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Razonamiento Matemático: Razones

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Razonamiento Matemático: Razones

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About this activity

Explora y practica razones y proporciones.

Created by

Monica Reynoso Espiniella
Monica Reynoso Espiniella
Mexico

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Razonamiento Matemático: Razones
 

Razonamiento Matemático: RazonesOnline version

Explora y practica razones y proporciones.

by Monica Reynoso Espiniella
1

Introducción a la razón

Una razón compara dos cantidades mediante una relación de cocientes. Indica cuántas veces una cantidad es respecto a la otra.

2

Notación y lectura

Se escribe como a:b o como fracción a/b. Se lee: “a es a b” o “a sobre b”.

3

Razón y fracción

Una razón compara, mientras que una fracción representa una parte de un todo. No siempre son equivalentes.

4

Razones equivalentes

Dos razones son equivalentes si mantienen la misma relación. Ejemplos: 2:4 y 1:2.

5

Simplificar una razón

Para simplificar, divide numerador y denominador por su máximo común divisor (MCD). Resulta una razón más simple.

6

Proporciones

Una proporción expresa igualdad entre dos razones: a:b = c:d. Permite resolver problemas con equivalencias.

7

Regla de tres

Con una proporción, la regla de tres calcula una cantidad desconocida si conocemos las demás.

8

Escalas

La escala de un mapa o plano es una razón que compara dimensiones reales con las dibujadas.

9

Aplicaciones cotidianas

Usamos razones para recetas, velocidades, mezclas, presupuestos y comparaciones entre grupos o cantidades.

10

Ejercicio rápido

Si 6 manzanas cuestan 9 euros, ¿cuánto cuestan 12 manzanas? Es una razón simple: 6:9 = 12: x. Calcula x.
 
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