Subjects algebra

Beans Needed 05Becf

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** Khloe wants to make 4 servings of a recipe that calls for 2 3/4 cups of beans for 12 servings. We need to find how many cups of beans she needs for 4 servings. 2. **Write down the given information:** - Beans for 12 servings: $2 \frac{3}{4}$ cups - Servings in original recipe: 12 - Desired servings: 4 3. **Convert mixed number to improper fraction:** $$2 \frac{3}{4} = \frac{2 \times 4 + 3}{4} = \frac{8 + 3}{4} = \frac{11}{4}$$ 4. **Find the amount of beans per serving:** $$\text{Beans per serving} = \frac{11}{4} \div 12 = \frac{11}{4} \times \frac{1}{12} = \frac{11}{48}$$ 5. **Calculate beans needed for 4 servings:** $$\frac{11}{48} \times 4 = \frac{11 \times 4}{48} = \frac{44}{48}$$ 6. **Simplify the fraction:** $$\frac{44}{48} = \frac{\cancel{4}11}{\cancel{4}12} = \frac{11}{12}$$ 7. **Final answer:** Khloe needs $\frac{11}{12}$ cups of beans for 4 servings.