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

a) $$\frac{4}{7}:\frac{16}{49} = \frac{4}{7} \cdot \frac{49}{16} = \frac{4 \cdot 49}{7 \cdot 16} = \frac{1 \cdot 7}{1 \cdot 4} = \frac{7}{4} = 1\frac{3}{4}$$ <p><strong>Ответ:</strong> $$1\frac{3}{4}$$</p> б) $$\frac{5}{9}:1\frac{1}{2} = \frac{5}{9}:\frac{3}{2} = \frac{5}{9} \cdot \frac{2}{3} = \frac{5 \cdot 2}{9 \cdot 3} = \frac{10}{27}$$ <p><strong>Ответ:</strong> $$\frac{10}{27}$$</p> в) $$\frac{12}{25}:\frac{8}{15} = \frac{12}{25} \cdot \frac{15}{8} = \frac{12 \cdot 15}{25 \cdot 8} = \frac{3 \cdot 3}{5 \cdot 2} = \frac{9}{10}$$ <p><strong>Ответ:</strong> $$\frac{9}{10}$$</p> г) $$\frac{9}{14}:\frac{18}{35} = \frac{9}{14} \cdot \frac{35}{18} = \frac{9 \cdot 35}{14 \cdot 18} = \frac{1 \cdot 5}{2 \cdot 2} = \frac{5}{4} = 1\frac{1}{4}$$ <p><strong>Ответ:</strong> $$1\frac{1}{4}$$</p>