zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的代数 >

化简 (-2/3 (1/4))/((5/6)(-3/4))

解答

化简

\frac{- \frac{2}{3} ( \frac{1}{4} )}{( \frac{5}{6} ) ( - \frac{3}{4} )}

解答

\frac{4}{15}

+1

十进制

0.26666 \dots

求解步骤

\frac{- \frac{2}{3} ( \frac{1}{4} )}{( \frac{5}{6} ) ( - \frac{3}{4} )}

\frac{- \frac{2}{3} ( \frac{1}{4} )}{( \frac{5}{6} ) ( - \frac{3}{4} )} = \frac{- \frac{2}{3} \cdot \frac{1}{4}}{\frac{5}{6} ( - \frac{3}{4} )}

= \frac{- \frac{2}{3} \cdot \frac{1}{4}}{\frac{5}{6} ( - \frac{3}{4} )}

使用分式法则:

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

= - \frac{\frac{2}{3} \cdot \frac{1}{4}}{\frac{5}{6} ( - \frac{3}{4} )}

使用法则:

a (- b) = - ab

\frac{5}{6} (- \frac{3}{4}) = - \frac{5}{6} \cdot \frac{3}{4}

= - \frac{\frac{2}{3} \cdot \frac{1}{4}}{- \frac{5}{6} \cdot \frac{3}{4}}

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

= - \frac{\frac{1}{6}}{- \frac{5}{6} \cdot \frac{3}{4}}

- \frac{5}{6} \cdot \frac{3}{4} = - \frac{5}{8}

= - \frac{\frac{1}{6}}{- \frac{5}{8}}

使用分式法则:

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

\frac{\frac{1}{6}}{- \frac{5}{8}} = - \frac{\frac{1}{6}}{\frac{5}{8}}

= - (- \frac{\frac{1}{6}}{\frac{5}{8}})

使用法则:

- (- a) = a

- (- \frac{\frac{1}{6}}{\frac{5}{8}}) = \frac{\frac{1}{6}}{\frac{5}{8}}

= \frac{\frac{1}{6}}{\frac{5}{8}}

使用分式法则:

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

= \frac{1 \cdot 8}{6 \cdot 5}

消掉

\frac{1 \cdot 8}{6 \cdot 5} : \frac{4}{15}

= \frac{4}{15}

流行的例子

化简 sin(x)+sin(x)

s im pl i f y sin (x) + sin (x)

9 \frac{1}{2}

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

化简 x/(sqrt(x^2+1))

s im pl i f y \frac{x}{x ^{2} + 1}

s im pl i f y f (5)