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Razones y Proporciones 7° Básico

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Razones y Proporciones 7° Básico

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Práctica de razones y proporciones para 7° grado

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Macarena Rojas
Macarena Rojas
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Razones y Proporciones 7° Básico
 

Razones y Proporciones 7° BásicoOnline version

Práctica de razones y proporciones para 7° grado

by Macarena Rojas
1

Introducción a Razones y Proporciones

Las razones comparan dos cantidades. Las proporciones dicen que dos razones son iguales entre sí.

2

Qué es una Razón

Una razón es el cociente entre dos números. Se escribe como a/b o a : b.

3

Propiedad de la Razón

La relación entre dos cantidades no cambia si multiplicamos o dividimos por el mismo factor.

4

Proporción Directa

Dos razones son directamente proporcionales cuando al aumentar una, la otra también aumenta en la misma proporción.

5

Proporción Inversa

En una proporción inversa, al aumentar una cantidad, la otra disminuye para mantener el mismo producto.

6

Regla de Cruce

En una proporción a/b = c/d se aplica la regla de cruce: a·d = b·c.

7

Ejemplo de Proporción Directa

Si 3 manzanas cuestan 6$, ¿cuánto costarán 7 manzanas? Uso de razón directa: precio por manzana.

8

Ejemplo de Proporción Inversa

Si 4 trabajadores tardan 8 horas, ¿cuánto tardarán 2 trabajadores? Proporción inversa: tiempo ∝ 1/empleados.

9

Problema de Aplicación

Una receta duplica ingredientes para 4 porciones. ¿Cuánta harina para 10 porciones? Usa proporciones directas.

10

Ejercicios Rápidos

Calcula: 2/5 = ?; si x/y = 3/4, ¿x = ?; resuelve la proporción 6/9 = ?/15.
 
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