[latex]3\frac{1}{4}*(-2\frac{3}{5})= \frac{13}{4}*(-\frac{13}{5})=-\frac{13*13}{4*5}=-\frac{169}{20}=-8\frac{9}{20} [/latex]

[latex]3\frac{3}{4}\cdot(-2\frac{3}{5})=\frac{3\cdot4+1}{4}\cdot\left(-\frac{2\cdot5+3}{5}\right)=\frac{13}{4}\cdot\left(-\frac{13}{5}\right)=-\frac{13\cdot13}{4\cdot5}=-\frac{169}{20}=-8\frac{9}{20}\\\\\\Answer:A[/latex]