Вопрос:

Найдите значение выражения: а) \(1\frac{2}{7}+3\frac{4}{7}\); б) \(7-2\frac{3}{8}\); в) \(\frac{7}{12}-\frac{5}{9}\); г) \(5\frac{2}{9}-\frac{8}{27}\); д) \(\frac{16}{5}\cdot\frac{15}{32}\); е) \(3\frac{9}{24}\cdot6\); ж) \(\frac{5}{8}:\frac{15}{28}\); з) \(\frac{0,32}{4,8}\); и) \(5,6:\frac{7}{8}\).

Ответ:

  1. \(1\frac{2}{7}+3\frac{4}{7}=4\frac{6}{7}\).
  2. \(7-2\frac{3}{8}=6\frac{8}{8}-2\frac{3}{8}=4\frac{5}{8}\).
  3. \(\frac{7}{12}-\frac{5}{9}=\frac{21}{36}-\frac{20}{36}=\frac{1}{36}\).
  4. \(5\frac{2}{9}-\frac{8}{27}=5\frac{6}{27}-\frac{8}{27}=4\frac{25}{27}\).
  5. \(\frac{16}{5}\cdot\frac{15}{32}=\frac{1}{5}\cdot\frac{15}{2}=\frac{3}{2}=1\frac{1}{2}\).
  6. \(3\frac{9}{24}\cdot6=3\frac{3}{8}\cdot6=\frac{27}{8}\cdot6=\frac{81}{4}=20\frac{1}{4}\).
  7. \(\frac{5}{8}:\frac{15}{28}=\frac{5}{8}\cdot\frac{28}{15}=\frac{7}{6}=1\frac{1}{6}\).
  8. \(0,32:4,8=\frac{32}{480}=\frac{1}{15}\).
  9. \(5,6:\frac{7}{8}=5,6\cdot\frac{8}{7}=6,4\).

Ответ: а) \(4\frac{6}{7}\); б) \(4\frac{5}{8}\); в) \(\frac{1}{36}\); г) \(4\frac{25}{27}\); д) \(1\frac{1}{2}\); е) \(20\frac{1}{4}\); ж) \(1\frac{1}{6}\); з) \(\frac{1}{15}\); и) \(6,4\).