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

Ask by Barnett Sandoval. in the United States
Feb 25,2025

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Answer

Kevin can make 11 batches of cookies.

Solution

Kevin has 11/8 pounds of butter and each batch requires 1/8 pound. Notice that   11/8 = 11 × (1/8). Since each batch uses 1/8 pound, Kevin can make 11 batches of cookies.

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To determine how many batches of cookies Kevin can make, we need to express \(\frac{11}{8}\) as a multiple of \(\frac{1}{8}\). If we divide \(\frac{11}{8}\) by \(\frac{1}{8}\), it’s the same as multiplying \(\frac{11}{8}\) by the reciprocal of \(\frac{1}{8}\), which is \(8\). So, \(\frac{11}{8} \div \frac{1}{8} = \frac{11}{8} \times 8 = 11\). This means Kevin can make 11 batches of cookies! Now, let’s have some fun with it! Imagine Kevin, with his trusty mixer, whipping up not just cookies but a cookie empire! With 11 batches ready to go, that’s a potential audience of 110 cookies (assuming each batch makes 10 cookies). That means he could invite a lot of friends over for a cookie party. Just think of all the sprinkles, chocolate chips, and frostings at the ready for decorating those delectable treats! 🍪

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