Вопрос:

Вычислите: 1) 2/10 + 5/10; 2) 17/46 − 11/46; 3) 27/29 − 8/29; 4) 7/15 + 2/15; 5) 3/4 + 1/6; 6) 7/10 − 2/15; 7) 1/8 + 7/12; 8) 11/16 − 5/12; 9) 3/5 · 4/7; 10) 2/15 · 10/13; 11) 6/20 · 8/9; 12) 7/12 · 36/42; 13) 4/9 · 5/2; 14) 3/16 : 5/12; 15) 6/8 : 9; 16) 10 : 15/12.

Ответ:

  1. \(\frac{2}{10}+\frac{5}{10}=\frac{7}{10}\).
  2. \(\frac{17}{46}-\frac{11}{46}=\frac{6}{46}=\frac{3}{23}\).
  3. \(\frac{27}{29}-\frac{8}{29}=\frac{19}{29}\).
  4. \(\frac{7}{15}+\frac{2}{15}=\frac{9}{15}=\frac{3}{5}\).
  5. \(\frac{3}{4}+\frac{1}{6}=\frac{9}{12}+\frac{2}{12}=\frac{11}{12}\).
  6. \(\frac{7}{10}-\frac{2}{15}=\frac{21}{30}-\frac{4}{30}=\frac{17}{30}\).
  7. \(\frac{1}{8}+\frac{7}{12}=\frac{3}{24}+\frac{14}{24}=\frac{17}{24}\).
  8. \(\frac{11}{16}-\frac{5}{12}=\frac{33}{48}-\frac{20}{48}=\frac{13}{48}\).
  9. \(\frac{3}{5}\cdot\frac{4}{7}=\frac{12}{35}\).
  10. \(\frac{2}{15}\cdot\frac{10}{13}=\frac{20}{195}=\frac{4}{39}\).
  11. \(\frac{6}{20}\cdot\frac{8}{9}=\frac{3}{10}\cdot\frac{8}{9}=\frac{4}{15}\).
  12. \(\frac{7}{12}\cdot\frac{36}{42}=\frac{7}{12}\cdot\frac{6}{7}=\frac{1}{2}\).
  13. \(\frac{4}{9}\cdot\frac{5}{2}=\frac{20}{18}=\frac{10}{9}=1\frac{1}{9}\).
  14. \(\frac{3}{16}:\frac{5}{12}=\frac{3}{16}\cdot\frac{12}{5}=\frac{9}{20}\).
  15. \(\frac{6}{8}:9=\frac{3}{4}\cdot\frac{1}{9}=\frac{1}{12}\).
  16. \(10:\frac{15}{12}=10\cdot\frac{12}{15}=8\).

Ответ: 1) \(\frac{7}{10}\); 2) \(\frac{3}{23}\); 3) \(\frac{19}{29}\); 4) \(\frac{3}{5}\); 5) \(\frac{11}{12}\); 6) \(\frac{17}{30}\); 7) \(\frac{17}{24}\); 8) \(\frac{13}{48}\); 9) \(\frac{12}{35}\); 10) \(\frac{4}{39}\); 11) \(\frac{4}{15}\); 12) \(\frac{1}{2}\); 13) \(1\frac{1}{9}\); 14) \(\frac{9}{20}\); 15) \(\frac{1}{12}\); 16) \(8\).