$$\frac{5}{8}\times \left(\frac{4}{3}\right)$$
Multiply $\frac{5}{8}$ times $\frac{4}{3}$ by multiplying numerator times numerator and denominator times denominator.$$\frac{5\times 4}{8\times 3}$$
Do the multiplications in the fraction $\frac{5\times 4}{8\times 3}$.$$\frac{20}{24}$$
Reduce the fraction $\frac{20}{24}$ to lowest terms by extracting and canceling out $4$.$$\frac{5}{6}$$