Régua das Frações

A figura seguinte representa um conjunto de Régua de Frações feito no GeoGebra.[br][br][img]data:image/png;base64,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[/img]
Exercício 1
No applet seguinte represente frações que são equivalentes a [math]\frac{1}{2}[/math]
Exercício 2
No applet seguinte represente frações de [math]\frac{1}{5}[/math] que sejam equivalentes a [math]\frac{6}{10}[/math]
Exercício 3
No applet seguinte temos uma régua que está sem indicação de fração. Determine duas frações equivalentes que possam ser usadas como indicação de fração para a régua.

Information: Régua das Frações