Выполним вычисления:
1. $$1\frac{8}{24} \cdot 2\frac{2}{5} = 1\frac{1}{3} \cdot 2\frac{2}{5} = \frac{4}{3} \cdot \frac{12}{5} = \frac{4 \cdot 12}{3 \cdot 5} = \frac{4 \cdot 4}{1 \cdot 5} = \frac{16}{5} = 3\frac{1}{5}$$
2. $$\frac{13}{14} \cdot 2\frac{14}{32} = \frac{13}{14} \cdot 2\frac{7}{16} = \frac{13}{14} \cdot \frac{39}{16} = \frac{13 \cdot 39}{14 \cdot 16} = \frac{507}{224} = 2\frac{59}{224}$$
3. $$1\frac{19}{22} \cdot 2\frac{11}{20} = \frac{41}{22} \cdot \frac{51}{20} = \frac{41 \cdot 51}{22 \cdot 20} = \frac{2091}{440} = 4\frac{331}{440}$$
4. $$1\frac{1}{4} \cdot \frac{9}{14} = \frac{5}{4} \cdot \frac{9}{14} = \frac{5 \cdot 9}{4 \cdot 14} = \frac{45}{56}$$
Ответы:
1. $$3\frac{1}{5}$$
2. $$2\frac{59}{224}$$
3. $$4\frac{331}{440}$$
4. $$\frac{45}{56}$$