The elementary question on sign of Rational numbers 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 
$$-\dfrac{8}{3}=\dfrac{8}{-3}?$$
Note that:

$$\frac{8}{-3}=1\cdot \frac{8}{-3}=\frac{-1}{-1}\cdot \frac{8}{-3}=\frac{-8}{3}$$
Note that:

$$\frac{8}{-3}=1\cdot \frac{8}{-3}=\frac{-1}{-1}\cdot \frac{8}{-3}=\frac{-8}{3}$$