1. (5 points) Calculate: $\frac{3 \frac{3}{4} \times 0.2}{135} \times 5.4=$
【Solution】Solve: $\frac{3 \frac{3}{4} \times 0.2}{135} \times 5.4$
$$
\begin{array}{l}
=3 \frac{3}{4} \times \frac{1}{5} \times \frac{1}{135} \times \frac{27}{5} \\
=\frac{15}{4} \times \frac{1}{5} \times \frac{1}{5 \times 27} \times \frac{27}{5} \\
=\frac{3}{100} \\
=0.03
\end{array}
$$

Therefore, the answer is: 0.03.