Вопрос:

№ 3. Выполните действия: 1) \(\frac{4}{9}+\frac{2}{3}\); 2) \(\frac{5}{7}+\frac{1}{28}\); 3) \(5\frac{1}{4}-1\frac{3}{8}\); 4) \(\frac{2}{3}+\frac{2}{7}\); 5) \(\frac{3}{4}-\frac{2}{5}\); 6) \(\frac{4}{9}-\frac{5}{12}\); 7) \(\frac{11}{12}-\frac{11}{20}\).

Ответ:

  1. \(\frac{4}{9}+\frac{2}{3}=\frac{4}{9}+\frac{6}{9}=\frac{10}{9}=1\frac{1}{9}\).
  2. \(\frac{5}{7}+\frac{1}{28}=\frac{20}{28}+\frac{1}{28}=\frac{21}{28}=\frac{3}{4}\).
  3. \(5\frac{1}{4}-1\frac{3}{8}=5\frac{2}{8}-1\frac{3}{8}=3\frac{7}{8}\).
  4. \(\frac{2}{3}+\frac{2}{7}=\frac{14}{21}+\frac{6}{21}=\frac{20}{21}\).
  5. \(\frac{3}{4}-\frac{2}{5}=\frac{15}{20}-\frac{8}{20}=\frac{7}{20}\).
  6. \(\frac{4}{9}-\frac{5}{12}=\frac{16}{36}-\frac{15}{36}=\frac{1}{36}\).
  7. \(\frac{11}{12}-\frac{11}{20}=\frac{55}{60}-\frac{33}{60}=\frac{22}{60}=\frac{11}{30}\).

Ответ: 1) \(1\frac{1}{9}\); 2) \(\frac{3}{4}\); 3) \(3\frac{7}{8}\); 4) \(\frac{20}{21}\); 5) \(\frac{7}{20}\); 6) \(\frac{1}{36}\); 7) \(\frac{11}{30}\).