№2. Выполните действия: а) \(30\frac{16}{43} + 42\frac{19}{43} + 9\frac{8}{43}\) б) \(4\frac{112}{113} + 7\frac{101}{113}\) в) \(21\frac{29}{48} - 4\frac{5}{48}\) г) \(180 - \frac{179}{180}\) д) \(23\frac{4}{19} - 22\frac{7}{19}\)

Решение: а) \(30\frac{16}{43} + 42\frac{19}{43} + 9\frac{8}{43} = (30 + 42 + 9) + (\frac{16}{43} + \frac{19}{43} + \frac{8}{43}) = 81 + \frac{16 + 19 + 8}{43} = 81 + \frac{43}{43} = 81 + 1 = 82\) Ответ: 82 б) \(4\frac{112}{113} + 7\frac{101}{113} = (4 + 7) + (\frac{112}{113} + \frac{101}{113}) = 11 + \frac{112 + 101}{113} = 11 + \frac{213}{113} = 11 + 1\frac{100}{113} = 12\frac{100}{113}\) Ответ: \(12\frac{100}{113}\) в) \(21\frac{29}{48} - 4\frac{5}{48} = (21 - 4) + (\frac{29}{48} - \frac{5}{48}) = 17 + \frac{29 - 5}{48} = 17 + \frac{24}{48} = 17 + \frac{1}{2} = 17\frac{1}{2}\) Ответ: \(17\frac{1}{2}\) г) \(180 - \frac{179}{180} = 179 + 1 - \frac{179}{180} = 179 + \frac{180 - 179}{180} = 179 + \frac{1}{180} = 179\frac{1}{180}\) Ответ: \(179\frac{1}{180}\) д) \(23\frac{4}{19} - 22\frac{7}{19} = (23 - 22) + (\frac{4}{19} - \frac{7}{19}) = 1 + \frac{4 - 7}{19} = 1 - \frac{3}{19} = \frac{19}{19} - \frac{3}{19} = \frac{16}{19}\) Ответ: \(\frac{16}{19}\)