Вопрос:

Выполните действия: а) 10 + 2 6/7; 5/11 + 4 2/11; 6 2/9 + 1/9; 3/5 + 2/5; 3 7/13 + 3 9/13; 4 17/24 + 2 11/24. б) 3 7/8 − 3; 8 3/10 − 3/10; 7 5/6 − 2 1/6; 9 − 8/15; 6 − 3 5/7; 6 1/8 − 1 2/8. в) 5 1/2 + 2; 3 2/9 + 5/9; 8 8/11 − 5/11; 2 5/8 + 2 7/8; 10 − 4 3/10; 6 2/7 − 3 6/7.

Ответ:

а)

  1. \(10+2\frac{6}{7}=12\frac{6}{7}\);
  2. \(\frac{5}{11}+4\frac{2}{11}=4\frac{7}{11}\);
  3. \(6\frac{2}{9}+\frac{1}{9}=6\frac{3}{9}=6\frac{1}{3}\);
  4. \(\frac{3}{5}+\frac{2}{5}=1\);
  5. \(3\frac{7}{13}+3\frac{9}{13}=7\frac{3}{13}\);
  6. \(4\frac{17}{24}+2\frac{11}{24}=7\frac{4}{24}=7\frac{1}{6}\).

б)

  1. \(3\frac{7}{8}-3=\frac{7}{8}\);
  2. \(8\frac{3}{10}-\frac{3}{10}=8\);
  3. \(7\frac{5}{6}-2\frac{1}{6}=5\frac{4}{6}=5\frac{2}{3}\);
  4. \(9-\frac{8}{15}=8\frac{7}{15}\);
  5. \(6-3\frac{5}{7}=2\frac{2}{7}\);
  6. \(6\frac{1}{8}-1\frac{2}{8}=4\frac{7}{8}\).

в)

  1. \(5\frac{1}{2}+2=7\frac{1}{2}\);
  2. \(3\frac{2}{9}+\frac{5}{9}=3\frac{7}{9}\);
  3. \(8\frac{8}{11}-\frac{5}{11}=8\frac{3}{11}\);
  4. \(2\frac{5}{8}+2\frac{7}{8}=5\frac{4}{8}=5\frac{1}{2}\);
  5. \(10-4\frac{3}{10}=5\frac{7}{10}\);
  6. \(6\frac{2}{7}-3\frac{6}{7}=2\frac{3}{7}\).