Ответ:

При сложении и вычитании дробей приводим их к общему знаменателю и сокращаем результат.

  1. \(\frac{1}{3}+\frac{1}{6}=\frac{2}{6}+\frac{1}{6}=\frac{1}{2}\)
  2. \(\frac{1}{2}+\frac{1}{3}=\frac{3}{6}+\frac{2}{6}=\frac{5}{6}\)
  3. \(\frac{3}{5}-\frac{1}{10}=\frac{6}{10}-\frac{1}{10}=\frac{1}{2}\)
  4. \(\frac{1}{12}+\frac{5}{6}=\frac{1}{12}+\frac{10}{12}=\frac{11}{12}\)
  5. \(\frac{1}{3}+\frac{1}{4}=\frac{4}{12}+\frac{3}{12}=\frac{7}{12}\)
  6. \(\frac{1}{3}+\frac{2}{5}=\frac{5}{15}+\frac{6}{15}=\frac{11}{15}\)
  7. \(\frac{1}{2}-\frac{1}{4}=\frac{2}{4}-\frac{1}{4}=\frac{1}{4}\)
  8. \(\frac{8}{7}-1=\frac{8}{7}-\frac{7}{7}=\frac{1}{7}\)
  9. \(\frac{1}{4}-\frac{1}{5}=\frac{5}{20}-\frac{4}{20}=\frac{1}{20}\)
  10. \(\frac{1}{2}+\frac{3}{7}=\frac{7}{14}+\frac{6}{14}=\frac{13}{14}\)
  11. \(\frac{3}{4}-\frac{1}{8}=\frac{6}{8}-\frac{1}{8}=\frac{5}{8}\)
  12. \(\frac{1}{5}+\frac{1}{6}=\frac{6}{30}+\frac{5}{30}=\frac{11}{30}\)
  13. \(\frac{4}{15}+\frac{2}{5}=\frac{4}{15}+\frac{6}{15}=\frac{2}{3}\)
  14. \(\frac{7}{10}-\frac{1}{2}=\frac{7}{10}-\frac{5}{10}=\frac{1}{5}\)
  15. \(\frac{1}{3}-\frac{1}{4}=\frac{4}{12}-\frac{3}{12}=\frac{1}{12}\)