Вычислите: $0,75 - \left(\frac{3}{16} + \frac{1}{24}\right)$

1. $$0,75 - \left(\frac{3}{16} + \frac{1}{24}\right) = \frac{3}{4} - \left(\frac{9}{48} + \frac{2}{48}\right) = \frac{3}{4} - \frac{11}{48} = \frac{36}{48} - \frac{11}{48} = \frac{25}{48}$$ 2. $$\frac{9}{16} + \left(0,25 - \frac{5}{24}\right) = \frac{9}{16} + \left(\frac{1}{4} - \frac{5}{24}\right) = \frac{9}{16} + \left(\frac{6}{24} - \frac{5}{24}\right) = \frac{9}{16} + \frac{1}{24} = \frac{27}{48} + \frac{2}{48} = \frac{29}{48}$$ 3. $$0,88 - \frac{2}{15} = \frac{88}{100} - \frac{2}{15} = \frac{22}{25} - \frac{2}{15} = \frac{66}{75} - \frac{10}{75} = \frac{56}{75}$$ 4. $$\left(\frac{1}{6} + \frac{5}{18}\right) - \left(\frac{1}{18} + \frac{1}{24}\right) = \left(\frac{3}{18} + \frac{5}{18}\right) - \left(\frac{4}{72} + \frac{3}{72}\right) = \frac{8}{18} - \frac{7}{72} = \frac{4}{9} - \frac{7}{72} = \frac{32}{72} - \frac{7}{72} = \frac{25}{72}$$ 5. $$4 - 2\frac{4}{7} = 3\frac{7}{7} - 2\frac{4}{7} = 1\frac{3}{7}$$ 6. $$2,5 + 1\frac{2}{3} - 3\frac{1}{6} = 2\frac{1}{2} + 1\frac{2}{3} - 3\frac{1}{6} = \frac{5}{2} + \frac{5}{3} - \frac{19}{6} = \frac{15}{6} + \frac{10}{6} - \frac{19}{6} = \frac{25-19}{6} = \frac{6}{6} = 1$$ 7. $$0,36 - \frac{9}{75} + \frac{2}{15} = \frac{36}{100} - \frac{9}{75} + \frac{2}{15} = \frac{9}{25} - \frac{3}{25} + \frac{2}{15} = \frac{6}{25} + \frac{2}{15} = \frac{18}{75} + \frac{10}{75} = \frac{28}{75}$$ 8. $$\left(\frac{1}{2} - \frac{1}{3}\right) - \left(\frac{1}{4} - \frac{1}{5}\right) = \left(\frac{3}{6} - \frac{2}{6}\right) - \left(\frac{5}{20} - \frac{4}{20}\right) = \frac{1}{6} - \frac{1}{20} = \frac{10}{60} - \frac{3}{60} = \frac{7}{60}$$ 9. $$3\frac{2}{9} + 4\frac{1}{6} - 1\frac{8}{27} = \frac{29}{9} + \frac{25}{6} - \frac{35}{27} = \frac{174}{54} + \frac{225}{54} - \frac{70}{54} = \frac{174+225-70}{54} = \frac{329}{54} = 6\frac{5}{54}$$ 10. $$11 - 6\frac{2}{3} - 3\frac{5}{7} = 11 - \frac{20}{3} - \frac{26}{7} = \frac{231}{21} - \frac{140}{21} - \frac{78}{21} = \frac{231 - 140 - 78}{21} = \frac{13}{21}$$ 11. $$\frac{27}{75} + 0,32 - \frac{7}{15} = \frac{9}{25} + \frac{32}{100} - \frac{7}{15} = \frac{9}{25} + \frac{8}{25} - \frac{7}{15} = \frac{17}{25} - \frac{7}{15} = \frac{51}{75} - \frac{35}{75} = \frac{16}{75}$$ 12. $$\left(\frac{1}{3} - \frac{1}{4}\right) - \left(\frac{1}{5} - \frac{1}{6}\right) = \left(\frac{4}{12} - \frac{3}{12}\right) - \left(\frac{6}{30} - \frac{5}{30}\right) = \frac{1}{12} - \frac{1}{30} = \frac{5}{60} - \frac{2}{60} = \frac{3}{60} = \frac{1}{20}$$ 13. $$5\frac{7}{12} - 2\frac{4}{9} + 1\frac{5}{18} = \frac{67}{12} - \frac{22}{9} + \frac{23}{18} = \frac{201}{36} - \frac{88}{36} + \frac{46}{36} = \frac{201 - 88 + 46}{36} = \frac{159}{36} = 4\frac{15}{36} = 4\frac{5}{12}$$ 14. $$10 - 