1. **State the problem:** We have a pancake recipe that uses 1 1/2 cups of flour and 3/4 cup of milk. We want to find out how much flour to use if we only have 1/2 cup of milk, keeping the same ratio of flour to milk. 2. **Write the ratio:** The original ratio of flour to milk is $$\frac{1\frac{1}{2}}{\frac{3}{4}} = \frac{\frac{3}{2}}{\frac{3}{4}}$$. 3. **Simplify the original ratio:** To divide fractions, multiply by the reciprocal: $$\frac{3}{2} \times \frac{4}{3} = 2$$. This means the flour is twice the amount of milk in the original recipe. 4. **Set up the proportion for the new amount of milk:** Let $x$ be the amount of flour needed for 1/2 cup of milk: $$\frac{x}{\frac{1}{2}} = 2$$. 5. **Solve for $x$:** Multiply both sides by $\frac{1}{2}$: $$x = 2 \times \frac{1}{2} = 1$$. 6. **Interpret the result:** You should use 1 cup of flour to keep the same ratio when using 1/2 cup of milk. **Final answer:** d) 1 cup