1) \(9\frac{3}{7} \cdot \frac{5}{22} = \frac{66}{7} \cdot \frac{5}{22} = \frac{66 \cdot 5}{7 \cdot 22} = \frac{330}{154} = \frac{15}{7} = 2\frac{1}{7}\)
2) \(6\frac{3}{8} \cdot \frac{16}{17} = \frac{51}{8} \cdot \frac{16}{17} = \frac{51 \cdot 16}{8 \cdot 17} = \frac{816}{136} = 6\)
3) \(2\frac{1}{3} \cdot 1\frac{1}{5} = \frac{7}{3} \cdot \frac{6}{5} = \frac{7 \cdot 6}{3 \cdot 5} = \frac{42}{15} = \frac{14}{5} = 2\frac{4}{5}\)
4) \(19 \cdot 1\frac{1}{2} = 19 \cdot \frac{3}{2} = \frac{19 \cdot 3}{2} = \frac{57}{2} = 28\frac{1}{2}\)
5) \(2\frac{1}{4} \cdot 2\frac{2}{27} = \frac{9}{4} \cdot \frac{56}{27} = \frac{9 \cdot 56}{4 \cdot 27} = \frac{504}{108} = \frac{14}{3} = 4\frac{2}{3}\)
6) \(2\frac{8}{11} \cdot 5\frac{2}{15} = \frac{30}{11} \cdot \frac{77}{15} = \frac{30 \cdot 77}{11 \cdot 15} = \frac{2310}{165} = 14\)
7) \(9 \cdot 1\frac{1}{14} \cdot 1\frac{1}{5} = 9 \cdot \frac{15}{14} \cdot \frac{6}{5} = \frac{9 \cdot 15 \cdot 6}{14 \cdot 5} = \frac{810}{70} = \frac{81}{7} = 11\frac{4}{7}\)
8) \(2\frac{2}{3} \cdot 1\frac{1}{2} \cdot \frac{5}{24} = \frac{8}{3} \cdot \frac{3}{2} \cdot \frac{5}{24} = \frac{8 \cdot 3 \cdot 5}{3 \cdot 2 \cdot 24} = \frac{120}{144} = \frac{5}{6}\)