Вопрос:

2. Цему равно значение выражения: 1) 1/3 + 5/6; 2) 3/7 − 2/9; 3) 7/16 · 8/35; 4) 4/9 · 18; 5) 46/75 : 23/45; 6) 2/3 : 4; 7) 10 : 5/11; 8) 2 3/8 + 4 1/6; 9) 6 − 1 3/5; 10) 4 2/7 − 1 4/9; 11) 8 3/4 · 1 3/14; 12) 1 3/5 : 5 1/3.

Ответ:

  1. \(\frac{1}{3}+\frac{5}{6}=\frac{2}{6}+\frac{5}{6}=\frac{7}{6}=1\frac{1}{6}\).
  2. \(\frac{3}{7}-\frac{2}{9}=\frac{27}{63}-\frac{14}{63}=\frac{13}{63}\).
  3. \(\frac{7}{16}\cdot\frac{8}{35}=\frac{1}{10}\).
  4. \(\frac{4}{9}\cdot18=8\).
  5. \(\frac{46}{75}:\frac{23}{45}=\frac{46}{75}\cdot\frac{45}{23}=\frac{6}{5}=1\frac{1}{5}\).
  6. \(\frac{2}{3}:4=\frac{2}{3}\cdot\frac{1}{4}=\frac{1}{6}\).
  7. \(10:\frac{5}{11}=10\cdot\frac{11}{5}=22\).
  8. \(2\frac{3}{8}+4\frac{1}{6}=\frac{19}{8}+\frac{25}{6}=\frac{57}{24}+\frac{100}{24}=\frac{157}{24}=6\frac{13}{24}\).
  9. \(6-1\frac{3}{5}=6-\frac{8}{5}=\frac{22}{5}=4\frac{2}{5}\).
  10. \(4\frac{2}{7}-1\frac{4}{9}=\frac{30}{7}-\frac{13}{9}=\frac{270-91}{63}=\frac{179}{63}=2\frac{53}{63}\).
  11. \(8\frac{3}{4}\cdot1\frac{3}{14}=\frac{35}{4}\cdot\frac{17}{14}=\frac{85}{8}=10\frac{5}{8}\).
  12. \(1\frac{3}{5}:5\frac{1}{3}=\frac{8}{5}:\frac{16}{3}=\frac{8}{5}\cdot\frac{3}{16}=\frac{3}{10}\).

Ответ: 1) \(1\frac{1}{6}\); 2) \(\frac{13}{63}\); 3) \(\frac{1}{10}\); 4) 8; 5) \(1\frac{1}{5}\); 6) \(\frac{1}{6}\); 7) 22; 8) \(6\frac{13}{24}\); 9) \(4\frac{2}{5}\); 10) \(2\frac{53}{63}\); 11) \(10\frac{5}{8}\); 12) \(\frac{3}{10}\).