5. A cookie recipe uses \( \frac{3}{2} \) cups of flour for every \( \frac{3}{8} \) cups of sugar. How many cups of flour will you need per cup of sugar?

To find out how many cups of flour are needed per cup of sugar, we start by determining the ratio of flour to sugar in the recipe. With \( \frac{3}{2} \) cups of flour for \( \frac{3}{8} \) cups of sugar, we can set up a proportion. Dividing both quantities by \( \frac{3}{8} \) gives us: \[ \text{Flour per cup of sugar} = \frac{\frac{3}{2}}{\frac{3}{8}} = \frac{3}{2} \times \frac{8}{3} = \frac{8}{2} = 4 \] So, you'll need 4 cups of flour for every cup of sugar! Now, imagine baking your cookies with this knowledge! You can whip up a giant batch of cookies for a party or even experiment with different flavors by adjusting the sugar. It's a sweet science—literally! Just remember to keep the flour and sugar ratio in mind for all your sugary adventures!