9/11 \div 11/12

解

\frac{9}{11} \div \frac{11}{12}

\frac{108}{121}

十進法表記

0.89256 \dots

解答ステップ

\frac{9}{11} \div \frac{11}{12}

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{9}{11} \times \frac{12}{11}

分数を乗じる:

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

= \frac{9 \times 12}{11 \times 11}

数を乗じる:

9 \times 12 = 108

= \frac{108}{11 \times 11}

数を乗じる:

11 \times 11 = 121

= \frac{108}{121}