Вопрос:

Вычислите: 1) 4 1/2 − 1 1/3; 2) 5 3/4 − 2 1/5; 3) 3 2/3 − 1 1/6; 4) 6 1/5 − 2 3/4; 5) 7 2/3 − 3 1/2.

Ответ:

  1. \(4\frac{1}{2}-1\frac{1}{3}=\frac{9}{2}-\frac{4}{3}=\frac{27-8}{6}=\frac{19}{6}=3\frac{1}{6}\).
  2. \(5\frac{3}{4}-2\frac{1}{5}=\frac{23}{4}-\frac{11}{5}=\frac{115-44}{20}=\frac{71}{20}=3\frac{11}{20}\).
  3. \(3\frac{2}{3}-1\frac{1}{6}=\frac{11}{3}-\frac{7}{6}=\frac{22-7}{6}=\frac{15}{6}=2\frac{1}{2}\).
  4. \(6\frac{1}{5}-2\frac{3}{4}=\frac{31}{5}-\frac{11}{4}=\frac{124-55}{20}=\frac{69}{20}=3\frac{9}{20}\).
  5. \(7\frac{2}{3}-3\frac{1}{2}=\frac{23}{3}-\frac{7}{2}=\frac{46-21}{6}=\frac{25}{6}=4\frac{1}{6}\).

Ответ: 1) \(3\frac{1}{6}\); 2) \(3\frac{11}{20}\); 3) \(2\frac{1}{2}\); 4) \(3\frac{9}{20}\); 5) \(4\frac{1}{6}\).

Подать жалобу Правообладателю