Решите выражение (г): (6 - 4 \cdot \frac{1}{10}) : (9 + 1 : \frac{3}{8}) + 1\frac{3}{4}

1. \(4 \cdot \frac{1}{10} = \frac{4}{10} = \frac{2}{5}\) 2. \(6 - \frac{2}{5}\) Общий знаменатель 5. \(6 = \frac{30}{5}\) 3. \(\frac{30}{5} - \frac{2}{5} = \frac{28}{5}\) 4. \(1 : \frac{3}{8} = \frac{8}{3}\) 5. \(9 + \frac{8}{3}\) Общий знаменатель 3. \(9 = \frac{27}{3}\) 6. \(\frac{27}{3} + \frac{8}{3} = \frac{35}{3}\) 7. \(\frac{28}{5} : \frac{35}{3} = \frac{28}{5} \cdot \frac{3}{35} = \frac{4}{5} \cdot \frac{3}{5} = \frac{12}{25}\) 8. \(1\frac{3}{4} = \frac{7}{4}\) 9. \(\frac{12}{25} + \frac{7}{4}\) Общий знаменатель 100. \(\frac{12}{25} = \frac{48}{100}\) и \(\frac{7}{4} = \frac{175}{100}\) 10. \(\frac{48}{100} + \frac{175}{100} = \frac{223}{100} = 2\frac{23}{100}\) Ответ: (2\frac{23}{100}\)