Evaluate: /(9) 8 / /(3) 2

Expression: $$\frac { 9 } { 8 } \div \frac { 3 } { 2 }$$

Divide $\frac{9}{8}$ by $\frac{3}{2}$ by multiplying $\frac{9}{8}$ by the reciprocal of $\frac{3}{2}$.

$$\frac{9}{8}\times \left(\frac{2}{3}\right)$$

Multiply $\frac{9}{8}$ times $\frac{2}{3}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 2}{8\times 3}$$

Do the multiplications in the fraction $\frac{9\times 2}{8\times 3}$.

$$\frac{18}{24}$$

Reduce the fraction $\frac{18}{24}$ to lowest terms by extracting and canceling out $6$.

$$\frac{3}{4}$$