1) \(\frac{2}{9} \cdot \frac{6}{5}: \frac{8}{15}=\frac{2}{9} \cdot \frac{6}{5}: \frac{8}{15}=\frac{2 \cdot 6 \cdot 8}{9 \cdot 5 \cdot 15}=\frac{4 \cdot 15}{15 \cdot 8}=\frac{1 \cdot 15}{1 \cdot 28}=\frac{1}{2}\)