The image below can be used to show that $+\frac{8}{3}=\frac{+8}{3}$.

Similarly we can show $-\frac{8}{3}=\frac{-8}{3}$. Now how can we show that $$-\dfrac{8}{3}=\dfrac{8}{-3}?$$
The image below can be used to show that $+\frac{8}{3}=\frac{+8}{3}$.

Similarly we can show $-\frac{8}{3}=\frac{-8}{3}$. Now how can we show that $$-\dfrac{8}{3}=\dfrac{8}{-3}?$$
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Note that:
$$\frac{8}{-3}=1\cdot \frac{8}{-3}=\frac{-1}{-1}\cdot \frac{8}{-3}=\frac{-8}{3}$$