Solve for: /(-4) 3 \div /(8) 9

Expression: $$\frac { - 4 } { 3 } \div \frac { 8 } { 9 }$$

Divide $\frac{-4}{3}$ by $\frac{8}{9}$ by multiplying $\frac{-4}{3}$ by the reciprocal of $\frac{8}{9}$.

$$\frac{-4\times 9}{3\times 8}$$

Cancel out $3\times 4$ in both numerator and denominator.

$$\frac{-3}{2}$$

Fraction $\frac{-3}{2}$ can be rewritten as $-\frac{3}{2}$ by extracting the negative sign.

$$-\frac{3}{2}$$