vereinfachen (4/3-2/6*7/2)/(2/3+5/6)

Lösung

vereinfachen

\frac{\frac{4}{3} - \frac{2}{6} \cdot \frac{7}{2}}{\frac{2}{3} + \frac{5}{6}}

\frac{1}{9}

Dezimale

0.11111 \dots

Schritte zur Lösung

\frac{\frac{4}{3} - \frac{2}{6} \cdot \frac{7}{2}}{\frac{2}{3} + \frac{5}{6}}

\frac{4}{3} - \frac{2}{6} \cdot \frac{7}{2} = \frac{1}{6}

= \frac{\frac{1}{6}}{\frac{2}{3} + \frac{5}{6}}

\frac{2}{3} + \frac{5}{6} = \frac{3}{2}

= \frac{\frac{1}{6}}{\frac{3}{2}}

Wende Bruchregel an:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{1 \cdot 2}{6 \cdot 3}

Streiche

\frac{1 \cdot 2}{6 \cdot 3} : \frac{1}{9}

= \frac{1}{9}

s im pl i f y \frac{2}{7 + 2}

f a c t or x^{2} - 2 x y + y^{2} - 1

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e x p an d (1 + 2 x^{3})^{5}

s im pl i f y (x + 4) (x - 2) + (x - 6) (x + 4) - 2 x^{2}