Problema

A simplificar se aprende...

En muchas páginas de Internet aparece esta situación como algo tremendo.

Un alumno trabajando con fracciones comete el "aparente" error de simplificación que a continuación señalamos:

[math] \frac{2\not{6}}{\not{6}5}=\frac{2}{5} [/math]

La simplificación por 13 de numerador y denominador también resulta [math] \frac{2}{5} [/math] , con lo cual el alumno supone que su simplificación es correcta.

  • ¿Cómo evaluaría un profesor ese resultado?

El alumno se entusiasmó e hizo lo mismo para el siguiente caso:

[math] \frac{1\not{3}}{\not{3}2}=\frac{1}{2} [/math]

Y no le resultó porque como 13 y 32 son coprimos, no hay simplificación posible.

¡Pobre pibe!

Ahora él supone que su primera simplificación es única.

Por lo tanto, te proponemos averigües:

  • ¿Cuántas fracciones con números de dos dígitos distintos en el numerador e igual condición en el denominador pueden simplificarse de la forma como lo hizo el alumno y obtener una fracción equivalente a la dada?.-

ÉSTE ES EL DESAFíO. ¡ADELANTE!. NOS ESTAMOS COMUNICANDO.

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