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.
Beans Needed 05Becf
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