2. Вычислите: а) 4 1/6 · 3 2/5; б) 1 2/13 · 1 4/11; в) 2 2/3 · 1 1/8 : 6 2/3.

а) \(4\frac{1}{6}=\frac{25}{6}\), \(3\frac{2}{5}=\frac{17}{5}\).

\(\frac{25}{6}\cdot\frac{17}{5}=\frac{85}{6}=14\frac{1}{6}\).

б) \(1\frac{2}{13}=\frac{15}{13}\), \(1\frac{4}{11}=\frac{15}{11}\).

\(\frac{15}{13}\cdot\frac{15}{11}=\frac{225}{143}=1\frac{82}{143}\).

в) \(2\frac{2}{3}=\frac{8}{3}\), \(1\frac{1}{8}=\frac{9}{8}\), \(6\frac{2}{3}=\frac{20}{3}\).

\(\frac{8}{3}\cdot\frac{9}{8}:\frac{20}{3}=3\cdot\frac{3}{20}=\frac{9}{20}\).

Ответ: а) \(14\frac{1}{6}\); б) \(1\frac{82}{143}\); в) \(\frac{9}{20}\).