7/24 \div 12/14 × 3/7

解答

\frac{7}{24} \div \frac{12}{14} \times \frac{3}{7}

\frac{7}{48}

十进制

0.14583 \dots

求解步骤

\frac{7}{24} \div \frac{12}{14} \times \frac{3}{7}

使用分式法则:

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

= \frac{7}{24} \times \frac{14}{12} \times \frac{3}{7}

分式相乘:

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

= \frac{7 \times 14 \times 3}{24 \times 12 \times 7}

约分:

7

= \frac{14 \times 3}{24 \times 12}

数字相乘:

14 \times 3 = 42

= \frac{42}{24 \times 12}

数字相乘:

24 \times 12 = 288

= \frac{42}{288}

约分:

6

= \frac{7}{48}

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