Вычислите: а) \(\frac{5}{8}\cdot 2\frac{2}{3}\); б) \(\frac{5}{16}\cdot\frac{12}{13}\cdot\frac{13}{24}\cdot\frac{16}{25}\); в) \(2\frac{2}{15}\cdot 1\frac{1}{16}\); г) \(1\frac{3}{4}\cdot 1\frac{1}{14}\).

1. \(\frac{5}{8}\cdot 2\frac{2}{3}=\frac{5}{8}\cdot\frac{8}{3}=\frac{5}{3}=1\frac{2}{3}\).
2. \(\frac{5}{16}\cdot\frac{12}{13}\cdot\frac{13}{24}\cdot\frac{16}{25}=\frac{5\cdot12\cdot13\cdot16}{16\cdot13\cdot24\cdot25}=\frac{1}{10}\).
3. \(2\frac{2}{15}\cdot1\frac{1}{16}=\frac{32}{15}\cdot\frac{17}{16}=\frac{2\cdot17}{15}=\frac{34}{15}=2\frac{4}{15}\).
4. \(1\frac{3}{4}\cdot1\frac{1}{14}=\frac{7}{4}\cdot\frac{15}{14}=\frac{15}{8}=1\frac{7}{8}\).

Ответ: а) \(1\frac{2}{3}\); б) \(\frac{1}{10}\); в) \(2\frac{4}{15}\); г) \(1\frac{7}{8}\).