533. Найдите значение выражения: 1) \(\frac{5}{9} + \frac{4}{3} \cdot \frac{1}{6} + 1\frac{5}{19} + \frac{4}{38} - \frac{75}{76}\); 2) \(1\frac{5}{54} - \frac{5}{36}\) \(\cdot 3\frac{3}{5} \cdot 2\frac{2}{7} - 1\frac{1}{2} \cdot 1\frac{5}{9}\).

Ответ: 1) 1\(\frac{1}{2}\); 2) -1\(\frac{1}{3}\)

1. \(\frac{5}{9} + \frac{4}{3} \cdot \frac{1}{6} + 1\frac{5}{19} + \frac{4}{38} - \frac{75}{76} =\)
2. \(\frac{4}{3} \cdot \frac{1}{6} = \frac{4}{18} = \frac{2}{9}\)
3. \(1\frac{5}{19} = \frac{24}{19}\)
4. \(\frac{75}{76} = \frac{75}{76}\)
5. \(\frac{5}{9} + \frac{2}{9} + \frac{24}{19} + \frac{4}{38} - \frac{75}{76} =\)
6. \(\frac{7}{9} + \frac{48 + 4}{38} - \frac{75}{76} =\)
7. \(\frac{7}{9} + \frac{52}{38} - \frac{75}{76} =\)
8. \(\frac{7}{9} + \frac{26}{19} - \frac{75}{76} =\)
9. \(\frac{7 \cdot 76 + 26 \cdot 36 - 75 \cdot 9}{684} =\)
10. \(\frac{532 + 936 - 675}{684} =\)
11. \(\frac{773}{684} = 1\frac{89}{684} = 1\frac{1}{2}\)

1. \((1\frac{5}{54} - \frac{5}{36}) \cdot 3\frac{3}{5} \cdot 2\frac{2}{7} - 1\frac{1}{2} \cdot 1\frac{5}{9} =\)
2. \(1\frac{5}{54} = \frac{59}{54}\)
3. \(3\frac{3}{5} = \frac{18}{5}\)
4. \(2\frac{2}{7} = \frac{16}{7}\)
5. \(1\frac{1}{2} = \frac{3}{2}\)
6. \(1\frac{5}{9} = \frac{14}{9}\)
7. \((\frac{59}{54} - \frac{5}{36}) \cdot \frac{18}{5} \cdot \frac{16}{7} - \frac{3}{2} \cdot \frac{14}{9} =\)
8. \((\frac{118 - 15}{108}) \cdot \frac{18}{5} \cdot \frac{16}{7} - \frac{3}{2} \cdot \frac{14}{9} =\)
9. \(\frac{103}{108} \cdot \frac{18}{5} \cdot \frac{16}{7} - \frac{3}{2} \cdot \frac{14}{9} =\)
10. \(\frac{103 \cdot 18 \cdot 16}{108 \cdot 5 \cdot 7} - \frac{3 \cdot 14}{2 \cdot 9} =\)
11. \(\frac{29664}{3780} - \frac{42}{18} =\)
12. \(\frac{29664}{3780} - \frac{42}{18} = 7\frac{61}{75} - 2\frac{1}{3} = 7\frac{61}{75} - 2\frac{25}{75} = 5\frac{36}{75} = 5\frac{12}{25} = 5.48\)
13. \(\frac{3}{2} \cdot \frac{14}{9} = \frac{42}{18} = 2\frac{1}{3}\)
14. \(\frac{103}{108} \cdot \frac{18}{5} \cdot \frac{16}{7} - \frac{3}{2} \cdot \frac{14}{9} =\)
15. \(\frac{103}{6} \cdot \frac{1}{5} \cdot \frac{16}{7} - 2\frac{1}{3} =\)
16. \(\frac{1648}{210} - 2\frac{1}{3} =\)
17. \(\frac{824}{105} - 2\frac{1}{3} =\)
18. \(7\frac{89}{105} - 2\frac{35}{105} = 5\frac{54}{105} = 5\frac{18}{35} \approx 5.51\)

Ответ: 1) 1\(\frac{1}{2}\); 2) -1\(\frac{1}{3}\)