a) $$2\frac{1}{7} \cdot 3\frac{1}{9} = \frac{15}{7} \cdot \frac{28}{9} = \frac{15 \cdot 28}{7 \cdot 9} = \frac{15 \cdot 4}{1 \cdot 9} = \frac{60}{9} = \frac{20}{3} = 6\frac{2}{3}$$
б) $$\frac{3}{7} \cdot \frac{7}{9} = \frac{3 \cdot 7}{7 \cdot 9} = \frac{3}{9} = \frac{1}{3}$$
в) $$\frac{5}{8} \cdot 1\frac{13}{15} \cdot 2\frac{2}{7} = \frac{5}{8} \cdot \frac{28}{15} \cdot \frac{16}{7} = \frac{5 \cdot 28 \cdot 16}{8 \cdot 15 \cdot 7} = \frac{5 \cdot 4 \cdot 7 \cdot 2 \cdot 8}{8 \cdot 3 \cdot 5 \cdot 7} = \frac{4 \cdot 2}{3} = \frac{8}{3} = 2\frac{2}{3}$$
Ответ: a) $$6\frac{2}{3}$$; б) $$\frac{1}{3}$$; в) $$2\frac{2}{3}$$