1. The problem states that Carrie eats 2 whole satsumas and then eats 1 segment out of 8 equal segments from another satsuma. 2. To find the total satsumas eaten, we add the whole satsumas and the fraction of the split satsuma. 3. The total satsumas eaten is given by the sum: $$2 + \frac{1}{8}$$ 4. To express this as an improper fraction, convert the whole number 2 into eighths: $$2 = \frac{2 \times 8}{8} = \frac{16}{8}$$ 5. Now add the fractions: $$\frac{16}{8} + \frac{1}{8} = \frac{16 + 1}{8} = \frac{17}{8}$$ 6. The fraction $\frac{17}{8}$ is already in simplest form because 17 is a prime number and does not share any common factors with 8. 7. Therefore, Carrie eats a total of $$\frac{17}{8}$$ satsumas.