Вариант 1: 1) \(\frac{2}{5} + \frac{1}{10}\) 2) \(\frac{5}{6} + \frac{2}{3}\) 3) \(\frac{3}{4} + \frac{7}{12}\) 4) \(\frac{2}{15} + \frac{4}{5}\) 5) \(\frac{5}{7} + \frac{3}{14}\) 6) \(\frac{3}{11} + \frac{6}{55}\) 7) \(\frac{1}{6} + \frac{1}{9}\) 8) \(\frac{1}{10} + \frac{1}{15}\) 9) \(\frac{2}{8} + \frac{1}{12}\) 10) \(\frac{1}{9} + \frac{1}{2}\)

Вариант 1

1. \(\frac{2}{5} + \frac{1}{10} = \frac{2 \times 2}{5 \times 2} + \frac{1}{10} = \frac{4}{10} + \frac{1}{10} = \frac{4+1}{10} = \frac{5}{10} = \frac{1}{2}\)

2. \(\frac{5}{6} + \frac{2}{3} = \frac{5}{6} + \frac{2 \times 2}{3 \times 2} = \frac{5}{6} + \frac{4}{6} = \frac{5+4}{6} = \frac{9}{6} = \frac{3}{2} = 1\frac{1}{2}\)

3. \(\frac{3}{4} + \frac{7}{12} = \frac{3 \times 3}{4 \times 3} + \frac{7}{12} = \frac{9}{12} + \frac{7}{12} = \frac{9+7}{12} = \frac{16}{12} = \frac{4}{3} = 1\frac{1}{3}\)

4. \(\frac{2}{15} + \frac{4}{5} = \frac{2}{15} + \frac{4 \times 3}{5 \times 3} = \frac{2}{15} + \frac{12}{15} = \frac{2+12}{15} = \frac{14}{15}\)

5. \(\frac{5}{7} + \frac{3}{14} = \frac{5 \times 2}{7 \times 2} + \frac{3}{14} = \frac{10}{14} + \frac{3}{14} = \frac{10+3}{14} = \frac{13}{14}\)

6. \(\frac{3}{11} + \frac{6}{55} = \frac{3 \times 5}{11 \times 5} + \frac{6}{55} = \frac{15}{55} + \frac{6}{55} = \frac{15+6}{55} = \frac{21}{55}\)

7. \(\frac{1}{6} + \frac{1}{9} = \frac{1 \times 3}{6 \times 3} + \frac{1 \times 2}{9 \times 2} = \frac{3}{18} + \frac{2}{18} = \frac{3+2}{18} = \frac{5}{18}\)

8. \(\frac{1}{10} + \frac{1}{15} = \frac{1 \times 3}{10 \times 3} + \frac{1 \times 2}{15 \times 2} = \frac{3}{30} + \frac{2}{30} = \frac{3+2}{30} = \frac{5}{30} = \frac{1}{6}\)

9. \(\frac{2}{8} + \frac{1}{12} = \frac{1}{4} + \frac{1}{12} = \frac{1 \times 3}{4 \times 3} + \frac{1}{12} = \frac{3}{12} + \frac{1}{12} = \frac{3+1}{12} = \frac{4}{12} = \frac{1}{3}\)

10. \(\frac{1}{9} + \frac{1}{2} = \frac{1 \times 2}{9 \times 2} + \frac{1 \times 9}{2 \times 9} = \frac{2}{18} + \frac{9}{18} = \frac{2+9}{18} = \frac{11}{18}\)