簡約 2/5-2/7 0.76+1/2 (0.76+1/3)

解

簡約

\frac{2}{5} - \frac{2}{7} 0.76 + \frac{1}{2} (0.76 + \frac{1}{3})

\frac{383}{525}

十進法表記

0.72952 \dots

解答ステップ

\frac{2}{5} - \frac{2}{7} \cdot 0.76 + \frac{1}{2} (0.76 + \frac{1}{3})

0.76 = \frac{19}{25}

= \frac{2}{5} - \frac{2}{7} \cdot \frac{19}{25} + \frac{1}{2} (0.76 + \frac{1}{3})

\frac{2}{7} \cdot \frac{19}{25} = \frac{38}{175}

\frac{1}{2} (0.76 + \frac{1}{3}) = \frac{41}{75}

= \frac{2}{5} - \frac{38}{175} + \frac{41}{75}

\frac{2}{5} - \frac{38}{175} + \frac{41}{75} = \frac{383}{525}

= \frac{383}{525}