Реши пример $\frac{5}{3} \cdot \frac{9}{2}$

Конечно, давай разберемся с этими задачками по порядку! 1. $\frac{5}{3} \cdot \frac{9}{2} = \frac{5 \cdot 9}{3 \cdot 2} = \frac{5 \cdot 3}{1 \cdot 2} = \frac{15}{2} = 7\frac{1}{2}$ 2. $\frac{7}{5} \cdot \frac{12}{35} = \frac{7 \cdot 12}{5 \cdot 35} = \frac{1 \cdot 12}{5 \cdot 5} = \frac{12}{25}$ 3. $\frac{21}{2} : \frac{3}{5} = \frac{21}{2} \cdot \frac{5}{3} = \frac{7 \cdot 5}{2 \cdot 1} = \frac{35}{2} = 17\frac{1}{2}$ 4. $\frac{14}{5} : \frac{7}{2} = \frac{14}{5} \cdot \frac{2}{7} = \frac{2 \cdot 2}{5 \cdot 1} = \frac{4}{5}$ 5. $(\frac{17}{26} + \frac{11}{13}) \cdot \frac{17}{6} = (\frac{17}{26} + \frac{22}{26}) \cdot \frac{17}{6} = \frac{39}{26} \cdot \frac{17}{6} = \frac{3}{2} \cdot \frac{17}{6} = \frac{1 \cdot 17}{2 \cdot 2} = \frac{17}{4} = 4\frac{1}{4}$ 6. $(\frac{11}{12} + \frac{11}{20}) \cdot \frac{15}{8} = (\frac{55}{60} + \frac{33}{60}) \cdot \frac{15}{8} = \frac{88}{60} \cdot \frac{15}{8} = \frac{22}{15} \cdot \frac{15}{8} = \frac{11}{1} \cdot \frac{1}{4} = \frac{11}{4} = 2\frac{3}{4}$ 7. $(\frac{2}{20} + \frac{7}{30}) \cdot 15 = (\frac{6}{60} + \frac{14}{60}) \cdot 15 = \frac{20}{60} \cdot 15 = \frac{1}{3} \cdot 15 = 5$ 8. $(\frac{9}{10} - \frac{7}{15}) \cdot 3 = (\frac{27}{30} - \frac{14}{30}) \cdot 3 = \frac{13}{30} \cdot 3 = \frac{13}{10} = 1\frac{3}{10}$