簡約 2/5 (1/3 x-15/8)-1/3 (1/2-2/3 x)

解

簡約

\frac{2}{5} (\frac{1}{3} x - \frac{15}{8}) - \frac{1}{3} (\frac{1}{2} - \frac{2}{3} x)

\frac{64 x - 165}{180}

解答ステップ

\frac{2}{5} (\frac{1}{3} x - \frac{15}{8}) - \frac{1}{3} (\frac{1}{2} - \frac{2}{3} x)

\frac{2}{5} (\frac{1}{3} x - \frac{15}{8}) = \frac{x \cdot 8 - 45}{60}

\frac{1}{3} (\frac{1}{2} - \frac{2}{3} x) = \frac{3 - 4 x}{18}

= \frac{x \cdot 8 - 45}{60} - \frac{3 - 4 x}{18}

結合

\frac{x \cdot 8 - 45}{60} - \frac{3 - 4 x}{18} : \frac{64 x - 165}{180}

= \frac{64 x - 165}{180}