1. **State the problem:** We have 7 cups of almonds and 4 cups of chocolate chips in a trail mix recipe. 2. **Part-to-part ratio of almonds to chocolate chips:** This ratio compares the amount of almonds directly to the amount of chocolate chips. $$\text{Ratio} = 7 : 4$$ 3. **Part-to-whole ratio of almonds to total trail mix:** First, find the total cups of trail mix. $$\text{Total} = 7 + 4 = 11$$ Then, the ratio of almonds to the whole mix is: $$7 : 11$$ 4. **Proportion of almonds to the whole as a fraction in simplest terms:** The fraction is $$\frac{7}{11}$$ Since 7 and 11 have no common factors other than 1, this fraction is already in simplest form. **Final answers:** - Part-to-part ratio: $7 : 4$ - Part-to-whole ratio: $7 : 11$ - Proportion as fraction: $\frac{7}{11}$