**Решение:**
1) \(7 \cdot \frac{4}{37} = \frac{7 \cdot 4}{37} = \frac{28}{37}\)
2) \(\frac{7}{15} \cdot 9 = \frac{7 \cdot 9}{15} = \frac{7 \cdot 3}{5} = \frac{21}{5} = 4\frac{1}{5}\)
3) \(\frac{8}{13} \cdot 26 = \frac{8 \cdot 26}{13} = 8 \cdot 2 = 16\)
4) \(\frac{4}{8} \cdot \frac{8}{9} = \frac{4 \cdot 8}{8 \cdot 9} = \frac{4}{9}\)
5) \(4 \frac{2}{12} \cdot \frac{11}{12} = \frac{50}{12} \cdot \frac{11}{12} = \frac{25}{6} \cdot \frac{11}{12} = \frac{275}{72} = 3\frac{59}{72}\)
6) \(1 \frac{1}{13} \cdot 8 \cdot \frac{1}{7} = \frac{14}{13} \cdot 8 \cdot \frac{1}{7} = \frac{2}{13} \cdot 8 = \frac{16}{13} = 1\frac{3}{13}\)
**Ответ:**
1) \(\frac{28}{37}\); 2) \(4\frac{1}{5}\); 3) \(16\); 4) \(\frac{4}{9}\); 5) \(3\frac{59}{72}\); 6) \(1\frac{3}{13}\)