vereinfachen (3/12+7/8 (3/4+2/3))/((-1/3)^3)

Lösung

vereinfachen

\frac{\frac{3}{12} + \frac{7}{8} ( \frac{3}{4} + \frac{2}{3} )}{( - \frac{1}{3} ) ^{3}}

- \frac{1287}{32}

Dezimale

- 40.21875

Schritte zur Lösung

\frac{\frac{3}{12} + \frac{7}{8} ( \frac{3}{4} + \frac{2}{3} )}{( - \frac{1}{3} ) ^{3}}

\frac{3}{12} + \frac{7}{8} (\frac{3}{4} + \frac{2}{3}) = \frac{143}{96}

= \frac{\frac{143}{96}}{( - \frac{1}{3} ) ^{3}}

(- \frac{1}{3})^{3} = - \frac{1}{27}

= \frac{\frac{143}{96}}{- \frac{1}{27}}

Wende Bruchregel an:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{\frac{143}{96}}{\frac{1}{27}}

Wende Bruchregel an:

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

\frac{\frac{143}{96}}{\frac{1}{27}} = \frac{143 \cdot 27}{96 \cdot 1}

= - \frac{143 \cdot 27}{96 \cdot 1}

Streiche

- \frac{143 \cdot 27}{96 \cdot 1} : - \frac{1287}{32}

= - \frac{1287}{32}

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