Natürliche Zahl mal Bruch - Rechenregel erkennen

[br]Wie lautet das Produkt der Multiplikation? [br][math]5·\frac{3}{20}=[/math]
Ermittle das Produkt.[br][math]2·\frac{2}{7}=[/math]
Wie lautet das Produkt der Multiplikation? [br][math]12·\frac{5}{9}=[/math]
Milos war nicht in der Schule, als die Klasse gelernt hat, wie eine natürliche Zahl mit einem Bruch multipliziert wird. [br]Erkläre Milos anhand des Beispiels [math]4·\frac{2}{10}[/math]wie bei der Multiplikation von natürlicher Zahl mal Bruch gerechnet werden kann.
Hawa ist bei der Berechnung ein Fehler unterlaufen.[br][img]data:image/png;base64,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[/img][br]Beschreibe Hawas Fehler und stelle das Ergebnis richtig.
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Information: Natürliche Zahl mal Bruch - Rechenregel erkennen