1) $$\frac{4}{27} \cdot \frac{9}{16} = \frac{4 \cdot 9}{27 \cdot 16} = \frac{1 \cdot 1}{3 \cdot 4} = \frac{1}{12}$$
2) $$5 \frac{3}{5} \cdot 1 \frac{4}{21} = \frac{5 \cdot 5 + 3}{5} \cdot \frac{1 \cdot 21 + 4}{21} = \frac{28}{5} \cdot \frac{25}{21} = \frac{28 \cdot 25}{5 \cdot 21} = \frac{4 \cdot 5}{1 \cdot 3} = \frac{20}{3} = 6 \frac{2}{3}$$
Ответ: 1) $$\frac{1}{12}$$; 2) $$6 \frac{2}{3}$$