Ответ:
\(\frac{4}{9}\cdot\left(\frac{3}{4}+\frac{1}{2}\right)-\frac{1}{6}:\frac{1}{3}+\frac{1}{2}\)
\(\frac{3}{4}+\frac{1}{2}=\frac{5}{4}\)
\(\frac{4}{9}\cdot\frac{5}{4}=\frac{5}{9}\)
\(\frac{1}{6}:\frac{1}{3}=\frac{1}{6}\cdot3=\frac{1}{2}\)
\(\frac{5}{9}-\frac{1}{2}+\frac{1}{2}=\frac{5}{9}\)
Ответ: \(\frac{5}{9}\)
