1. (5 points) Calculate: $3 \frac{3}{4} \times 1.3 + 3 \div 2 \frac{2}{3}=$
$$
\begin{array}{l}
\text { [Solution] Solution: } 3 \frac{3}{4} \times 1.3+3 \div 2 \frac{2}{3} \\
=3.75 \times 1.3+3 \times \frac{3}{8} \\
=0.375 \times 13+3 \times \frac{3}{8} \\
=\frac{3}{8} \times 13+3 \times \frac{3}{8} \\
=(13+3) \times \frac{3}{8} \\
=16 \times \frac{3}{8} \\
=6
\end{array}
$$

Therefore, the answer is: 6.
$$