1. The problem is to verify if the sum $3 + \frac{3}{4} + \frac{3}{4}$ equals $\frac{9}{4}$. 2. First, convert the whole number 3 to a fraction with denominator 4: $$3 = \frac{3 \times 4}{4} = \frac{12}{4}$$ 3. Now add all fractions: $$\frac{12}{4} + \frac{3}{4} + \frac{3}{4} = \frac{12 + 3 + 3}{4} = \frac{18}{4}$$ 4. Simplify the fraction $\frac{18}{4}$ by dividing numerator and denominator by their greatest common divisor 2: $$\frac{\cancel{18}^9}{\cancel{4}^2} = \frac{9}{2}$$ 5. The sum is $\frac{9}{2}$, not $\frac{9}{4}$. Therefore, the answer $\frac{9}{4}$ is incorrect. 6. In plain language: Adding 3 plus three-quarters plus another three-quarters gives four and a half (or $\frac{9}{2}$), not two and a quarter ($\frac{9}{4}$).