Выполним вычисления для каждого примера.

\( \frac{1}{3} + \frac{1}{6} = \frac{2}{6} + \frac{1}{6} = \frac{3}{6} = \frac{1}{2} \)
\( \frac{1}{2} + \frac{1}{3} = \frac{3}{6} + \frac{2}{6} = \frac{5}{6} \)
\( \frac{3}{5} - \frac{1}{10} = \frac{6}{10} - \frac{1}{10} = \frac{5}{10} = \frac{1}{2} \)
\( \frac{1}{12} + \frac{5}{6} = \frac{1}{12} + \frac{10}{12} = \frac{11}{12} \)
\( \frac{1}{3} + \frac{1}{4} = \frac{4}{12} + \frac{3}{12} = \frac{7}{12} \)
\( \frac{1}{3} + \frac{2}{5} = \frac{5}{15} + \frac{6}{15} = \frac{11}{15} \)
\( \frac{1}{2} - \frac{1}{4} = \frac{2}{4} - \frac{1}{4} = \frac{1}{4} \)
\( \frac{8}{7} - 1 = \frac{8}{7} - \frac{7}{7} = \frac{1}{7} \)
\( \frac{1}{4} - \frac{1}{5} = \frac{5}{20} - \frac{4}{20} = \frac{1}{20} \)
\( \frac{1}{2} + \frac{3}{7} = \frac{7}{14} + \frac{6}{14} = \frac{13}{14} \)

\( \frac{1}{3} - \frac{1}{6} = \frac{2}{6} - \frac{1}{6} = \frac{1}{6} \)
\( \frac{3}{20} + \frac{3}{4} = \frac{3}{20} + \frac{15}{20} = \frac{18}{20} = \frac{9}{10} \)
\( \frac{7}{9} - \frac{2}{3} = \frac{7}{9} - \frac{6}{9} = \frac{1}{9} \)
\( \frac{1}{4} + \frac{1}{5} = \frac{5}{20} + \frac{4}{20} = \frac{9}{20} \)
\( \frac{2}{5} + \frac{4}{15} = \frac{6}{15} + \frac{4}{15} = \frac{10}{15} = \frac{2}{3} \)
\( \frac{1}{3} + \frac{1}{4} = \frac{4}{12} + \frac{3}{12} = \frac{7}{12} \)
\( \frac{2}{3} - \frac{2}{5} = \frac{10}{15} - \frac{6}{15} = \frac{4}{15} \)
\( \frac{1}{5} - \frac{1}{6} = \frac{6}{30} - \frac{5}{30} = \frac{1}{30} \)
\( \frac{1}{2} + \frac{1}{4} = \frac{2}{4} + \frac{1}{4} = \frac{3}{4} \)
\( \frac{7}{6} - 1 = \frac{7}{6} - \frac{6}{6} = \frac{1}{6} \)
\( \frac{1}{2} + \frac{2}{7} = \frac{7}{14} + \frac{4}{14} = \frac{11}{14} \)

\( \frac{11}{20} - \frac{5}{12} = \frac{33}{60} - \frac{25}{60} = \frac{8}{60} = \frac{2}{15} \)
\( \frac{8}{9} + \frac{7}{54} = \frac{48}{54} + \frac{7}{54} = \frac{55}{54} = 1 \frac{1}{54} \)
\( \frac{5}{6} - \frac{17}{21} = \frac{35}{42} - \frac{34}{42} = \frac{1}{42} \)
\( \frac{3}{16} + \frac{1}{24} = \frac{9}{48} + \frac{2}{48} = \frac{11}{48} \)
\( \frac{5}{6} - \frac{22}{27} = \frac{45}{54} - \frac{44}{54} = \frac{1}{54} \)
\( \frac{7}{25} - \frac{4}{15} = \frac{21}{75} - \frac{20}{75} = \frac{1}{75} \)
\( \frac{3}{10} + \frac{1}{6} = \frac{9}{30} + \frac{5}{30} = \frac{14}{30} = \frac{7}{15} \)
\( \frac{2}{5} - \frac{11}{30} = \frac{12}{30} - \frac{11}{30} = \frac{1}{30} \)
\( \frac{3}{8} + \frac{7}{20} = \frac{15}{40} + \frac{14}{40} = \frac{29}{40} \)
\( \frac{1}{6} - \frac{1}{7} = \frac{7}{42} - \frac{6}{42} = \frac{1}{42} \)
\( \frac{5}{9} + \frac{7}{15} = \frac{25}{45} + \frac{21}{45} = \frac{46}{45} = 1 \frac{1}{45} \)
\( \frac{3}{8} + \frac{19}{56} = \frac{21}{56} + \frac{19}{56} = \frac{40}{56} = \frac{5}{7} \)
\( \frac{19}{45} - \frac{7}{18} = \frac{38}{90} - \frac{35}{90} = \frac{3}{90} = \frac{1}{30} \)
\( \frac{1}{4} - \frac{1}{8} = \frac{2}{8} - \frac{1}{8} = \frac{1}{8} \)
\( \frac{11}{14} + \frac{8}{21} = \frac{33}{42} + \frac{16}{42} = \frac{49}{42} = \frac{7}{6} = 1 \frac{1}{6} \)

Ответ: Результаты вычислений представлены в таблице ниже.

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