1. **State the problem:** She has an apple cut into 8 pieces and she ate 2 pieces. We need to find the fraction of the apple that was eaten. 2. **Formula and concept:** The fraction eaten is the number of pieces eaten divided by the total number of pieces. This can be written as: $$\text{Fraction eaten} = \frac{\text{Number of pieces eaten}}{\text{Total number of pieces}}$$ 3. **Apply the values:** Here, the number of pieces eaten is 2 and the total number of pieces is 8. So, $$\text{Fraction eaten} = \frac{2}{8}$$ 4. **Simplify the fraction:** Both numerator and denominator can be divided by 2: $$\frac{2 \div 2}{8 \div 2} = \frac{1}{4}$$ 5. **Interpretation:** She ate $\frac{1}{4}$ of the apple. **Final answer:** The fraction of the apple eaten is $\frac{1}{4}$.