6. \(\frac{3}{8}+\frac{5}{12}-\frac{1}{6}\)

Общий знаменатель дробей — 24:

\(\frac{3}{8}=\frac{9}{24}\), \(\frac{5}{12}=\frac{10}{24}\), \(\frac{1}{6}=\frac{4}{24}\).

\(\frac{9}{24}+\frac{10}{24}-\frac{4}{24}=\frac{15}{24}=\frac{5}{8}\).

Ответ: \(\frac{5}{8}\).