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3.6. Dividiendo los puestos

A vueltas con la división

Puesto de mercado vacío

Un mercado puede utilizar \( \frac{3}{4}\) de un terreno para colocar diferentes puestos.

Cada puesto debe ocupar \( \frac{1}{8}\) del terreno total.

¿Cuántos puestos de 1/8 caben en un espacio de 3/4?

Solución

La operación matemática es: \( \frac{3}{4} : \frac{1}{8}\) .

Para resolverlo, puedes:

  • Mantener la primera fracción igual: \( \frac{3}{4}\).
  • Dar la vuelta a la segunda fracción \( \frac{1}{8}\) para convertirla en \( \frac{8}{1}\).
  • Cambiar la división por una multiplicación: \( \frac{3}{4} \times \frac{1}{8} = \frac{24}{4}\).
  • Realizar la división, si es posible: \(\frac{24}{4} = 6\).

Esto significa que caben 6 puestos.

División

Como sabes, la división es la operación inversa de la multiplicación.

Entonces, la división se realiza:

  • Obtienes la inversa de la fracción de la derecha, es decir intercambias numerador por denominador.
  • Multiplicas la fracción de la izquierda por la fracción inversa obtenida. 

\(\large\displaystyle \frac{2}{3} : \frac{5}{7}=\frac{2}{3} \times \frac{7}{5}=\frac{14}{15}\)

Preparando la ropa

Tienda de ropa

Marisa tiene un puesto en el mercado en el que vende ropa. Su puesto está dividido en 4 zonas iguales:

Escaparate de una tienda de ropa con diferentes prendas

  • En la primera vende camisas de manga larga.
  • En la segunda zona vende camisas de manga corta.
  • En la tercera zona vende pantalones de chándal.
  • Y en la cuarta zona vende zapatillas deportivas.
  1. ¿Qué fracción representa cada una de las zonas del puesto de Marisa?
  2. Marisa quiere redistribuir la tienda y dividir la zona de camisas en 4 zonas diferentes según sus colores y no según el largo de sus mangas. ¿Qué fracción representaría cada una de estas nuevas zonas?
  3. Explícalo y comparte la explicación con el grupo clase.

Zapatería

Escaparate dde una zapatería con diferentes tipos de calzadoEn la zapatería de Juan se venden cinco tipos de zapatos, clasificados por el número de pie: talla 38, 39, 40, 41 y 42.

Cada tipo de zapato representa una fracción de un quinto del espacio de su estantería.

Juan decide ampliar su colección de calzado, añadiendo siete nuevas tallas: 43, 44, 45, 46, 47, 48 y 49.

Las secciones de cada talla van a tener la misma dimensión.

  1. ¿Qué fracción de la estantería representa ahora cada una de las nuevas tallas incorporadas?
  2. ¿Qué fracción representa la suma de todas ellas?

¿Cuál es la correcta?

Selecciona la respuesta correcta. 

undefined

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