1. **State the problem:** Mary made two cakes, each cut into 8 slices. She sold all but one slice of the chocolate cake and sold 5 slices of the banana cake. We need to find the fraction of the total cakes she sold. 2. **Identify total slices:** Each cake has 8 slices, so total slices for both cakes are $$8 + 8 = 16$$. 3. **Calculate slices sold:** - Chocolate cake slices sold: $$8 - 1 = 7$$ - Banana cake slices sold: $$5$$ - Total slices sold: $$7 + 5 = 12$$ 4. **Find fraction sold:** $$\text{Fraction sold} = \frac{\text{Total slices sold}}{\text{Total slices}} = \frac{12}{16}$$ 5. **Simplify the fraction:** $$\frac{12}{16} = \frac{\cancel{4} \times 3}{\cancel{4} \times 4} = \frac{3}{4}$$ 6. **Final answer:** Mary sold $$\frac{3}{4}$$ of her cakes altogether.