15/2 \div 5/6

解

\frac{15}{2} \div \frac{5}{6}

9

解答ステップ

\frac{15}{2} \div \frac{5}{6}

分数の規則を適用する:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{15}{2} \times \frac{6}{5}

分数を乗じる:

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

= \frac{15 \times 6}{2 \times 5}

数を乗じる:

15 \times 6 = 90

= \frac{90}{2 \times 5}

数を乗じる:

2 \times 5 = 10

= \frac{90}{10}

数を割る:

\frac{90}{10} = 9

= 9