Вопрос:

1) Вычислите: 5/6 − 8/15; 2) 13/15 − 13/20; 3) 7/8 − 5/24; 4) 1/4 + 5/6; 5) 5/12 − 3/16; 6) 7/20 + 3/10; 7) 2/9 + 3/5; 8) 7/12 − 3/20; 9) 17/20 − 11/16; 10) 5/8 + 8/20; 11) 8/15 + 2/9.

Ответ:

  1. \(\frac{5}{6}-\frac{8}{15}=\frac{25}{30}-\frac{16}{30}=\frac{9}{30}=\frac{3}{10}\).
  2. \(\frac{13}{15}-\frac{13}{20}=\frac{52}{60}-\frac{39}{60}=\frac{13}{60}\).
  3. \(\frac{7}{8}-\frac{5}{24}=\frac{21}{24}-\frac{5}{24}=\frac{16}{24}=\frac{2}{3}\).
  4. \(\frac{1}{4}+\frac{5}{6}=\frac{3}{12}+\frac{10}{12}=\frac{13}{12}=1\frac{1}{12}\).
  5. \(\frac{5}{12}-\frac{3}{16}=\frac{20}{48}-\frac{9}{48}=\frac{11}{48}\).
  6. \(\frac{7}{20}+\frac{3}{10}=\frac{7}{20}+\frac{6}{20}=\frac{13}{20}\).
  7. \(\frac{2}{9}+\frac{3}{5}=\frac{10}{45}+\frac{27}{45}=\frac{37}{45}\).
  8. \(\frac{7}{12}-\frac{3}{20}=\frac{35}{60}-\frac{9}{60}=\frac{26}{60}=\frac{13}{30}\).
  9. \(\frac{17}{20}-\frac{11}{16}=\frac{68}{80}-\frac{55}{80}=\frac{13}{80}\).
  10. \(\frac{5}{8}+\frac{8}{20}=\frac{25}{40}+\frac{16}{40}=\frac{41}{40}=1\frac{1}{40}\).
  11. \(\frac{8}{15}+\frac{2}{9}=\frac{24}{45}+\frac{10}{45}=\frac{34}{45}\).