1. (10 points) Calculate: $2 \frac{1}{6}+\left[\left(4.32-1.68-1 \frac{8}{25}\right) \times \frac{5}{11}-\frac{2}{7}\right] \div 1 \frac{9}{35}=$
【Analysis】First, simplify the expression inside the parentheses according to the properties of subtraction; then, calculate according to the order of operations for mixed arithmetic.

【Solution】Solve: $2 \frac{1}{6}+\left[\left(4.32-1.68-1 \frac{8}{25}\right) \times \frac{5}{11}-\frac{2}{7}\right] \div 1 \frac{9}{35}$
$$
\begin{array}{l}
=2 \frac{1}{6}+\left\{\left[4.32-\left(1.68-1 \frac{8}{25}\right)\right] \times \frac{5}{11}-\frac{2}{7}\right\} \div 1 \frac{9}{35} \\
=2 \frac{1}{6}+\left\{[4.32-3] \times \frac{5}{11}-\frac{2}{7}\right\} \div 1 \frac{9}{35} \\
=2 \frac{1}{6}+\left\{1.32 \times \frac{5}{11}-\frac{2}{7}\right\} \div 1 \frac{9}{35} \\
=2 \frac{1}{6}+\left\{0.6-\frac{2}{7}\right\} \div 1 \frac{9}{35} \\
=2 \frac{1}{6}+\frac{11}{35} \div \frac{44}{35} \\
=2 \frac{1}{6}+\frac{1}{4} \\
=2 \frac{5}{12}
\end{array}
$$

Therefore, the answer is: $2 \frac{5}{12}$.