erweitern ((9/10 x+2/5)9)/(10)+2/5

Lösung

erweitern

\frac{( \frac{9}{10} x + \frac{2}{5} ) 9}{10} + \frac{2}{5}

\frac{81 x}{100} + \frac{9}{25} + \frac{2}{5}

Schritte zur Lösung

\frac{( \frac{9}{10} x + \frac{2}{5} ) \cdot 9}{10} + \frac{2}{5}

\frac{( \frac{9}{10} x + \frac{2}{5} ) \cdot 9}{10} = \frac{9 \cdot \frac{9 x + 4}{10}}{10}

= \frac{9 \cdot \frac{9 x + 4}{10}}{10} + \frac{2}{5}

\frac{\frac{9 x + 4}{10} \cdot 9}{10} = \frac{81 x + 36}{100}

= \frac{81 x + 36}{100} + \frac{2}{5}

Wende Bruchregel an:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{81 x + 36}{100} = \frac{81 x}{100} + \frac{36}{100}

= \frac{81 x}{100} + \frac{36}{100} + \frac{2}{5}

Streiche

\frac{36}{100} : \frac{9}{25}

= \frac{81 x}{100} + \frac{9}{25} + \frac{2}{5}

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