1. (10 points) Calculate: $57.6 \times \frac{8}{5} + 28.8 \times \frac{184}{5} - 14.4 \times 80 + 10 \frac{1}{2}$.
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\begin{array}{l}
\text { [Analysis] Convert } 28.8 \times \frac{184}{5} \text { to } 57.6 \times \frac{92}{5}, 14.4 \times 80 \text { to } 57.6 \times 20, \text { and then simplify using the distributive property of multiplication.} \\
\text { [Solution] Solution: } 57.6 \times \frac{8}{5}+28.8 \times \frac{184}{5}-14.4 \times 80+10 \frac{1}{2} \\
=57.6 \times \frac{8}{5}+57.6 \times \frac{92}{5}-57.6 \times 20+10 \frac{1}{2} \\
=57.6 \times\left(\frac{8}{5}+\frac{92}{5}-20\right)+10 \frac{1}{2} \\
=57.6 \times(20-20)+10 \frac{1}{2} \\
=57.6 \times 0+10 \frac{1}{2} \\
=0+10 \frac{1}{2} \\
=10 \frac{1}{2}
\end{array}
$$