Вопрос:

Вариант 2. 1. Выполните умножение: а) \(\frac{7}{9}\cdot\frac{2}{5}\); б) \(3\frac{3}{5}\cdot2\frac{1}{12}\); в) \(2\frac{5}{8}\cdot\frac{4}{21}\); г) \(\frac{12}{13}\cdot\frac{26}{27}\); д) \(\frac{2}{7}\cdot\frac{4}{5}\); е) \(\frac{6}{7}\cdot2\frac{19}{18}\); ж) \(\frac{3}{7}\cdot\frac{2}{5}\); з) \(3\frac{1}{9}\cdot2\frac{1}{7}\); и) \(1\frac{1}{9}\cdot3\frac{1}{10}\); к) \(\frac{7}{13}\cdot\frac{39}{56}\); л) \(2\frac{1}{4}\cdot2\frac{4}{5}\); м) \(\frac{4}{11}\cdot4\frac{7}{12}\).

Ответ:

  1. \(\frac{7}{9}\cdot\frac{2}{5}=\frac{14}{45}\).
  2. \(3\frac{3}{5}\cdot2\frac{1}{12}=\frac{18}{5}\cdot\frac{25}{12}=\frac{15}{2}=7\frac{1}{2}\).
  3. \(2\frac{5}{8}\cdot\frac{4}{21}=\frac{21}{8}\cdot\frac{4}{21}=\frac{1}{2}\).
  4. \(\frac{12}{13}\cdot\frac{26}{27}=\frac{8}{9}\).
  5. \(\frac{2}{7}\cdot\frac{4}{5}=\frac{8}{35}\).
  6. \(\frac{6}{7}\cdot2\frac{19}{18}=\frac{6}{7}\cdot\frac{55}{18}=\frac{55}{21}=2\frac{13}{21}\).
  7. \(\frac{3}{7}\cdot\frac{2}{5}=\frac{6}{35}\).
  8. \(3\frac{1}{9}\cdot2\frac{1}{7}=\frac{28}{9}\cdot\frac{15}{7}=\frac{20}{3}=6\frac{2}{3}\).
  9. \(1\frac{1}{9}\cdot3\frac{1}{10}=\frac{10}{9}\cdot\frac{31}{10}=\frac{31}{9}=3\frac{4}{9}\).
  10. \(\frac{7}{13}\cdot\frac{39}{56}=\frac{3}{8}\).
  11. \(2\frac{1}{4}\cdot2\frac{4}{5}=\frac{9}{4}\cdot\frac{14}{5}=\frac{63}{10}=6\frac{3}{10}\).
  12. \(\frac{4}{11}\cdot4\frac{7}{12}=\frac{4}{11}\cdot\frac{55}{12}=\frac{5}{3}=1\frac{2}{3}\).

Ответ: а) \(\frac{14}{45}\); б) \(7\frac{1}{2}\); в) \(\frac{1}{2}\); г) \(\frac{8}{9}\); д) \(\frac{8}{35}\); е) \(2\frac{13}{21}\); ж) \(\frac{6}{35}\); з) \(6\frac{2}{3}\); и) \(3\frac{4}{9}\); к) \(\frac{3}{8}\); л) \(6\frac{3}{10}\); м) \(1\frac{2}{3}\).