Вопрос:

Вычислите выражения на изображении. Распознаны следующие выражения: \(\frac{3}{4}+\frac{2}{12}\); \(\frac{20}{8}-\frac{2}{4}\); \(4\frac{1}{2}+\frac{3}{6}\); \((1\frac{2}{6}+\frac{2}{3})\cdot3\); \(\frac{1}{2}\cdot2\); \(\frac{14}{15}+\frac{2}{15}\); \(4\frac{12}{40}-1\frac{1}{5}\); \(\frac{6}{4}\cdot\frac{4}{6}\); \(2\frac{7}{10}+\frac{13}{10}\); \(\frac{18}{23}+1\frac{5}{23}\); \(\frac{2}{5}+4\frac{3}{5}\); \(\frac{2}{4}+\frac{2}{12}\); \(\frac{10}{23}+1\frac{5}{23}\); \(4\frac{10}{16}-1\frac{4}{8}\); \(\frac{2}{3}\cdot12\).

Ответ:

  1. \(\frac{3}{4}+\frac{2}{12}=\frac{9}{12}+\frac{2}{12}=\frac{11}{12}\).
  2. \(\frac{20}{8}-\frac{2}{4}=\frac{5}{2}-\frac{1}{2}=2\).
  3. \(4\frac{1}{2}+\frac{3}{6}=4\frac{1}{2}+\frac{1}{2}=5\).
  4. \((1\frac{2}{6}+\frac{2}{3})\cdot3=(1\frac{1}{3}+\frac{2}{3})\cdot3=2\cdot3=6\).
  5. \(\frac{1}{2}\cdot2=1\).
  6. \(\frac{14}{15}+\frac{2}{15}=\frac{16}{15}=1\frac{1}{15}\).
  7. \(4\frac{12}{40}-1\frac{1}{5}=4\frac{3}{10}-1\frac{2}{10}=3\frac{1}{10}\).
  8. \(\frac{6}{4}\cdot\frac{4}{6}=1\).
  9. \(2\frac{7}{10}+\frac{13}{10}=2\frac{7}{10}+1\frac{3}{10}=4\).
  10. \(\frac{18}{23}+1\frac{5}{23}=1\frac{23}{23}=2\).
  11. \(\frac{2}{5}+4\frac{3}{5}=5\).
  12. \(\frac{2}{4}+\frac{2}{12}=\frac{1}{2}+\frac{1}{6}=\frac{2}{3}\).
  13. \(\frac{10}{23}+1\frac{5}{23}=1\frac{15}{23}\).
  14. \(4\frac{10}{16}-1\frac{4}{8}=4\frac{5}{8}-1\frac{1}{2}=3\frac{1}{8}\).
  15. \(\frac{2}{3}\cdot12=8\).

Ответ: \(\frac{11}{12};\ 2;\ 5;\ 6;\ 1;\ 1\frac{1}{15};\ 3\frac{1}{10};\ 1;\ 4;\ 2;\ 5;\ \frac{2}{3};\ 1\frac{15}{23};\ 3\frac{1}{8};\ 8\).