis mañana :|


me parecio super chevere que hayan puesto esto para que las/os niñas/os puedan saber mas. y para que agranden sus consultas.


ME PARECIO GENIAL QUE HAYAN PUESTO ESTE SITIO WEB PARA QUE TODAS Y TODOS LOS Y LAS NIÑAS SE PUEDAN INFOEMAR MUCHO MEJOR Y PARA QUE EN SUS CONSULTAS PUEDAN APRENDER MUCHO MEJOR.


le falta mas informacion


que mensos


falta más explicaciones y esto ya esta copiao por otra página


Gracias


les falta mucha informacon no pongan solo ejemplos, pero ojala lo puedan mejorar para que realmente sea de beneficio a quenes lo necesiten, que de verdad valga la pena pero su pagina es una de las mas importantes


no entiendo ni mierda de lo que necesito no esta cabrones


usted son muy buenos cabrones por ayudarme a a ser la tarea gracias perros ifueputas


usted son muy buenos cabrones por ayudarme a a ser la tarea gracias perros ifueputas MALPARIDOS LES MANDO SALUDES PEDASOS DE CARE CULO


le falta informacion pues todo se repite


muy bueno todo esto


Gracias por poner estos ejemplos.. Me ayudo mas a entender y saver como se le llama a los extremos y medios. Tambien reafirme paso por paso la operacion. Me gustaria tambien si hubiera ejemplos con fracciones y numeros mixtos porfavor.


yo tambien lo necesito para este sabado


gracias pero no me sirvieròn de nada?


no sirve so piensen mas


me sirvio para poder hacer el trabajo


es una mierda


eso no es lo que yo necesito pendejos jodanse el culo!!!!!!!!!!!!111111111111111


AMO A JAVIER CON TODITA MI ALMA Y SOLO ESTOY JUGANDO CON EVER JAJAJAJ Y EL MAJE DICE QUE ME KIERE Y QUE A CAMBIADO POR MI


son unos perros hijueputas


nesecito urgente pa mañana razon y proporcion en la vida diariao me llaman el apoderado por no llevar la tarea es que aqui no salen muchas cosas por fa es
imnmediatoooooooooooooooooooooo
grax


oye mira no entendi mucho y a la profe le dio porcina y no nos paso esta materia pero el profe de remplazo nos va a hacer una prueba de esto y no nos paso materia ¬¬
por eso nos dio unos ejercicios y para que los resolvamos pero no entiendo nada =S

ayudame porfa
te dejo los ejercicios:

Las edades de Juan y MAria suman 35 y estan en la razon 4:3 ¿Cuales son las edades de cada uno?


La suma de los numeros es 20 y estan en la razon 2:3
¿Cuales son los numeros?


te dejo esos porqe son muchos y nos dio 1 dia para hacerlos y en internet no encuentro nada de los ejercicios que me dio =(

porfa ayudame !!!

mandame los resultados por email :D


ejemplosde razones


necesito ejemplos de como se resuelve una razon y mas texto resumiendo o diciendo lo que es una razon


Sii que pereza parc, odiio las matematicas pero La verdad son Super importantes!!!
=$


bueno..y si te dan dos fracciones y hay ke kalcular el valor de x como se hace? por ejemplo o,6:3/5=4/9:x
cual es el resultado de esa operacion?


me parece super genial que alla un sitio web como este
por ejemplo con todo esto estudie para una evaluacion bimestral que valia el 60%


necesito sabe dos ejemplos de proporcion y dos de razon pofa es para hoy


esta muy bien redactado pero les falta poner mas ejercicios


me parecio estupendo que hallan puesto esta web para que podamos saber estas definiciones y que no se encuentra n tan bien explicadas como otras a las que entre..... sigan asi que coon esta web van a progresar mucho quienes la inventaronnnnnnnnnn


besos.......!!!!!!!!!!!!!!!!!11


fuaa es una mierdaa


haaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa puch que pabada mas grande


esto no me sirve


q chida pag. mesirbe para mi tarea


ESTO ES UNA PAVADA


ESTO ES UNA PAVADA esuna mierda de la reconchasumare
ptmr


son unos hijos puta


mola el modo de empleo de los ejercicios XD


deseo operaciones pero con edades porfa


esta mui
linda la
pagina pero
pongan ejemplos


no ke ps nada mas les kiero dar las gracias x ayudarm acer la homework!!! mas dificil para mi ke me dejo el pinchi maestro de matematicas!
!!GR@C!@$!!


