1. We are given two cakes, each divided into slices of size $\frac{1}{8}$ of a cake. We need to find the total number of slices made from both cakes. 2. First, calculate how many slices each whole cake would produce. Since each slice is $\frac{1}{8}$ of a cake, one whole cake has $$\frac{1}{\frac{1}{8}} = 8$$ slices. 3. Now, find the number of slices remaining in each cake: - First cake has $\frac{1}{2}$ slice left. Since the cake was cut into $\frac{1}{8}$ slices, the remaining amount corresponds to $$\frac{1}{2} \div \frac{1}{8} = \frac{1}{2} \times 8 = 4$$ slices. - Second cake has $\frac{3}{4}$ slice left, which corresponds to $$\frac{3}{4} \div \frac{1}{8} = \frac{3}{4} \times 8 = 6$$ slices. 4. The total slices made from all cakes is the sum of all slices per cake: $$8 + 8 = 16$$ slices. Final answer: The two cakes were divided into a total of 16 slices.