Ответ:

Приводим дроби в каждом выражении к наименьшему общему знаменателю и выполняем действия по порядку.

  1. \(\frac{5}{12}+\frac{3}{8}=\frac{10}{24}+\frac{9}{24}=\frac{19}{24}\).
  2. \(\frac{4}{7}-\frac{2}{5}=\frac{20}{35}-\frac{14}{35}=\frac{6}{35}\).
  3. \(\frac{1}{3}+\frac{1}{4}+\frac{1}{6}=\frac{4}{12}+\frac{3}{12}+\frac{2}{12}=\frac{9}{12}=\frac{3}{4}\).
  4. \(\frac{5}{6}-\frac{3}{8}+\frac{1}{4}=\frac{20}{24}-\frac{9}{24}+\frac{6}{24}=\frac{17}{24}\).
  5. \(\frac{4}{9}+\frac{5}{12}-\frac{1}{6}=\frac{16}{36}+\frac{15}{36}-\frac{6}{36}=\frac{25}{36}\).
  6. \(\frac{7}{10}-\frac{2}{15}+\frac{1}{5}=\frac{21}{30}-\frac{4}{30}+\frac{6}{30}=\frac{23}{30}\).
  7. \(\frac{2}{5}+\frac{3}{7}-\frac{1}{2}=\frac{28}{70}+\frac{30}{70}-\frac{35}{70}=\frac{23}{70}\).
  8. \(\frac{9}{14}-\frac{1}{4}+\frac{3}{7}=\frac{18}{28}-\frac{7}{28}+\frac{12}{28}=\frac{23}{28}\).
  9. \(\frac{5}{9}+\frac{7}{12}-\frac{3}{4}=\frac{20}{36}+\frac{21}{36}-\frac{27}{36}=\frac{14}{36}=\frac{7}{18}\).
  10. \(\frac{11}{15}-\frac{3}{10}+\frac{2}{5}=\frac{22}{30}-\frac{9}{30}+\frac{12}{30}=\frac{25}{30}=\frac{5}{6}\).