vereinfachen (5/8+3/4}{\frac{-2)/3-5/6}

Lösung

vereinfachen

\frac{\frac{5}{8} + \frac{3}{4}}{\frac{- 2}{3} - \frac{5}{6}}

- \frac{11}{12}

Dezimale

- 0.91666 \dots

Schritte zur Lösung

\frac{\frac{5}{8} + \frac{3}{4}}{\frac{- 2}{3} - \frac{5}{6}}

Wende Bruchregel an:

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

\frac{- 2}{3} = - \frac{2}{3}

= \frac{\frac{5}{8} + \frac{3}{4}}{- \frac{2}{3} - \frac{5}{6}}

\frac{5}{8} + \frac{3}{4} = \frac{11}{8}

= \frac{\frac{11}{8}}{- \frac{2}{3} - \frac{5}{6}}

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

= \frac{\frac{11}{8}}{- \frac{3}{2}}

Wende Bruchregel an:

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

= - \frac{\frac{11}{8}}{\frac{3}{2}}

Wende Bruchregel an:

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

\frac{\frac{11}{8}}{\frac{3}{2}} = \frac{11 \cdot 2}{8 \cdot 3}

= - \frac{11 \cdot 2}{8 \cdot 3}

Streiche

- \frac{11 \cdot 2}{8 \cdot 3} : - \frac{11}{12}

= - \frac{11}{12}

s im pl i f y 2 \cdot 1 0^{- 10}

s im pl i f y (5 y^{2} + 3 y) + (5 y - \frac{1}{4} y^{2}) + (\frac{1}{3} y^{2} + y)

s im pl i f y \frac{3 6 4}{6 81}

s im pl i f y \frac{42}{6}

\frac{2}{3} \div \frac{7}{8}