1. Let's start by understanding the problem: you want to create a cake recipe using mixed and improper fractions. 2. Mixed fractions are numbers like $1\frac{1}{2}$, which means $1 + \frac{1}{2} = \frac{3}{2}$ as an improper fraction. 3. Improper fractions have numerators larger than denominators, like $\frac{7}{4}$. 4. To use these in a recipe, convert all mixed fractions to improper fractions for easier addition or multiplication. 5. For example, if a recipe calls for $1\frac{1}{2}$ cups of flour and $\frac{3}{4}$ cups of sugar, convert $1\frac{1}{2}$ to $\frac{3}{2}$. 6. Add the fractions: $\frac{3}{2} + \frac{3}{4} = \frac{6}{4} + \frac{3}{4} = \frac{9}{4}$ cups total. 7. If you want to double the recipe, multiply each fraction by 2: $2 \times \frac{3}{2} = 3$ cups flour, $2 \times \frac{3}{4} = \frac{3}{2}$ cups sugar. 8. Convert back to mixed fractions if desired: $\frac{3}{2} = 1\frac{1}{2}$ cups sugar. 9. This method helps you scale and combine ingredients accurately using mixed and improper fractions. 10. Always convert mixed fractions to improper fractions for calculations, then convert back if needed for easier understanding.