16. Kevin is baking cookies. Each batch of cookies uses \( \frac{1}{8} \) pound of butter. Kevin has \( \frac{11}{8} \) pounds of butter. How many batches of cookies can Kevin make? Explain by writing \( \frac{11}{8} \) as a multiple of \( \frac{1}{8} \).

To determine how many batches of cookies Kevin can make, we need to express \( \frac{11}{8} \) as a multiple of \( \frac{1}{8} \). 1. **Identify the known quantities:** - Each batch of cookies requires \( \frac{1}{8} \) pound of butter. - Kevin has \( \frac{11}{8} \) pounds of butter. 2. **Set up the relationship:** We want to find how many times \( \frac{1}{8} \) fits into \( \frac{11}{8} \). This can be expressed mathematically as: \[ \text{Number of batches} = \frac{\text{Total butter}}{\text{Butter per batch}} = \frac{\frac{11}{8}}{\frac{1}{8}} \] 3. **Perform the division:** Dividing fractions involves multiplying by the reciprocal. Thus, we can rewrite the expression: \[ \frac{\frac{11}{8}}{\frac{1}{8}} = \frac{11}{8} \times \frac{8}{1} \] 4. **Calculate the result:** Now, we can simplify this: \[ \frac{11 \times 8}{8 \times 1} = \frac{11 \cdot 8}{8} = 11 \] Thus, Kevin can make \( 11 \) batches of cookies. In conclusion, by expressing \( \frac{11}{8} \) as a multiple of \( \frac{1}{8} \), we find that Kevin can make \( 11 \) batches of cookies.