1. **Simplify** $\frac{5}{63} = \frac{5 \times 8}{9 \times 7} = \frac{5}{7}$ - The original fraction is $\frac{5}{63}$. - The rewritten form is $\frac{5 \times 8}{9 \times 7}$. - Simplify by canceling common factors: $\frac{5 \times \cancel{8}}{\cancel{9} \times 7}$ is incorrect because 8 and 9 are not common factors. - Instead, factor 63 as $9 \times 7$ and see if 5 shares any factors with 63 (it does not). - So $\frac{5}{63}$ cannot be simplified to $\frac{5}{7}$ directly. **Correction:** $\frac{5}{63}$ is already in simplest form. 2. **Simplify** $\frac{-24}{-30} = \frac{6 \times -4}{6 \times -5}$ - Factor numerator and denominator: $\frac{6 \times -4}{6 \times -5}$. - Cancel common factor 6: $\frac{\cancel{6} \times -4}{\cancel{6} \times -5} = \frac{-4}{-5}$. - Negative signs cancel: $\frac{-4}{-5} = \frac{4}{5}$. 3. **Simplify** $\frac{555}{333}$ - Find GCD of 555 and 333. - $555 = 3 \times 5 \times 37$, $333 = 3 \times 111 = 3 \times 3 \times 37$. - Common factors: $3 \times 37 = 111$. - Divide numerator and denominator by 111: $$\frac{\cancel{111} \times 5}{\cancel{111} \times 3} = \frac{5}{3}$$ 4. **Simplify** $\frac{39}{52} = \frac{13 \times 3}{13 \times 4} = \frac{3}{4}$ - Factor numerator and denominator: $\frac{13 \times 3}{13 \times 4}$. - Cancel common factor 13: $\frac{\cancel{13} \times 3}{\cancel{13} \times 4} = \frac{3}{4}$. **Final answers:** - $\frac{5}{63}$ (cannot simplify) - $\frac{4}{5}$ - $\frac{5}{3}$ - $\frac{3}{4}$