2. Выполнить действия: A) \(\frac{5}{8} + \frac{3}{7} =\) Б) \(1\frac{1}{5} + 2\frac{3}{10} =\) B) \(\frac{17}{20} - \frac{3}{4} =\) Г) \(\frac{5}{6} - \frac{2}{9} =\)

A) \(\frac{5}{8} + \frac{3}{7} = \frac{5 \times 7}{8 \times 7} + \frac{3 \times 8}{7 \times 8} = \frac{35}{56} + \frac{24}{56} = \frac{35 + 24}{56} = \frac{59}{56} = 1\frac{3}{56}\)

Б) \(1\frac{1}{5} + 2\frac{3}{10} = 1\frac{2}{10} + 2\frac{3}{10} = (1 + 2) + (\frac{2}{10} + \frac{3}{10}) = 3 + \frac{5}{10} = 3\frac{1}{2}\)

B) \(\frac{17}{20} - \frac{3}{4} = \frac{17}{20} - \frac{3 \times 5}{4 \times 5} = \frac{17}{20} - \frac{15}{20} = \frac{17-15}{20} = \frac{2}{20} = \frac{1}{10}\)

Г) \(\frac{5}{6} - \frac{2}{9} = \frac{5 \times 3}{6 \times 3} - \frac{2 \times 2}{9 \times 2} = \frac{15}{18} - \frac{4}{18} = \frac{15-4}{18} = \frac{11}{18}\)

Ответ: А) \(1\frac{3}{56}\); Б) \(3\frac{1}{2}\); B) \(\frac{1}{10}\); Г) \(\frac{11}{18}\)