A dose of a shrinking potion makes a person 50% smaller than they were before they drank it, and eating a growth cake makes a person 50% larger than they were before they ate it. After drinking 2 doses of shrinking potion and eating 1 growth cake, what is the ratio of Alice's final size to her original size? Express your answer as a common fraction.
1. Let's pretend that Alice's original size is 1.
2. After drinking one dose of shrinking potion...
After drinking another does of shrinking potion...
3. After eating a growth cake would be the same thing as multiplying 1/4 by 150%. What would you get? What would the final ratio be?