\[1\frac{8}{25} \cdot 1\frac{4}{11} = \frac{33}{25} \cdot \frac{15}{11} = \frac{3 \cdot 11 \cdot 5 \cdot 3}{5 \cdot 5 \cdot 11} =\]
\[= \frac{9}{5} = 1\frac{4}{5}\]