Вопрос:

197. Вычислите: 1) \(4\frac{13}{17}+5\frac{4}{17}\); 2) \(3\frac{8}{11}+2\frac{6}{11}\); 3) \(1-\frac{16}{21}\); 4) \(5-2\frac{3}{8}\); 5) \(8\frac{4}{9}-3\frac{7}{9}\); 6) \(12\frac{19}{44}-6\frac{37}{44}\).

Ответ:

  1. \(4\frac{13}{17}+5\frac{4}{17}=9\frac{17}{17}=10\).
  2. \(3\frac{8}{11}+2\frac{6}{11}=5\frac{14}{11}=6\frac{3}{11}\).
  3. \(1-\frac{16}{21}=\frac{21}{21}-\frac{16}{21}=\frac{5}{21}\).
  4. \(5-2\frac{3}{8}=2\frac{5}{8}\).
  5. \(8\frac{4}{9}-3\frac{7}{9}=7\frac{13}{9}-3\frac{7}{9}=4\frac{6}{9}=4\frac{2}{3}\).
  6. \(12\frac{19}{44}-6\frac{37}{44}=11\frac{63}{44}-6\frac{37}{44}=5\frac{26}{44}=5\frac{13}{22}\).

Ответ: 1) 10; 2) \(6\frac{3}{11}\); 3) \(\frac{5}{21}\); 4) \(2\frac{5}{8}\); 5) \(4\frac{2}{3}\); 6) \(5\frac{13}{22}\).