簡約 ((a-4+4/d))/((1-2/9))

解

簡約

\frac{( a - 4 + \frac{4}{d} )}{( 1 - \frac{2}{9} )}

\frac{9 ( a d - 4 d + 4 )}{7 d}

解答ステップ

\frac{a - 4 + \frac{4}{d}}{1 - \frac{2}{9}}

結合

a - 4 + \frac{4}{d} : \frac{a d - 4 d + 4}{d}

= \frac{\frac{a d - 4 d + 4}{d}}{1 - \frac{2}{9}}

1 - \frac{2}{9} = \frac{7}{9}

= \frac{\frac{a d - 4 d + 4}{d}}{\frac{7}{9}}

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{( a d - 4 d + 4 ) \cdot 9}{d \cdot 7}

= \frac{9 ( a d - 4 d + 4 )}{7 d}