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6. 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 \( \frac{1}{8} \).

Ask by Lawson Moreno. in the United States
Feb 25,2025

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Answer

Kevin can make 11 batches of cookies.

Solution

Since each batch uses 1/8 pound of butter and Kevin has 11/8 pounds, we can write:   11/8 = 11 × (1/8) This shows that Kevin has enough butter for 11 batches of cookies.

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Kevin has \( \frac{11}{8} \) pounds of butter. To find out how many batches he can make, we can express \( \frac{11}{8} \) as a multiple of \( \frac{1}{8} \). If we divide \( \frac{11}{8} \) by \( \frac{1}{8} \), it is the same as multiplying by the reciprocal: \[ \frac{11}{8} \div \frac{1}{8} = \frac{11}{8} \times 8 = \frac{11 \times 8}{8} = 11. \] So, Kevin can make 11 batches of cookies with the butter he has! One fun way to visualize this is to imagine that each batch of cookies is like a slice of pizza. If each slice uses one-eighth of a pizza (or butter in this case), and Kevin has one whole pizza plus three extra slices from his 11 slices in total, he's going to be able to bake a whole lot of delicious cookies! Just keep in mind that equating these fractions helps avoid any cooking disasters!

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