1. **State the problem:** We have a group of 40 people who played two games: Skittles and Wheel of Fortune. We want to find the fraction of the group that did not win a prize on the Wheel of Fortune. 2. **Understand the data from the frequency tree:** - Total people: 40 - Won Skittles prize: 23 - Of these, won Wheel prize: 2 - Did not win Wheel prize: 21 - Did not win Skittles prize: 17 - Of these, won Wheel prize: 3 - Did not win Wheel prize: 14 3. **Calculate total who did not win a prize on the Wheel of Fortune:** $$\text{Did not win Wheel} = 21 + 14 = 35$$ 4. **Calculate the fraction of the group who did not win a Wheel prize:** $$\frac{\text{Did not win Wheel}}{\text{Total people}} = \frac{35}{40}$$ 5. **Simplify the fraction:** $$\frac{\cancel{35}^{\times 5}}{\cancel{40}^{\times 5}} = \frac{7}{8}$$ 6. **Final answer:** The fraction of the group that did not win a prize on the Wheel of Fortune is **$\frac{7}{8}$**.