Вопрос:

Вычислите: 1) 14/19 + 5/19; 2) 4 11/17 + 2 6/17; 3) 5 + 3 3/41; 4) 2 1/3 + 5 2/3; 5) 7/34 + 5/34; 6) 12/41 − 5/41; 7) 16 − 9 6/13; 8) 7 + 4 3/4; 9) 12 1/3 − 5 2/3; 10) 6/35 + 1/35; 11) 12 11/15 − 10 4/15.

Ответ:

  1. \(\frac{14}{19}+\frac{5}{19}=\frac{19}{19}=1\).
  2. \(4\frac{11}{17}+2\frac{6}{17}=6\frac{17}{17}=7\).
  3. \(5+3\frac{3}{41}=8\frac{3}{41}\).
  4. \(2\frac{1}{3}+5\frac{2}{3}=7\frac{3}{3}=8\).
  5. \(\frac{7}{34}+\frac{5}{34}=\frac{12}{34}=\frac{6}{17}\).
  6. \(\frac{12}{41}-\frac{5}{41}=\frac{7}{41}\).
  7. \(16-9\frac{6}{13}=15\frac{13}{13}-9\frac{6}{13}=6\frac{7}{13}\).
  8. \(7+4\frac{3}{4}=11\frac{3}{4}\).
  9. \(12\frac{1}{3}-5\frac{2}{3}=11\frac{4}{3}-5\frac{2}{3}=6\frac{2}{3}\).
  10. \(\frac{6}{35}+\frac{1}{35}=\frac{7}{35}=\frac{1}{5}\).
  11. \(12\frac{11}{15}-10\frac{4}{15}=2\frac{7}{15}\).

Ответ: 1; 7; \(8\frac{3}{41}\); 8; \(\frac{6}{17}\); \(\frac{7}{41}\); \(6\frac{7}{13}\); \(11\frac{3}{4}\); \(6\frac{2}{3}\); \(\frac{1}{5}\); \(2\frac{7}{15}\).