What is (5/8+3/4)/(-2/3-5/6) ?

The solution to (5/8+3/4)/(-2/3-5/6) is -11/12

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simplify (5/8+3/4)/(-2/3-5/6)

simplify

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

- \frac{11}{12}

Decimal Notation

- 0.91666 \dots

Solution steps

\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}}

Apply the fraction rule:

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

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

Apply the fraction rule:

\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}

Cancel

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

= - \frac{11}{12}

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