Вопрос:

9. Вычислите: 1) \(\frac{3}{20}+\frac{2}{15}\); 2) \(\frac{17}{32}-\frac{5}{12}\); 3) \(\frac{11}{28}+\frac{9}{14}\); 4) \(\frac{35}{36}-\frac{41}{45}\); 5) \(3\frac{21}{25}+1\frac{2}{5}\); 6) \(4\frac{13}{16}-2\frac{3}{8}\); 7) \(5\frac{5}{6}-\frac{31}{48}\); 8) \(6\frac{4}{7}-2\frac{37}{77}\).

Ответ:

  1. \(\frac{3}{20}+\frac{2}{15}=\frac{9}{60}+\frac{8}{60}=\frac{17}{60}\).
  2. \(\frac{17}{32}-\frac{5}{12}=\frac{51}{96}-\frac{40}{96}=\frac{11}{96}\).
  3. \(\frac{11}{28}+\frac{9}{14}=\frac{11}{28}+\frac{18}{28}=\frac{29}{28}=1\frac{1}{28}\).
  4. \(\frac{35}{36}-\frac{41}{45}=\frac{175}{180}-\frac{164}{180}=\frac{11}{180}\).
  5. \(3\frac{21}{25}+1\frac{2}{5}=3\frac{21}{25}+1\frac{10}{25}=4\frac{31}{25}=5\frac{6}{25}\).
  6. \(4\frac{13}{16}-2\frac{3}{8}=4\frac{13}{16}-2\frac{6}{16}=2\frac{7}{16}\).
  7. \(5\frac{5}{6}-\frac{31}{48}=5\frac{40}{48}-\frac{31}{48}=5\frac{9}{48}=5\frac{3}{16}\).
  8. \(6\frac{4}{7}-2\frac{37}{77}=6\frac{44}{77}-2\frac{37}{77}=4\frac{7}{77}=4\frac{1}{11}\).

Ответ: 1) \(\frac{17}{60}\); 2) \(\frac{11}{96}\); 3) \(1\frac{1}{28}\); 4) \(\frac{11}{180}\); 5) \(5\frac{6}{25}\); 6) \(2\frac{7}{16}\); 7) \(5\frac{3}{16}\); 8) \(4\frac{1}{11}\).