簡約 13/93/2-7/62/3-3/2*5/9

解

簡約

\frac{13}{9} \cdot \frac{3}{2} - \frac{7}{6} \cdot \frac{2}{3} - \frac{3}{2} \cdot \frac{5}{9}

\frac{5}{9}

十進法表記

0.55555 \dots

解答ステップ

\frac{13}{9} \cdot \frac{3}{2} - \frac{7}{6} \cdot \frac{2}{3} - \frac{3}{2} \cdot \frac{5}{9}

\frac{13}{9} \cdot \frac{3}{2} = \frac{13}{6}

\frac{7}{6} \cdot \frac{2}{3} = \frac{7}{9}

\frac{3}{2} \cdot \frac{5}{9} = \frac{5}{6}

= \frac{13}{6} - \frac{7}{9} - \frac{5}{6}

\frac{13}{6} - \frac{7}{9} - \frac{5}{6} = \frac{5}{9}

= \frac{5}{9}