簡約 (1/7 x+3/8)+(2/9 x-1/8)

解

簡約

(\frac{1}{7} x + \frac{3}{8}) + (\frac{2}{9} x - \frac{1}{8})

\frac{23 x}{63} + \frac{1}{4}

解答ステップ

(\frac{1}{7} x + \frac{3}{8}) + (\frac{2}{9} x - \frac{1}{8})

簡素化

(\frac{1}{7} x + \frac{3}{8}) + (\frac{2}{9} x - \frac{1}{8}) : \frac{1}{7} x + \frac{3}{8} + \frac{2}{9} x - \frac{1}{8}

= \frac{1}{7} x + \frac{3}{8} + \frac{2}{9} x - \frac{1}{8}

共通項をくくり出す

x

= x (\frac{1}{7} + \frac{2}{9}) + \frac{3}{8} - \frac{1}{8}

\frac{1}{7} + \frac{2}{9} = \frac{23}{63}

= x \frac{23}{63} + \frac{3}{8} - \frac{1}{8}

結合

x \frac{23}{63} + \frac{3}{8} - \frac{1}{8} : \frac{23}{63} x + \frac{1}{4}

= \frac{23}{63} x + \frac{1}{4}

簡素化

\frac{23}{63} x : \frac{23 x}{63}

= \frac{23 x}{63} + \frac{1}{4}