3\frac{4}{5} - 5\frac{2}{3} = 10 - \frac{19}{5} - \frac{17}{3} = \frac{150}{15} - \frac{57}{15} - \frac{85}{15} = \frac{150 - 57 - 85}{15} = \frac{8}{15}$$ 15. $$\frac{3}{4} \cdot \frac{8}{9} = \frac{3 \cdot 8}{4 \cdot 9} = \frac{1 \cdot 2}{1 \cdot 3} = \frac{2}{3}$$ 16. $$1\frac{7}{8} \cdot 0,4 = \frac{15}{8} \cdot \frac{4}{10} = \frac{15 \cdot 4}{8 \cdot 10} = \frac{3 \cdot 1}{2 \cdot 2} = \frac{3}{4}$$ 17. $$1\frac{1}{3} \cdot \frac{3}{7} + \frac{4}{7} \cdot 1\frac{1}{3} = 1\frac{1}{3} \left(\frac{3}{7} + \frac{4}{7}\right) = 1\frac{1}{3} \cdot \frac{7}{7} = 1\frac{1}{3} \cdot 1 = 1\frac{1}{3}$$ 18. $$\frac{5}{7} \cdot \frac{21}{25} = \frac{5 \cdot 21}{7 \cdot 25} = \frac{1 \cdot 3}{1 \cdot 5} = \frac{3}{5}$$ 19. $$2\frac{1}{12} \cdot 0,8 = \frac{25}{12} \cdot \frac{8}{10} = \frac{25 \cdot 8}{12 \cdot 10} = \frac{5 \cdot 2}{3 \cdot 2} = \frac{5}{3} = 1\frac{2}{3}$$ 20. $$2\frac{1}{4} \cdot \frac{7}{9} + \frac{2}{9} \cdot 2\frac{1}{4} = 2\frac{1}{4} \left(\frac{7}{9} + \frac{2}{9}\right) = 2\frac{1}{4} \cdot \frac{9}{9} = 2\frac{1}{4} \cdot 1 = 2\frac{1}{4}$$ 21. $$\frac{4}{9} \cdot \frac{3}{5} + 0,8 - 1\frac{1}{3} = \frac{4}{9} \cdot \frac{3}{5} + \frac{4}{5} - \frac{4}{3} = \frac{4 \cdot 3}{9 \cdot 5} + \frac{4}{5} - \frac{4}{3} = \frac{4}{15} + \frac{4}{5} - \frac{4}{3} = \frac{4}{15} + \frac{12}{15} - \frac{20}{15} = \frac{16-20}{15} = -\frac{4}{15}$$ 22. $$2\frac{9}{13} \cdot 1,3 = \frac{35}{13} \cdot \frac{13}{10} = \frac{35}{10} = 3,5$$ 23. $$0,2 \cdot 3\frac{2}{3} - \frac{1}{5} \cdot 1\frac{1}{6} = \frac{1}{5} \cdot \frac{11}{3} - \frac{1}{5} \cdot \frac{7}{6} = \frac{1}{5} \left(\frac{11}{3} - \frac{7}{6}\right) = \frac{1}{5} \left(\frac{22}{6} - \frac{7}{6}\right) = \frac{1}{5} \cdot \frac{15}{6} = \frac{1 \cdot 3}{1 \cdot 6} = \frac{3}{6} = \frac{1}{2}$$ 24. $$\left(\frac{4}{7} - \frac{1}{3} + \frac{5}{6}\right) \cdot 42 = \left(\frac{24}{42} - \frac{14}{42} + \frac{35}{42}\right) \cdot 42 = \left(\frac{24-14+35}{42}\right) \cdot 42 = \frac{45}{42} \cdot 42 = 45$$ 25. $$2\frac{11}{15} \cdot 1\frac{1}{19} - 1\frac{1}{19} \cdot 0,2 = 1\frac{1}{19} \left(2\frac{11}{15} - 0,2\right) = \frac{20}{19} \left(\frac{41}{15} - \frac{1}{5}\right) = \frac{20}{19} \left(\frac{41}{15} - \frac{3}{15}\right) = \frac{20}{19} \cdot \frac{38}{15} = \frac{20 \cdot 38}{19 \cdot 15} = \frac{4 \cdot 2}{1 \cdot 3} = \frac{8}{3} = 2\frac{2}{3}$$ 26. $$\left(\frac{3}{4} - \frac{1}{9} + \frac{2}{3}\right) \cdot 36 = \left(\frac{27}{36} - \frac{4}{36} + \frac{24}{36}\right) \cdot 36 = \left(\frac{27-4+24}{36}\right) \cdot 36 = \frac{47}{36} \cdot 36 = 47$$ 27. $$2\frac{2}{7} \cdot 4\frac{7}{8} + 1,25 \cdot 2\frac{2}{7} = 2\frac{2}{7} \left(4\frac{7}{8} + 