Вопрос:

4. Деление: 1) \(4\frac{1}{2}:2\frac{1}{4}\); 2) \(6\frac{2}{3}:1\frac{7}{9}\); 3) \(8\frac{5}{6}:2\frac{7}{12}\); 4) \(5\frac{3}{7}:1\frac{5}{14}\); 5) \(9\frac{4}{5}:3\frac{1}{10}\); 6) \(11\frac{1}{4}:2\frac{1}{2}\).

Ответ:

  1. \(4\frac{1}{2}:2\frac{1}{4}=\frac{9}{2}:\frac{9}{4}=\frac{9}{2}\cdot\frac{4}{9}=2\).
  2. \(6\frac{2}{3}:1\frac{7}{9}=\frac{20}{3}:\frac{16}{9}=\frac{20}{3}\cdot\frac{9}{16}=\frac{15}{4}=3\frac{3}{4}\).
  3. \(8\frac{5}{6}:2\frac{7}{12}=\frac{53}{6}:\frac{31}{12}=\frac{53}{6}\cdot\frac{12}{31}=\frac{106}{31}=3\frac{13}{31}\).
  4. \(5\frac{3}{7}:1\frac{5}{14}=\frac{38}{7}:\frac{19}{14}=\frac{38}{7}\cdot\frac{14}{19}=4\).
  5. \(9\frac{4}{5}:3\frac{1}{10}=\frac{49}{5}:\frac{31}{10}=\frac{49}{5}\cdot\frac{10}{31}=\frac{98}{31}=3\frac{5}{31}\).
  6. \(11\frac{1}{4}:2\frac{1}{2}=\frac{45}{4}:\frac{5}{2}=\frac{45}{4}\cdot\frac{2}{5}=\frac{9}{2}=4\frac{1}{2}\).

Ответ: 1) \(2\); 2) \(3\frac{3}{4}\); 3) \(3\frac{13}{31}\); 4) \(4\); 5) \(3\frac{5}{31}\); 6) \(4\frac{1}{2}\).