1. Выполните действия: a) \(\frac{16}{23} - \frac{12}{23} + \frac{3}{23}\); б) \(2\frac{5}{11} + 6\frac{7}{11}\); в) \(7 - 4\frac{4}{5}\); г) \(5\frac{4}{13} - 3\frac{9}{13}\).

1. Выполните действия:

a) \(\frac{16}{23} - \frac{12}{23} + \frac{3}{23}\) = \(\frac{16-12+3}{23}\) = \(\frac{7}{23}\)

Ответ: \(\frac{7}{23}\)

б) \(2\frac{5}{11} + 6\frac{7}{11}\) = \((2 + 6) + (\frac{5}{11} + \frac{7}{11})\) = \(8 + \frac{12}{11}\) = \(8 + 1\frac{1}{11}\) = \(9\frac{1}{11}\)

Ответ: \(9\frac{1}{11}\)

в) \(7 - 4\frac{4}{5}\) = \(6\frac{5}{5} - 4\frac{4}{5}\) = \((6 - 4) + (\frac{5}{5} - \frac{4}{5})\) = \(2\frac{1}{5}\)

Ответ: \(2\frac{1}{5}\)

г) \(5\frac{4}{13} - 3\frac{9}{13}\) = \(4\frac{17}{13} - 3\frac{9}{13}\) = \((4-3) + (\frac{17}{13} - \frac{9}{13})\) = \(1\frac{8}{13}\)

Ответ: \(1\frac{8}{13}\)