2. а) \(3\frac{5}{6} - 2.75 + 5\frac{5}{12}\) б) \(3\frac{3}{4} - 3.75 + 8\frac{8}{9}\)

Решение:

2.

1. а) \(3 \frac{5}{6} - 2.75 + 5 \frac{5}{12} = 3 \frac{10}{12} - 2 \frac{3}{4} + 5 \frac{5}{12} = 3 \frac{10}{12} - 2 \frac{9}{12} + 5 \frac{5}{12} = (3-2+5) + (\frac{10}{12} - \frac{9}{12} + \frac{5}{12}) = 6 + \frac{10-9+5}{12} = 6 + \frac{6}{12} = 6 + \frac{1}{2} = 6 \frac{1}{2}\)
2. б) \(3 \frac{3}{4} - 3.75 + 8 \frac{8}{9} = 3 \frac{3}{4} - 3 \frac{3}{4} + 8 \frac{8}{9} = 0 + 8 \frac{8}{9} = 8 \frac{8}{9}\)

Ответ: а) \(6 \frac{1}{2}\); б) \(8 \frac{8}{9}\).