Вопрос:

1. Выполните упражнения на совместные действия с обыкновенными и десятичными дробями: 1) \(1\frac{7}{20}:2,7+2,7:1,35+(0,4:2\frac{1}{2})\cdot(4,2-1\frac{3}{10})\); 2) \((7\frac{2}{3}-6\frac{8}{15}\cdot\frac{5}{14}):(8,75\cdot\frac{2}{7}-1\frac{1}{6})+\frac{7}{18}:\frac{14}{27}\); 3) \((0,216:0,15+\frac{2}{3}:\frac{4}{15})+(\frac{196}{225}-7,7:24\frac{3}{4})+0,695:1,39\); 4) \(15:\frac{(0,6+0,425-0,005):0,01}{30\frac{5}{9}+3\frac{4}{9}}\); 5) \(\frac{(\frac{7}{15}+\frac{14}{45}+\frac{2}{9})\cdot10\frac{1}{3}-1\frac{1}{11}(2\frac{2}{3}-1,75)}{(\frac{3}{7}-0,25):\frac{3}{28}-1}\); 6) \(\frac{(6\frac{3}{5}-3\frac{3}{14})\cdot5\frac{5}{6}}{(21-1,25):2,5}\); 7) \(\frac{(1,75:\frac{2}{3}-1,75\cdot1\frac{1}{8}):\frac{7}{12}}{(\frac{17}{80}-0,0325):400}\); 8) \(\frac{2\frac{5}{8}-\frac{2}{3}\cdot2\frac{5}{14}}{(3\frac{1}{12}+4,375):19\frac{8}{9}}\); 9) \(\frac{(2,1-1,965):(1,2\cdot0,045)}{0,00325:0,013}-\frac{1:0,25}{1,6\cdot0,625}\); 10) \((46\frac{2}{25}:12+41\frac{23}{35}:260\frac{5}{14}+800:12\frac{28}{31})\cdot\frac{0,8\cdot7,2\cdot4,5\cdot1,3}{6,5\cdot2,7\cdot1,92}\).

Ответ:

  1. \(\frac{27}{20}:\frac{27}{10}+\frac{27}{10}:\frac{27}{20}+\left(\frac25:\frac52\right)\cdot\frac{39}{10}=\frac12+2+\frac{156}{125}=\frac{937}{250}\).
  2. \((\frac{23}{3}-\frac73):\frac43+\frac{7}{18}\cdot\frac{27}{14}=4+\frac34=\frac{19}{4}\).
  3. \(\frac{364}{225}+\frac{14}{25}+\frac12=\frac{241}{90}\).
  4. \(15:\frac{1,02:0,01}{34}=15:3=5\).
  5. \(\frac{1\cdot\frac{31}{3}-\frac{23}{11}}{\frac53-1}=\frac{254}{33}:\frac23=\frac{127}{11}\).
  6. \(\frac{\frac{237}{70}\cdot\frac56}{\frac{79}{4}:\frac52}=\frac{79}{28}:\frac{79}{10}=\frac5{14}\).
  7. \(\frac{\frac{21}{32}:\frac7{12}}{\frac9{50}:400}=\frac{9}{8}:72=\frac1{64}\).
  8. \(\frac{\frac{143}{56}}{\frac38}=\frac{143}{21}\).
  9. \(\frac{2,5}{0,25}-4=10-4=6\).
  10. \(\left(\frac{96}{25}+\frac4{25}+62\right)\cdot1=126\).

Ответы: 1) \(\frac{937}{250}\); 2) \(\frac{19}{4}\); 3) \(\frac{241}{90}\); 4) \(5\); 5) \(\frac{127}{11}\); 6) \(\frac5{14}\); 7) \(\frac1{64}\); 8) \(\frac{143}{21}\); 9) \(6\); 10) \(126\).