1) $$9\frac{3}{5} \cdot \frac{10}{21} = \frac{48}{5} \cdot \frac{10}{21} = \frac{16}{1} \cdot \frac{2}{7} = \frac{32}{7} = 4\frac{4}{7}$$
2) $$3\frac{11}{12} \cdot \frac{9}{94} = \frac{47}{12} \cdot \frac{9}{94} = \frac{1}{4} \cdot \frac{3}{2} = \frac{3}{8}$$
3) $$1\frac{5}{8} \cdot 6\frac{1}{4} = \frac{13}{8} \cdot \frac{25}{4} = \frac{325}{32} = 10\frac{5}{32}$$
4) $$3\frac{5}{9} \cdot 5\frac{1}{4} = \frac{32}{9} \cdot \frac{21}{4} = \frac{8}{3} \cdot \frac{7}{1} = \frac{56}{3} = 18\frac{2}{3}$$
5) $$15\frac{13}{15} \cdot 5\frac{2}{7} = \frac{238}{15} \cdot \frac{37}{7} = \frac{34}{15} \cdot \frac{37}{1} = \frac{1258}{15} = 83\frac{13}{15}$$
6) $$2\frac{4}{27} \cdot 4\frac{1}{3} = \frac{58}{27} \cdot \frac{13}{3} = \frac{754}{81} = 9\frac{25}{81}$$