Вычислите: 1) $$1\frac{1}{4}:2\frac{1}{7} \cdot 1\frac{1}{2}$$; 2) $$4\frac{1}{3} \cdot 1\frac{7}{8}: \frac{13}{15}$$; 3) $$1\frac{3}{7}: \frac{11}{15}: 4\frac{5}{7}$$; 4) $$\frac{16}{7}:3\frac{3}{4}: \frac{4}{9}$$

Выполним вычисления: 1) $$1\frac{1}{4}:2\frac{1}{7} \cdot 1\frac{1}{2} = \frac{5}{4}:\frac{15}{7} \cdot \frac{3}{2} = \frac{5}{4} \cdot \frac{7}{15} \cdot \frac{3}{2} = \frac{5 \cdot 7 \cdot 3}{4 \cdot 15 \cdot 2} = \frac{105}{120} = \frac{7}{8}$$ <p><strong>Ответ: $$\frac{7}{8}$$</strong></p> 2) $$4\frac{1}{3} \cdot 1\frac{7}{8}: \frac{13}{15} = \frac{13}{3} \cdot \frac{15}{8}: \frac{13}{15} = \frac{13 \cdot 15}{3 \cdot 8} \cdot \frac{15}{13} = \frac{13 \cdot 15 \cdot 15}{3 \cdot 8 \cdot 13} = \frac{15 \cdot 5}{8} = \frac{75}{8} = 9\frac{3}{8}$$ <p><strong>Ответ: $$9\frac{3}{8}$$</strong></p> 3) $$1\frac{3}{7}: \frac{11}{15}: 4\frac{5}{7} = \frac{10}{7}: \frac{11}{15}: \frac{33}{7} = \frac{10}{7} \cdot \frac{15}{11} \cdot \frac{7}{33} = \frac{10 \cdot 15 \cdot 7}{7 \cdot 11 \cdot 33} = \frac{10 \cdot 15}{11 \cdot 33} = \frac{150}{363} = \frac{50}{121}$$ <p><strong>Ответ: $$\frac{50}{121}$$</strong></p> 4) $$\frac{16}{7}:3\frac{3}{4}: \frac{4}{9} = \frac{16}{7}: \frac{15}{4}: \frac{4}{9} = \frac{16}{7} \cdot \frac{4}{15} \cdot \frac{9}{4} = \frac{16 \cdot 4 \cdot 9}{7 \cdot 15 \cdot 4} = \frac{16 \cdot 9}{7 \cdot 15} = \frac{144}{105} = \frac{48}{35} = 1\frac{13}{35}$$ <p><strong>Ответ: $$1\frac{13}{35}$$</strong></p>