1. **State the problem:** Solve the equation $T - \frac{2}{5} = \frac{3}{2}$ for $T$. 2. **Isolate $T$:** To solve for $T$, add $\frac{2}{5}$ to both sides of the equation: $$T - \frac{2}{5} + \frac{2}{5} = \frac{3}{2} + \frac{2}{5}$$ which simplifies to $$T = \frac{3}{2} + \frac{2}{5}$$ 3. **Find a common denominator:** The denominators are 2 and 5. The least common denominator (LCD) is 10. Convert each fraction: $$\frac{3}{2} = \frac{3 \times 5}{2 \times 5} = \frac{15}{10}$$ $$\frac{2}{5} = \frac{2 \times 2}{5 \times 2} = \frac{4}{10}$$ 4. **Add the fractions:** $$T = \frac{15}{10} + \frac{4}{10} = \frac{15 + 4}{10} = \frac{19}{10}$$ 5. **Final answer:** $$\boxed{T = \frac{19}{10}}$$ This means $T$ equals $1.9$ in decimal form.