1,25\right) = \frac{16}{7} \left(\frac{39}{8} + \frac{5}{4}\right) = \frac{16}{7} \left(\frac{39}{8} + \frac{10}{8}\right) = \frac{16}{7} \cdot \frac{49}{8} = \frac{16 \cdot 49}{7 \cdot 8} = \frac{2 \cdot 7}{1 \cdot 1} = 14$$ 28. $$\frac{9}{6} : \frac{6}{9} = \frac{3}{2} : \frac{2}{3} = \frac{3}{2} \cdot \frac{3}{2} = \frac{9}{4} = 2\frac{1}{4}$$ 29. $$3\frac{1}{3} : 10 = \frac{10}{3} : 10 = \frac{10}{3} \cdot \frac{1}{10} = \frac{1}{3}$$ 30. $$3,75 : \left(\frac{3}{8} : 1\frac{3}{7}\right) = 3,75 : \left(\frac{3}{8} : \frac{10}{7}\right) = 3,75 : \left(\frac{3}{8} \cdot \frac{7}{10}\right) = 3,75 : \frac{21}{80} = \frac{15}{4} \cdot \frac{80}{21} = \frac{15 \cdot 20}{1 \cdot 21} = \frac{5 \cdot 20}{1 \cdot 7} = \frac{100}{7} = 14\frac{2}{7}$$ 31. $$6\frac{1}{8} : 8\frac{1}{6} = \frac{49}{8} : \frac{49}{6} = \frac{49}{8} \cdot \frac{6}{49} = \frac{6}{8} = \frac{3}{4}$$ 32. $$2\frac{1}{5} : 11 = \frac{11}{5} : 11 = \frac{11}{5} \cdot \frac{1}{11} = \frac{1}{5}$$ 33. $$7,6 : \left(\frac{2}{5} : \frac{10}{19}\right) = 7,6 : \left(\frac{2}{5} \cdot \frac{19}{10}\right) = 7,6 : \frac{38}{50} = 7,6 : \frac{19}{25} = \frac{76}{10} \cdot \frac{25}{19} = \frac{38}{5} \cdot \frac{25}{19} = \frac{2}{1} \cdot \frac{5}{1} = 10$$ 34. $$2\frac{1}{13} : \frac{9}{26} = \frac{27}{13} : \frac{9}{26} = \frac{27}{13} \cdot \frac{26}{9} = \frac{3 \cdot 2}{1 \cdot 1} = 6$$ 35. $$1\frac{6}{15} : 1,2 = 1\frac{2}{5} : 1\frac{1}{5} = \frac{7}{5} : \frac{6}{5} = \frac{7}{5} \cdot \frac{5}{6} = \frac{7}{6} = 1\frac{1}{6}$$ 36. $$\frac{3}{8} \cdot 2\frac{2}{7} \cdot 4\frac{2}{3} = \frac{3}{8} \cdot \frac{16}{7} \cdot \frac{14}{3} = \frac{3 \cdot 16 \cdot 14}{8 \cdot 7 \cdot 3} = \frac{1 \cdot 2 \cdot 2}{1 \cdot 1 \cdot 1} = 4$$ 37. $$\left(\frac{1}{3}\right)^3 \cdot 8,1 = \frac{1}{27} \cdot \frac{81}{10} = \frac{1 \cdot 3}{1 \cdot 10} = \frac{3}{10} = 0,3$$ 38. $$7\frac{6}{7} \cdot 1\frac{6}{11} + 3\frac{1}{7} \cdot 1\frac{3}{11} = 7\frac{6}{7} \cdot 1\frac{6}{11} + 3\frac{1}{7} \cdot 1\frac{3}{11} = \frac{55}{7} \cdot \frac{17}{11} + \frac{22}{7} \cdot \frac{14}{11} = \frac{5 \cdot 17}{7} + \frac{2 \cdot 2}{1} = \frac{85}{7} + 4 = 12\frac{1}{7} + 4 = 16\frac{1}{7}$$ 39. $$5\frac{5}{6} \cdot 1\frac{7}{11} - 4,4 = \frac{35}{6} \cdot \frac{18}{11} - 4,4 = \frac{35 \cdot 3}{1 \cdot 11} - 4,4 = \frac{105}{11} - \frac{44}{10} = \frac{105}{11} - \frac{22}{5} = \frac{525}{55} - \frac{242}{55} = \frac{283}{55} = 5\frac{8}{55}$$ 40. $$\left(\frac{2}{7}\right)^2 \cdot 6\frac{1}{8} = \frac{4}{49} \cdot \frac{49}{8} = \frac{4 \cdot 1}{1 \cdot 8} = \frac{4}{8} = \frac{1}{2}$$ 41. $$5\frac{5}{6} \cdot 1\frac{5}{7} + 1\frac{1}{6} \cdot \frac{3}{7} = \frac{35}{6} \cdot \frac{12}{7} + \frac{7}{6} \cdot \frac{3}{7} = \frac{5 \cdot 2}{1 \cdot 1} + \frac{1 \cdot 1}{2 \cdot 1} = 10 + \frac{1}{2} = 10\frac{1}{2}$$