Вопрос:

Вычислите: 1/4 − 1/8; 11/30 + 3/4; 5/8 − 5/12; 11/65 + 2/13; 0,6 + 2/5; 3 1/2 − 1 1/4; 1 2/4 + 1/2; 2,2 + 4/5; 6 − 1 5/7; 4 1/6 − 2 5/6; 1 11/14 + 2 5/14; 8 − 5 7/8; 2 1/9 − 1 1/3; 1 4/5 + 0,3; 3 1/6 − 2 1/12.

Ответ:

  1. \(\frac{1}{4}-\frac{1}{8}=\frac{2}{8}-\frac{1}{8}=\frac{1}{8}\).
  2. \(\frac{11}{30}+\frac{3}{4}=\frac{22}{60}+\frac{45}{60}=\frac{67}{60}=1\frac{7}{60}\).
  3. \(\frac{5}{8}-\frac{5}{12}=\frac{15}{24}-\frac{10}{24}=\frac{5}{24}\).
  4. \(\frac{11}{65}+\frac{2}{13}=\frac{11}{65}+\frac{10}{65}=\frac{21}{65}\).
  5. \(0,6+\frac{2}{5}=0,6+0,4=1\).
  6. \(3\frac{1}{2}-1\frac{1}{4}=2\frac{1}{4}\).
  7. \(1\frac{2}{4}+\frac{1}{2}=1\frac{1}{2}+\frac{1}{2}=2\).
  8. \(2,2+\frac{4}{5}=2,2+0,8=3\).
  9. \(6-1\frac{5}{7}=5-\frac{5}{7}=4\frac{2}{7}\).
  10. \(4\frac{1}{6}-2\frac{5}{6}=\frac{25}{6}-\frac{17}{6}=\frac{8}{6}=1\frac{1}{3}\).
  11. \(1\frac{11}{14}+2\frac{5}{14}=3+\frac{16}{14}=4\frac{1}{7}\).
  12. \(8-5\frac{7}{8}=2\frac{1}{8}\).
  13. \(2\frac{1}{9}-1\frac{1}{3}=\frac{19}{9}-\frac{12}{9}=\frac{7}{9}\).
  14. \(1\frac{4}{5}+0,3=1,8+0,3=2,1\).
  15. \(3\frac{1}{6}-2\frac{1}{12}=\frac{38}{12}-\frac{25}{12}=\frac{13}{12}=1\frac{1}{12}\).

Ответ: 1) \(\frac{1}{8}\); 2) \(1\frac{7}{60}\); 3) \(\frac{5}{24}\); 4) \(\frac{21}{65}\); 5) \(1\); 6) \(2\frac{1}{4}\); 7) \(2\); 8) \(3\); 9) \(4\frac{2}{7}\); 10) \(1\frac{1}{3}\); 11) \(4\frac{1}{7}\); 12) \(2\frac{1}{8}\); 13) \(\frac{7}{9}\); 14) \(2,1\); 15) \(1\frac{1}{12}\).