化简 (3/4+7/8)/(2/5-8/9)

解答

化简

\frac{\frac{3}{4} + \frac{7}{8}}{\frac{2}{5} - \frac{8}{9}}

- \frac{585}{176}

十进制

- 3.32386 \dots

求解步骤

\frac{\frac{3}{4} + \frac{7}{8}}{\frac{2}{5} - \frac{8}{9}}

\frac{3}{4} + \frac{7}{8} = \frac{13}{8}

= \frac{\frac{13}{8}}{\frac{2}{5} - \frac{8}{9}}

\frac{2}{5} - \frac{8}{9} = - \frac{22}{45}

= \frac{\frac{13}{8}}{- \frac{22}{45}}

使用分式法则:

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

= - \frac{\frac{13}{8}}{\frac{22}{45}}

使用分式法则:

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

\frac{\frac{13}{8}}{\frac{22}{45}} = \frac{13 \cdot 45}{8 \cdot 22}

= - \frac{13 \cdot 45}{8 \cdot 22}

数字相乘:

13 \cdot 45 = 585

= - \frac{585}{8 \cdot 22}

数字相乘:

8 \cdot 22 = 176

= - \frac{585}{176}

s im pl i f y 524 + 23 + 46

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s im pl i f y \frac{18}{16}

s im pl i f y \frac{i ^{12} + i ^{16} - 2 i ^{18}}{i ^{8} + i ^{10}}

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