Вопрос:

2. Чему 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. \(\frac13+\frac56=\frac26+\frac56=\frac76=1\frac16\);
  2. \(\frac37-\frac29=\frac{27}{63}-\frac{14}{63}=\frac{13}{63}\);
  3. \(\frac7{16}\cdot\frac8{35}=\frac18\);
  4. \(\frac49\cdot18=8\);
  5. \(\frac{46}{75}:\frac{23}{45}=\frac{46}{75}\cdot\frac{45}{23}=\frac65\);
  6. \(\frac23:4=\frac23\cdot\frac14=\frac16\);
  7. \(10:\frac5{11}=10\cdot\frac{11}{5}=22\);
  8. \(2\frac38+4\frac16=6+\frac{9}{24}+\frac4{24}=6\frac{13}{24}\);
  9. \(6-1\frac35=4\frac25\);
  10. \(4\frac27-1\frac49=\frac{30}{7}-\frac{13}{9}=\frac{179}{63}=2\frac{53}{63}\);
  11. \(8\frac34\cdot1\frac3{14}=\frac{35}{4}\cdot\frac{17}{14}=\frac{85}{8}=10\frac58\);
  12. \(1\frac35:5\frac13=\frac85:\frac{16}{3}=\frac85\cdot\frac3{16}=\frac3{10}\).

Ответ: 1) \(1\frac16\); 2) \(\frac{13}{63}\); 3) \(\frac18\); 4) 8; 5) \(\frac65\); 6) \(\frac16\); 7) 22; 8) \(6\frac{13}{24}\); 9) \(4\frac25\); 10) \(2\frac{53}{63}\); 11) \(10\frac58\); 12) \(\frac3{10}\).