Ответ:

  1. а) \(\frac{7}{30}\cdot\frac{6}{21}=\frac{1}{30}\cdot\frac{6}{3}=\frac{1}{15}\).
  2. б) \(\frac{4}{12}\cdot\frac{18}{20}=\frac{1}{3}\cdot\frac{9}{10}=\frac{3}{10}\).
  3. в) \(\frac{21}{25}\cdot\frac{15}{42}=\frac{1}{25}\cdot\frac{15}{2}=\frac{3}{10}\).
  4. г) \(\frac{14}{24}\cdot\frac{16}{21}=\frac{7}{12}\cdot\frac{16}{21}=\frac{2}{9}\).
  5. д) \(\frac{50}{70}\cdot\frac{77}{150}=\frac{5}{7}\cdot\frac{11}{30}=\frac{11}{42}\).
  6. е) \(\frac{23}{45}\cdot\frac{9}{46}=\frac{1}{5}\cdot\frac{1}{2}=\frac{1}{10}\).
  7. ж) \(\frac{30}{66}\cdot\frac{7}{90}=\frac{5}{11}\cdot\frac{7}{90}=\frac{7}{198}\).
  8. з) \(\frac{26}{32}\cdot\frac{12}{13}=\frac{13}{16}\cdot\frac{12}{13}=\frac{3}{4}\).

Ответ: а) \(\frac{1}{15}\); б) \(\frac{3}{10}\); в) \(\frac{3}{10}\); г) \(\frac{2}{9}\); д) \(\frac{11}{42}\); е) \(\frac{1}{10}\); ж) \(\frac{7}{198}\); з) \(\frac{3}{4}\).