簡約 (3/4+7/8)/(2/5-8/9)

解

簡約

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

- \frac{585}{176}

十進法表記

- 3.32386 \dots

解答ステップ

\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}}

分数の規則を適用する:

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

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

分数の規則を適用する:

\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}

数を乗じる:

13 \cdot 45 = 585

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

数を乗じる:

8 \cdot 22 = 176

= - \frac{585}{176}