a) $$4\frac{1}{2} \cdot 1\frac{3}{4} = \frac{9}{2} \cdot \frac{7}{4} = \frac{9 \cdot 7}{2 \cdot 4} = \frac{63}{8} = 7\frac{7}{8}$$
б) $$1\frac{2}{3} \cdot 3\frac{1}{3} = \frac{5}{3} \cdot \frac{10}{3} = \frac{5 \cdot 10}{3 \cdot 3} = \frac{50}{9} = 5\frac{5}{9}$$
в) $$2\frac{4}{5} \cdot 5\frac{5}{6} = \frac{14}{5} \cdot \frac{35}{6} = \frac{14 \cdot 35}{5 \cdot 6} = \frac{490}{30} = \frac{49}{3} = 16\frac{1}{3}$$
г) $$3\frac{4}{7} \cdot 2\frac{1}{6} = \frac{25}{7} \cdot \frac{13}{6} = \frac{25 \cdot 13}{7 \cdot 6} = \frac{325}{42} = 7\frac{31}{42}$$
д) $$1\frac{4}{9} \cdot 2\frac{2}{3} = \frac{13}{9} \cdot \frac{8}{3} = \frac{13 \cdot 8}{9 \cdot 3} = \frac{104}{27} = 3\frac{23}{27}$$
e) $$2\frac{7}{8} \cdot 3\frac{3}{5} = \frac{23}{8} \cdot \frac{18}{5} = \frac{23 \cdot 18}{8 \cdot 5} = \frac{414}{40} = \frac{207}{20} = 10\frac{7}{20}$$
ж) $$4\frac{1}{4} \cdot 2\frac{1}{5} = \frac{17}{4} \cdot \frac{11}{5} = \frac{17 \cdot 11}{4 \cdot 5} = \frac{187}{20} = 9\frac{7}{20}$$
з) $$5\frac{1}{9} \cdot 2\frac{1}{9} = \frac{46}{9} \cdot \frac{19}{9} = \frac{46 \cdot 19}{9 \cdot 9} = \frac{874}{81} = 10\frac{64}{81}$$
и) $$1\frac{1}{2} \cdot 3\frac{1}{9} = \frac{3}{2} \cdot \frac{28}{9} = \frac{3 \cdot 28}{2 \cdot 9} = \frac{84}{18} = \frac{14}{3} = 4\frac{2}{3}$$
к) $$3\frac{1}{4} \cdot 1\frac{5}{11} = \frac{13}{4} \cdot \frac{16}{11} = \frac{13 \cdot 16}{4 \cdot 11} = \frac{208}{44} = \frac{52}{11} = 4\frac{8}{11}$$
л) $$1\frac{1}{7} \cdot 5\frac{1}{5} = \frac{8}{7} \cdot \frac{26}{5} = \frac{8 \cdot 26}{7 \cdot 5} = \frac{208}{35} = 5\frac{33}{35}$$
м) $$4\frac{4}{5} \cdot 3\frac{1}{5} = \frac{24}{5} \cdot \frac{16}{5} = \frac{24 \cdot 16}{5 \cdot 5} = \frac{384}{25} = 15\frac{9}{25}$$
Ответы:
а) $$7\frac{7}{8}$$
б) $$5\frac{5}{9}$$
в) $$16\frac{1}{3}$$
г) $$7\frac{31}{42}$$
д) $$3\frac{23}{27}$$
e) $$10\frac{7}{20}$$
ж) $$9\frac{7}{20}$$
з) $$10\frac{64}{81}$$
и) $$4\frac{2}{3}$$
к) $$4\frac{8}{11}$$
л) $$5\frac{33}{35}$$
м) $$15\frac{9}{25}$$