1. The problem is to simplify the fraction $$\frac{54}{63}$$. 2. To simplify a fraction, we divide the numerator and denominator by their greatest common divisor (GCD). 3. Find the GCD of 54 and 63. - Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54 - Factors of 63: 1, 3, 7, 9, 21, 63 The greatest common factor is 9. 4. Divide numerator and denominator by 9: $$\frac{\cancel{54}^{6}}{\cancel{63}^{7}} = \frac{6}{7}$$ 5. So, $$\frac{54}{63} = \frac{6}{7}$$ in simplest form.