Вопрос:

Вычисли: а) \(\frac{11}{2}-\frac{3}{8}\); б) \(\frac{5}{9}-\frac{11}{6}\); в) \(\frac{7}{8}-\frac{5}{6}\); г) \(\frac{7}{4}-\frac{1}{5}\); д) \(\frac{7}{9}-\frac{1}{4}\).

Ответ:

  1. \(\frac{11}{2}-\frac{3}{8}=\frac{44}{8}-\frac{3}{8}=\frac{41}{8}=5\frac{1}{8}\).
  2. \(\frac{5}{9}-\frac{11}{6}=\frac{10}{18}-\frac{33}{18}=-\frac{23}{18}=-1\frac{5}{18}\).
  3. \(\frac{7}{8}-\frac{5}{6}=\frac{21}{24}-\frac{20}{24}=\frac{1}{24}\).
  4. \(\frac{7}{4}-\frac{1}{5}=\frac{35}{20}-\frac{4}{20}=\frac{31}{20}=1\frac{11}{20}\).
  5. \(\frac{7}{9}-\frac{1}{4}=\frac{28}{36}-\frac{9}{36}=\frac{19}{36}\).

Ответ: а) \(5\frac{1}{8}\); б) \(-1\frac{5}{18}\); в) \(\frac{1}{24}\); г) \(1\frac{11}{20}\); д) \(\frac{19}{36}\).