$1 \frac{1}{5} \cdot 8 \frac{2}{4}=$
\(\boxed{10 \frac{1}{5}}\)
Step 1 :\(1 \frac{1}{5} = \frac{6}{5}\)
Step 2 :\(8 \frac{2}{4} = \frac{34}{4}\)
Step 3 :\(\frac{6}{5} \cdot \frac{34}{4} = \frac{204}{20}\)
Step 4 :\(\frac{204}{20} = \frac{51}{5}\)
Step 5 :\(\frac{51}{5} = 10 \frac{1}{5}\)
Step 6 :\(\boxed{10 \frac{1}{5}}\)