簡約 (15c)/(12(d-3))*(21d)/(6c)

解

簡約

\frac{15 c}{12 ( d - 3 )} \cdot \frac{21 d}{6 c}

\frac{35 d}{8 ( d - 3 )}

解答ステップ

\frac{15 c}{12 ( d - 3 )} \cdot \frac{21 d}{6 c}

キャンセル

\frac{15 c}{12 ( d - 3 )} : \frac{5 c}{4 ( d - 3 )}

= \frac{5 c}{4 ( d - 3 )} \cdot \frac{21 d}{6 c}

キャンセル

\frac{21 d}{6 c} : \frac{7 d}{2 c}

= \frac{5 c}{4 ( d - 3 )} \cdot \frac{7 d}{2 c}

分数の規則を適用する:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{5 c \cdot 7 d}{4 ( d - 3 ) \cdot 2 c}

共通因数を約分する:

c

= \frac{5 \cdot 7 d}{4 ( d - 3 ) \cdot 2}

数を乗じる:

5 \cdot 7 = 35

= \frac{35 d}{4 ( d - 3 ) \cdot 2}

数を乗じる:

4 \cdot 2 = 8

= \frac{35 d}{8 ( d - 3 )}