7 1/2 \div 3/4

解

7 \frac{1}{2} \div \frac{3}{4}

10

解答ステップ

7 \frac{1}{2} \div \frac{3}{4}

帯分数を仮分数に変換する:

7 \frac{1}{2} = \frac{15}{2}

= \frac{15}{2} \div \frac{3}{4}

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{4}{3}

分数を乗じる:

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

= \frac{15 \times 4}{2 \times 3}

数を乗じる:

15 \times 4 = 60

= \frac{60}{2 \times 3}

数を乗じる:

2 \times 3 = 6

= \frac{60}{6}

数を割る:

\frac{60}{6} = 10

= 10