Вопрос:

№1. Вычислить: 1) 5/17 + 13/17; 2) 1 − 7/12; 3) 11/16 − 3/16; 4) 14 8/13 + 5 7/13; 5) 17 3/11 − 7 9/11; 6) 7/18 − 9/14; 7) 16/21 : 8/7.

Ответ:

  1. \(\frac{5}{17}+\frac{13}{17}=\frac{18}{17}=1\frac{1}{17}\).
  2. \(1-\frac{7}{12}=\frac{12}{12}-\frac{7}{12}=\frac{5}{12}\).
  3. \(\frac{11}{16}-\frac{3}{16}=\frac{8}{16}=\frac{1}{2}\).
  4. \(14\frac{8}{13}+5\frac{7}{13}=19\frac{15}{13}=20\frac{2}{13}\).
  5. \(17\frac{3}{11}-7\frac{9}{11}=16\frac{14}{11}-7\frac{9}{11}=9\frac{5}{11}\).
  6. \(\frac{7}{18}-\frac{9}{14}=\frac{49}{126}-\frac{81}{126}=-\frac{32}{126}=-\frac{16}{63}\).
  7. \(\frac{16}{21}:\frac{8}{7}=\frac{16}{21}\cdot\frac{7}{8}=\frac{2}{3}\).

Ответ: 1) 1\(\frac{1}{17}\); 2) \(\frac{5}{12}\); 3) \(\frac{1}{2}\); 4) 20\(\frac{2}{13}\); 5) 9\(\frac{5}{11}\); 6) −\(\frac{16}{63}\); 7) \(\frac{2}{3}\).