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Razonando con proporciones

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Razonando con proporciones

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Razones, proporciones y regla de tres

Created by

Veronica Condori
Veronica Condori
Bolivia

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Razonando con proporciones
 

Razonando con proporcionesOnline version

Razones, proporciones y regla de tres

by Veronica Condori
1

¿Qué es una razón?

2

¿Qué significa simplificar una razón?

3

Proporción: ¿qué indica una proporción?

4

Regla de tres simple: si 5 manzanas cuestan 15 pesos, ¿cuánto cuestan 8 manzanas?

5

Si 3 kg de arroz cuestan 9 pesos, ¿cuánto costarán 9 kg?

6

En la proporción 4:6 = x:9, ¿cuánto es x?

7

Regla de tres: si 7 libros requieren 3 horas, ¿cuántas horas para 21 libros?

8

¿Qué describe la constante de proporcionalidad en una relación?

9

Si 2 tazas de harina requieren 3 tazas de leche, ¿cuánta leche para 4 tazas de harina?

10

La razón 8:12 simplifica a

Explicación

Una razón expresa cuántas veces una cantidad contiene a otra.

Se reduce a fracciones equivalentes dividiendo por el mayor común divisor.

Una proporción dice que dos razones son equivalentes entre sí.

Precio por manzana = 15/5 = 3; 8×3 = 24.

Todos los kilos cuestan a razón 9/3 = 3 por kg; 9×3 = 27.

Cruza: x = (4×9)/6 = 6.

Proporción: 7 libros→3 h; 21 libros→3×3=9 h.

Indica cuánto crecen las dos cantidades entre sí cuando una cambia.

Proporción leche/harina = 3/2; 4×(3/2)=6.

Dividiendo entre 4 se obtiene 2:3.

 
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