Решение:

• а) $$3\frac{3}{4} \cdot 1\frac{3}{5} = \frac{15}{4} \cdot \frac{8}{5} = \frac{15 \cdot 8}{4 \cdot 5} = \frac{3 \cdot 2}{1 \cdot 1} = 6$$
• б) $$1\frac{7}{23} \cdot 3\frac{5}{6} = \frac{30}{23} \cdot \frac{23}{6} = \frac{30 \cdot 23}{23 \cdot 6} = \frac{5 \cdot 1}{1 \cdot 1} = 5$$
• в) $$1\frac{15}{29} \cdot 1\frac{9}{20} = \frac{44}{29} \cdot \frac{29}{20} = \frac{44 \cdot 29}{29 \cdot 20} = \frac{11}{5} = 2\frac{1}{5}$$
• г) $$8\frac{23}{34} \cdot \frac{17}{59} = \frac{295}{34} \cdot \frac{17}{59} = \frac{5 \cdot 1}{2 \cdot 1} = \frac{5}{2} = 2\frac{1}{2}$$
• д) $$2\frac{1}{3} \cdot 1\frac{4}{5} \cdot 1\frac{1}{7} = \frac{7}{3} \cdot \frac{9}{5} \cdot \frac{8}{7} = \frac{7 \cdot 9 \cdot 8}{3 \cdot 5 \cdot 7} = \frac{1 \cdot 3 \cdot 8}{1 \cdot 5 \cdot 1} = \frac{24}{5} = 4\frac{4}{5}$$
• е) $$1\frac{4}{9} \cdot 3\frac{6}{7} \cdot 3\frac{6}{13} = \frac{13}{9} \cdot \frac{27}{7} \cdot \frac{45}{13} = \frac{13 \cdot 27 \cdot 45}{9 \cdot 7 \cdot 13} = \frac{1 \cdot 3 \cdot 45}{1 \cdot 7 \cdot 1} = \frac{135}{7} = 19\frac{2}{7}$$