Ответ:
При делении дробей первую дробь умножаем на перевёрнутую вторую дробь.
- \(\frac{1}{4}:\frac{1}{3}=\frac{1}{4}\cdot\frac{3}{1}=\frac{3}{4}\).
- \(\frac{2}{5}:\frac{1}{2}=\frac{2}{5}\cdot\frac{2}{1}=\frac{4}{5}\).
- \(\frac{2}{4}:\frac{2}{3}=\frac{2}{4}\cdot\frac{3}{2}=\frac{6}{8}=\frac{3}{4}\).
- \(\frac{1}{4}:\frac{2}{3}=\frac{1}{4}\cdot\frac{3}{2}=\frac{3}{8}\).
- \(\frac{1}{3}:\frac{3}{4}=\frac{1}{3}\cdot\frac{4}{3}=\frac{4}{9}\).
- \(\frac{3}{6}:\frac{3}{4}=\frac{3}{6}\cdot\frac{4}{3}=\frac{12}{18}=\frac{2}{3}\).
- \(\frac{4}{5}:\frac{5}{6}=\frac{4}{5}\cdot\frac{6}{5}=\frac{24}{25}\).
- \(\frac{3}{8}:\frac{5}{7}=\frac{3}{8}\cdot\frac{7}{5}=\frac{21}{40}\).
- \(\frac{1}{7}:\frac{2}{6}=\frac{1}{7}\cdot\frac{6}{2}=\frac{6}{14}=\frac{3}{7}\).
- \(\frac{3}{9}:\frac{4}{6}=\frac{3}{9}\cdot\frac{6}{4}=\frac{18}{36}=\frac{1}{2}\).
Ответ: \(\frac{3}{4};\ \frac{4}{5};\ \frac{3}{4};\ \frac{3}{8};\ \frac{4}{9};\ \frac{2}{3};\ \frac{24}{25};\ \frac{21}{40};\ \frac{3}{7};\ \frac{1}{2}\).
