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3.2. Comparando empanadas

Comparar fracciones

Empanada con un trozo cortadoPara la gran fiesta, tienes un gran dilema: ¿De qué empanada hay más trozos?

Necesitas comparar las porciones de las dos empanadas, una de zamburiñas y otra de pulpo.

Estate atento/a porque vas a necesitar comparar fracciones. 

Zamburiñas vs Pulpo

En el mercado, las empanadas de zamburiñas y pulpo tenían el mismo tamaño y estaban divididas en 10 porciones iguales cada una.

  • De la empanada de zamburiñas, compraste 4 porciones, lo que se representa con la fracción \(\frac{4}{10}\)​.
  • De la empanada de pulpo, compraste 7 porciones, es decir, \(\frac{7}{10}\)​ del total.

En este caso, es muy fácil saber de qué empanada te llevaste más.

Como las dos empanadas estaban cortadas en el mismo número de partes (el denominador es el mismo), solo tienes que fijarte en la cantidad de porciones que cogiste.

Como 7 es mayor que 4, te llevaste más empanada de pulpo.

Mismo denominador

Si las fracciones tiene el mismo denominador: 

  1. Fíjate en el numerador. 
  2. A mayor numerador, mayor es la fracción. 

Rectángulo dividido en diez partes con cuatro coloreadas de rojo.          Rectángulo dividido en diez partes con siete de ellas coloreadas de rojo.

  • Las fracciones son \(\frac{4}{10}\) y \(\frac{7}{10}\).
  • La unidad está dividida en partes iguales, 10. 
  • Están pintadas más partes en la que tiene mayor numerador, \(7>4\). 
  • Entonces, \(\frac{4}{10}\) < \(\frac{7}{10}\).

Atún vs Carne

En el mercado, dos empanadas de atún y pulpo del mismo tamaño, pero cortadas en porciones diferentes.

Tú solo quieres llevarte seis trozos de cada una.

  • La empanada de atún está cortada en 12 porciones iguales.
  • La empanada de pulpo está cortada en 24 porciones iguales.

Te llevas 6 porciones de cada empanada. Es decir, te llevas \(\frac{6}{12}\) de la empanada de atún y \(\frac{6}{24}\)​​ de la empanada de pulpo.

Si divides la empanada en más porciones, consigues trozos más pequeños. Entonces, si eliges el mismo número de partes de cada una, tendrás más si los trozos son más grandes, es decir si el denominador es más pequeño. 

Mismo numerador

Si las fracciones tienen el mismo numerador: 

  1. Fíjate en el denominador. 
  2. A mayor denominador, menor es la fracción. 

 Rectángulo dividido en 12 partes con 6 de ellas coloreadas de verde. Rectángulo con 6 partes coloreadas y dividido en 24 partes

  • Las fracciones son \(\frac{6}{12}\) y \(\frac{6}{24}\).
  • La unidad está dividida en 12 y 24 partes respectivamente, \(24>12\). 
  • Están pintadas el mismo número de partes, 6. 
  • Entonces,\(\frac{6}{12}\) > \(\frac{6}{24}\) .

El trozo más grande

Ordena las siguientes fracciones de la más grande a la más pequeña.

  • 8/8
  • 6/8
  • 4/8
  • 3/8
  • 2/8
  • 1/8

Comprobar

¡Correcto!

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Actividad no completada#Actividad superada. Puntuación: %s#Actividad no superada. Puntuación: %s#Lista desordenada

No es correcto... Respuesta correcta:

Compara los trozos de empanada

Utiliza el signo para indicar que fracción es mayor.

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\(\frac{3}{4}\) @@>@@\(\frac{1}{4}\) \(\frac{2}{6}\) @@>@@\(\frac{4}{6}\) \(\frac{2}{9}\) @@>@@\(\frac{2}{5}\)
\(\frac{6}{8}\) @@>@@\(\frac{6}{12}\) \(\frac{5}{11}\) @@<@@\(\frac{5}{7}\) \(\frac{3}{14}\) @@<@@\(\frac{7}{14}\)
\(\frac{7}{10}\) @@<@@\(\frac{9}{10}\) \(\frac{6}{9}\) @@<@@\(\frac{6}{5}\) \(\frac{2}{7}\) @@<@@\(\frac{5}{7}\)
\(\frac{3}{5}\) @@<@@\(\frac{3}{4}\) \(\frac{6}{11}\) @@>@@\(\frac{6}{15}\) \(\frac{10}{15}\) @@>@@\(\frac{8}{15}\)
Su navegador no es compatible con esta herramienta.

¿Juegas a comparar fracciones?

Tienes cuatro deslizadores, dos de color verdoso y dos de color rojizo. Cada pareja corresponde a la circunferencia de su color.

El deslizador superior es el del numerador y el inferior el del denominador. Crea dos fracciones y compáralas.

Puedes hacer clic en el icono triangular (play) inferior izquierdo, o bien deslizar los puntos de "slide me for de nominator" y comparar las fracciones.

Puedes hacerlo cuantas veces quieras.

https://www.geogebra.org/m/buc5cwwa (Ventana nueva)

Proxecto%20cREAgal,https%3A//www.geogebra.org/m/buc5cwwa,Fracciones%20equivalentes,1,Autor%EDa
Actividad%20no%20completada,Actividad%20superada.%20Puntuaci%F3n%3A%20%25s,Actividad%20no%20superada.%20Puntuaci%F3n%3A%20%25s,Guardar%20la%20puntuaci%F3n

¿Quién compró más?

Lee el texto y completa las palabras que faltan.

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Como tarea estos días teníais que ir a comprar un trozo de Tarta de Santiago al mercado de vuestra zona. 

Pero, ¿Quién compró más?

Cada miembro dice la porción que compró:

  • Jefe/a de compras: \(\frac{3}{8}\) de tarta.
  • Encargado/a del reparto: \(\frac{3}{4}\) de tarta.
  • Coordinador/a: \(\frac{1}{8}\) de tarta.

Entonces, @@la encargada del reparto@@ compró más que @@la jefa de compras@@, pero quien menos compró fue @@el coordinador@@.

Su navegador no es compatible con esta herramienta.

Creado con eXeLearning (Ventana nueva)