Решение:
- 1) \( 4\frac{1}{3} \cdot \frac{3}{10} = \frac{13}{3} \cdot \frac{3}{10} = \frac{13}{10} = 1\frac{3}{10} \)
- 2) \( 2 \cdot \frac{5}{6} = \frac{2}{1} \cdot \frac{5}{6} = \frac{1}{1} \cdot \frac{5}{3} = \frac{5}{3} = 1\frac{2}{3} \)
- 3) \( 2\frac{2}{5} \cdot 15 = \frac{12}{5} \cdot 15 = 12 \cdot 3 = 36 \)
- 4) \( 3\frac{1}{2} \cdot 4\frac{2}{3} = \frac{7}{2} \cdot \frac{14}{3} = \frac{7}{1} \cdot \frac{7}{3} = \frac{49}{3} = 16\frac{1}{3} \)
Ответ: 1) \(1\frac{3}{10}\); 2) \(1\frac{2}{3}\); 3) 36; 4) \(16\frac{1}{3}\).