es bueno pero no se ven los ejemplos depronto es el computador no se


NORMALLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL


pZ eZte nu ez mii verdadero correo pero amo a green day es mi vida jha jha jha


men gracias pero te falta explicar y poner los numeritos no?? pero esta bien me salvaste de una jajaja thx


noze kk son unas raoznes y proporciones jajaja Xd


chupen la verga del burroooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo


al cristobal le gusta la verga del burroooooooooooooooooooooooooooo.


PORFAVOR TE PIDO QUE ME ENVIES MATERIADE COMO APRENDER TOODO ESTO INCLUYENDO LOS PORCENTAJES PLISSSSSSSSSSSSSSSSSS
PARA ESTE VIERNESIS PUEDE OKA AIOS GRACIAS


que calidad es todo lo de matematica me encanta


estupidos busco 10 ejem de proporcion porfa


por que no entiendes que te amo y no quiero dejar de hacerlo!!!
ademas sabes que eres muy importante en mi vida
y sin ti no seria nada=(



hol@ y graxi@s xla info pro la vrdd n m interezo xk n z lo k buzko valz 10000000000000000 nunk lo olvidz atte:lyly.........................(----y-u-l-i-----)


En realidad esta pagina esta mas omenos quiciera que l ampliaran mas pero creo que es imposible por la galta de razonancia que tienen estos humanos, si se les podria llamar asi =c


COME MIERDAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA


no megusto para nada eso no se en tendio nada


muchas grasiasssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss


aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaammmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaalllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaammmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaattttttttttttttttttttttttttttttttttttttttttteeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeemakbdbg


miren pedazo de inutiles no valen ni mierda necesito son ejemplos pedazo de hijueputas


necesito lo que significa no los ejemplos


stubo genial pero zon max komentarios k info. cheken ezo


sta super bienn...


disculpen me gustaria saber que son razones y proporciones me cuesta pero tambien me gustaria sabe la nocion de funcion. Ojala me respondan


Gracias.


con mi maestro agustin estoy viendo razones q creo q es un maestro q enseña matemeticas


tu mama es surda y no tiene brazo izquierdo
pendejos cara de mierda


k buena
ideaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa


muy buennnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaay locaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa paginaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk locooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
chavitossssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssno agan esto plissssssssssssss jajajajaajjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii


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maldita sea mierda


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pinches culeros imbeciles


no me gusto su informacion encuentro cosas mejores en otras paginas hagan mas ejercicios y chupen lo'h pesho'h


tontos los que leen esto


muy bueno


hola que tas bro pudes poner ejercion de con 2 extremas y 2 mediaos como mas jemplos difisiles si te entiendo lo que dises un poquito mas complicadas cuidate


COMO SE HALLA UN EXTREMO EN UNA PROPORCIN


me cae mal y esta my yuca las mate matica ke orror


Noo Seean mamones con suus comentariooss CULEROS!! agradesscan qee less estann enceñandoo aunkke seaa una miierdaa!! peroo les enceñnan inbeciless Hiijos dde Puutaa


uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu A L G O M A S...........


K CHUCHA ES ESTO


QUE PENA A LOS QUE TIENEN RESENTIMIENTOS Y LOS VIENEN A DECIR EN UNA PAGINA QUE SUS MAMAS NO VEN PORQUE SI LA VIERAN CON TODOS SUS COMENTARIOS YO CREO QUE LE DARIA UN INFARTO POR TODAS SUS GROCERIAS Y GRACIAS AL CREADOR DE ESTA PAGINA ME FUE MUY UTIL


Realmente me pareció muy buena página. Pregunto?: hay posibilidad de que lo amplien con variedadde ejercicios (decimales, fracciones, etc.)?
Gracias por el aporte a la cultura.


esto es un asco wacala gas leer osea de solo estar en el salon sin dar nada me dan ganas de gritar pon gan las cosas un poco mas cortas que falta q glamuur
o de cache


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