$$3\frac{2}{3}\times\frac{3}{11}+[2\frac{3}{4}\div1\frac{1}{4}\times(-1\frac{2}{3}]+(-\frac{1}{3})$$
$-3$
$$\frac{9+2}{3}\times \frac{3}{11}+\frac{\frac{2\times 4+3}{4}}{\frac{1\times 4+1}{4}}\left(-\frac{1\times 3+2}{3}\right)-\frac{1}{3}$$
$$\frac{11}{3}\times \frac{3}{11}+\frac{\frac{2\times 4+3}{4}}{\frac{1\times 4+1}{4}}\left(-\frac{1\times 3+2}{3}\right)-\frac{1}{3}$$
$$1+\frac{\frac{2\times 4+3}{4}}{\frac{1\times 4+1}{4}}\left(-\frac{1\times 3+2}{3}\right)-\frac{1}{3}$$
$$1+\frac{\left(2\times 4+3\right)\times 4}{4\left(1\times 4+1\right)}\left(-\frac{1\times 3+2}{3}\right)-\frac{1}{3}$$
$$1+\frac{3+2\times 4}{1+4}\left(-\frac{1\times 3+2}{3}\right)-\frac{1}{3}$$
$$1+\frac{3+8}{1+4}\left(-\frac{1\times 3+2}{3}\right)-\frac{1}{3}$$
$$1+\frac{11}{1+4}\left(-\frac{1\times 3+2}{3}\right)-\frac{1}{3}$$
$$1+\frac{11}{5}\left(-\frac{1\times 3+2}{3}\right)-\frac{1}{3}$$
$$1+\frac{11}{5}\left(-\frac{3+2}{3}\right)-\frac{1}{3}$$
$$1+\frac{11}{5}\left(-\frac{5}{3}\right)-\frac{1}{3}$$
$$1+\frac{11\left(-5\right)}{5\times 3}-\frac{1}{3}$$
$$1+\frac{-55}{15}-\frac{1}{3}$$
$$1-\frac{11}{3}-\frac{1}{3}$$
$$\frac{3}{3}-\frac{11}{3}-\frac{1}{3}$$
$$\frac{3-11}{3}-\frac{1}{3}$$
$$-\frac{8}{3}-\frac{1}{3}$$
$$\frac{-8-1}{3}$$
$$\frac{-9}{3}$$
$$-3$$
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