$$(\frac{-4}{3})^{3}\div(\frac{8}{9})^{3}$$
$-\frac{27}{8}=-3.375$
$$\frac{\left(-\frac{4}{3}\right)^{3}}{\left(\frac{8}{9}\right)^{3}}$$
$$\frac{-\frac{64}{27}}{\left(\frac{8}{9}\right)^{3}}$$
$$\frac{-\frac{64}{27}}{\frac{512}{729}}$$
$$-\frac{64}{27}\times \frac{729}{512}$$
$$-\frac{27}{8}$$
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$-\frac{27}{8} = -3\frac{3}{8} = -3.375$
