2.417 Найдите частное: a) $$\frac{4}{7}: \frac{16}{49}$$; б) $$\frac{5}{9}: \frac{1}{2}$$; в) $$\frac{12}{25}: \frac{8}{15}$$; г) $$\frac{9}{14}: \frac{18}{35}$$

$$\frac{4}{7}: \frac{16}{49} = \frac{4}{7} \cdot \frac{49}{16} = \frac{4 \cdot 7 \cdot 7}{7 \cdot 4 \cdot 4} = \frac{7}{4} = 1\frac{3}{4}$$ $$\frac{5}{9}: \frac{1}{2} = \frac{5}{9} \cdot \frac{2}{1} = \frac{5 \cdot 2}{9} = \frac{10}{9} = 1\frac{1}{9}$$ $$\frac{12}{25}: \frac{8}{15} = \frac{12}{25} \cdot \frac{15}{8} = \frac{3 \cdot 4 \cdot 3 \cdot 5}{5 \cdot 5 \cdot 2 \cdot 4} = \frac{9}{10}$$ $$\frac{9}{14}: \frac{18}{35} = \frac{9}{14} \cdot \frac{35}{18} = \frac{9 \cdot 5 \cdot 7}{2 \cdot 7 \cdot 2 \cdot 9} = \frac{5}{4} = 1\frac{1}{4}$$