1. **State the problem:** Calculate $\frac{9}{5} \times 4$ and express the answer as a fraction in its lowest terms. 2. **Write the multiplication:** $$\frac{9}{5} \times 4 = \frac{9}{5} \times \frac{4}{1}$$ 3. **Multiply the numerators and denominators:** $$\frac{9 \times 4}{5 \times 1} = \frac{36}{5}$$ 4. **Simplify the fraction if possible:** Since 36 and 5 have no common factors other than 1, the fraction is already in lowest terms. 5. **Final answer:** $$\frac{36}{5}$$