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受欢迎的代数 >

化简 (5/8+3/4}{\frac{-2)/3-5/6}

解答

化简

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

解答

- \frac{11}{12}

+1

十进制

- 0.91666 \dots

求解步骤

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

使用分式法则:

\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}}

使用分式法则:

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

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

使用分式法则:

\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}

消掉

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

= - \frac{11}{12}

流行的例子

化简 2*10^{-10}

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

化简 (5y^2+3y)+(5y-1/4 y^2)+(1/3 y^2+y)

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

化简 (3\sqrt[6]{4})/(\sqrt[6]{81)}

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

化简 (sqrt(42))/(sqrt(6))

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

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