1. (10 points) $3 \frac{4}{5}+5 \frac{6}{7}+7 \frac{8}{9}+9 \frac{10}{11}=$
【Analysis】 $3 \frac{4}{5}=4-\frac{1}{5}, 5 \frac{6}{7}=6-\frac{1}{7}, 7 \frac{8}{9}=8-\frac{1}{9}, 9 \frac{10}{11}=10-\frac{1}{11}$, transform accordingly, then simplify the calculation according to the associative law of addition and the properties of subtraction.
【Solution】Solution: $3 \frac{4}{5}+5 \frac{6}{7}+7 \frac{8}{9}+9 \frac{10}{11}$
$$
\begin{array}{l}
=\left(4-\frac{1}{5}\right)+\left(6-\frac{1}{7}\right)+\left(8-\frac{1}{9}\right)+\left(10-\frac{1}{11}\right) \\
=(4+6+8+10)-\left(\frac{1}{5}+\frac{1}{7}+\frac{1}{9}+\frac{1}{11}\right) \\
=28-\left(\frac{693}{3465}+\frac{495}{3465}+\frac{385}{3465}+\frac{315}{3465}\right) \\
=28-\frac{1888}{3465} \\
=27 \frac{1577}{3465} .
\end{array}
$$

Therefore, the answer is: $27 \frac{1577}{3465}$.