en cada fila de la tabla tres fracciones son iguales y dos no

obtenga en cada fila de la tabla tres fracciones son iguales y dos no de este sitio.

Fracciones Equivalentes

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Matemáticas

Matemáticas Fracciones Equivalentes

Son aquellas fracciones que representan una misma cantidad, aunque el numerador y el denominador sean diferentes. Por ejemplo:

En cada circulo esta coloreada la misma parte, pero cada fracción es diferente, pues el entero está dividido de diferentes maneras.

Existen dos maneras más utilizadas.

La primera manera consiste en multiplicar cruzado las dos fracciones que queremos comprobar si son equivalentes, es decir, el numerador de la primera fracción se multiplica por el denominador de la segunda y luego, el denominador de la primera fracción por el numerador de la segunda.

Las fracciones serán equivalentes si estas multiplicaciones nos dan el mismo producto

El último ejemplo es muestra de fracciones que no son equivalentes.

La otra manera consiste en convertir a número decimal las fracciones.

Convertimos la primera fracción del ejemplo: 2/5

Se divide el numerador entre el denominador.

Se hace lo mismo con la segunda fracción: 4/10

Las fracciones son equivalentes ya que al convertir a número decimal, se obtiene la misma cantidad.

Hay dos métodos para calcular fracciones equivalentes: por amplificación y por simplificación.

En este método se multiplica el numerador y denominador por el mismo número:

Al multiplicar las fracciones por el mismo número podemos obtener diferentes fracciones equivalentes, como en el ejemplo.

En este método haremos lo contrario a lo que en el primero, ahora dividiremos el denominador y numerador entre un mismo número, de la siguiente manera:

En el ejemplo, 12/30 podemos dividir el numerador y el denominador entre 2, ya que tanto el numerador como el denominador son pares. Por lo tanto 6/15 es una fracción equivalente a 12/30.

Después dividimos 6/15 entre 3. Se observa que las fracciones 2/5, 6/15 y 12/30 son equivalentes.

A continuación un video:

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Matemáticas

fuente : pacoelchato.com

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Ejemplos y ejercicios de fracciones equivalentes

Vamos a ver ejemplos secuenciados de ejercicios de fracciones equivalentes, que son aquellas que aún siendo diferentes representan la misma cantidad. ¡Síguenos!

18 Abr

Ejercicios con fracciones equivalentes

38 Comentarios

En este post vamos a ver algunos ejemplos secuenciados de ejercicios de fracciones equivalentes.

Recordaremos antes que fracciones equivalentes son aquellas fracciones que, aún siendo diferentes, representan la misma cantidad.

Si necesitáis profundizar más en el concepto, en este entrada anterior del blog se explica más detalladamente qué es una fracción equivalente.

La serie de ejercicios de fracciones equivalentes que explicaremos a continuación supone una secuencia con la que trabajarás de una forma muy completa este tipo de fracciones.

Comenzamos con unas actividades con apoyo visual.

Índice

Ejercicio 1

Comenzamos hallando el numerador

Basándote en las representaciones gráficas de dos fracciones que son equivalentes, debes hallar el numerador que falta. En este caso basta con identificar que la parte coloreada de la fracción de la derecha está compuesta por 2 de 8 trozos.

Por tanto el numerador que falta es 2.

A continuación hallamos el denominador

De nuevo, fíjate en  las representaciones gráficas pero esta vez debes hallar el denominador que falta. Al observar la fracción de la derecha vemos que la parte coloreada representa 6 de 8 trozos.

Por tanto el denominador que falta es 8.

Ejercicio 2

Se sustituye el apoyo visual por la razón numérica entre ambas fracciones (x2)

Obtén la fracción equivalente:

En este caso vamos a obtener una fracción equivalente a otra, multiplicando numerador y denominador por el mismo número. Multiplicamos 2 x 2 y obtenemos 4 (nuestro denominador).

Completa la fracción de origen para que sean equivalentes:

Ahora deducimos en base al ejercicio anterior. Buscamos el número que multiplicado por 3 nos de 15. 5 x 3 = 15

El denominador que buscamos es 5.

Ejercicio 3

Añadimos una imagen que ayuda a visualizar las equivalencias:

En este ejercicio debes elegir las fracciones de entre las opciones que son equivalentes a la representada gráficamente.

Debes elegir 1/6 y la propia fracción representada 2/12.

Ejercicio 4

Por último, tenemos este ejercicio en el que debes hallar sin ningún tipo de ayuda el denominador que hace estas fracciones equivalentes.

Para ello nos tenemos que fijar en la relación que hay entre los numeradores. ¿Qué número multiplicado por 1 nos da 4? (1 x 4 = 4)

Después de haber identificado dicha relación, debemos buscar el número que al multiplicarlo por 4 nos da 8. (2 x 4 = 8)

En definitiva, el denominador que buscamos es 2.

Esperemos que con esta secuencia de ejercicios de fracciones equivalentes hayas entendido mucho mejor el concepto de fracciones equivalentes.

Si quieres hacer más ejercicios de fracciones equivalentes como estos, y otros muchos adaptados a tu nivel, entra en Smartick y regístrate gratis.

Smartick ayuda a tus hijos a aprender de manera divertida

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César Fernandez

César es Diplomado y Graduado en Magisterio de Educación Primaria por la Universidad Complutense.

Maestro de vocación y acción, forma parte del departamento de pedagogía de Smartick y trata de aportar la experiencia que ha ganado curso tras curso en el aula.

Cree ciegamente que no hay mejor forma de enseñar algo a un niño que a través de la manipulación ya sea física o digital.

“Aprender el qué a través del cómo”.

Para seguir aprendiendo:

Fracciones equivalentes: qué son y cómo calcularlas

Pasar decimales a fracciones

¿Sabes qué es una fracción equivalente?

Cómo resolver una resta de fracciones

Resta de fracciones con ejercicios y ejemplos

fuente : www.smartick.es