1. We are given the equation $\frac{5}{8} - \frac{4}{9} = \frac{45}{\square} - \frac{32}{\square} = \frac{\square}{\square}$ and need to find the missing denominators and the resulting fraction. 2. First, calculate the left side: find a common denominator for $\frac{5}{8}$ and $\frac{4}{9}$. The least common denominator (LCD) is $72$. 3. Convert each fraction: $$\frac{5}{8} = \frac{5 \times 9}{8 \times 9} = \frac{45}{72}$$ $$\frac{4}{9} = \frac{4 \times 8}{9 \times 8} = \frac{32}{72}$$ 4. Subtract: $$\frac{45}{72} - \frac{32}{72} = \frac{45 - 32}{72} = \frac{13}{72}$$ 5. So, the missing denominators in the middle expression are both $72$, and the final fraction is $\frac{13}{72}$. 6. Therefore: $$\frac{5}{8} - \frac{4}{9} = \frac{45}{72} - \frac{32}{72} = \frac{13}{72}$$