1. **State the problem:** Solve the equation $$\frac{2}{3} = \frac{3}{4} + \frac{2}{3}$$ for equality. 2. **Understand the problem:** We want to check if the left side equals the right side or simplify the right side. 3. **Add the fractions on the right side:** To add $$\frac{3}{4}$$ and $$\frac{2}{3}$$, find a common denominator. 4. The least common denominator (LCD) of 4 and 3 is 12. 5. Convert each fraction: $$\frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12}$$ $$\frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12}$$ 6. Add the fractions: $$\frac{9}{12} + \frac{8}{12} = \frac{9 + 8}{12} = \frac{17}{12}$$ 7. Now compare the left side $$\frac{2}{3}$$ with the right side $$\frac{17}{12}$$. 8. Convert $$\frac{2}{3}$$ to twelfths: $$\frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12}$$ 9. Since $$\frac{8}{12} \neq \frac{17}{12}$$, the equation is not true. **Final answer:** $$\frac{2}{3} \neq \frac{3}{4} + \frac{2}{3}$$