Найдем произведение:
1) $$5 \cdot \frac{3}{26} = \frac{5 \cdot 3}{26} = \frac{15}{26}$$
2) $$\frac{5}{8} \cdot 4 = \frac{5 \cdot 4}{8} = \frac{20}{8} = \frac{5}{2} = 2\frac{1}{2}$$
3) $$\frac{9}{28} \cdot 56 = \frac{9 \cdot 56}{28} = \frac{504}{28} = 18$$
4) $$6\frac{6}{7} \cdot \frac{3}{8} = \frac{6 \cdot 7 + 6}{7} \cdot \frac{3}{8} = \frac{48}{7} \cdot \frac{3}{8} = \frac{48 \cdot 3}{7 \cdot 8} = \frac{144}{56} = \frac{18}{7} = 2\frac{4}{7}$$
5) $$5\frac{1}{7} \cdot 1\frac{8}{27} = \frac{5 \cdot 7 + 1}{7} \cdot \frac{1 \cdot 27 + 8}{27} = \frac{36}{7} \cdot \frac{35}{27} = \frac{36 \cdot 35}{7 \cdot 27} = \frac{1260}{189} = \frac{20}{3} = 6\frac{2}{3}$$
6) $$1\frac{8}{9} \cdot 1\frac{1}{8} \cdot 2\frac{2}{3} = \frac{1 \cdot 9 + 8}{9} \cdot \frac{1 \cdot 8 + 1}{8} \cdot \frac{2 \cdot 3 + 2}{3} = \frac{17}{9} \cdot \frac{9}{8} \cdot \frac{8}{3} = \frac{17 \cdot 9 \cdot 8}{9 \cdot 8 \cdot 3} = \frac{17}{3} = 5\frac{2}{3}$$