Lannie

Lannie has 5 1/2 cups of chocolate chips. She needs 1 3/4 cups to make one batch of chocolate chip cookies. How many batches of chocolate chip cookies can she make?

Correct answer:

n =  3 ¹⁄₇ = 22/7

Step-by-step explanation:

$$\begin{gathered} a=5\frac{1}{2}=5+\frac{1}{2}=\frac{5\cdot 2+1}{2}=\frac{10+1}{2}=\frac{11}{2}=5\frac{1}{2}=5.5 \\ b=1\frac{3}{4}=1+\frac{3}{4}=\frac{1\cdot 4+3}{4}=\frac{4+3}{4}=\frac{7}{4}=1\frac{3}{4}=1.75 \\ n=a/b=\frac{11}{2}/\frac{7}{4}=\frac{11}{2}:\frac{7}{4}=\frac{11}{2}\cdot \frac{4}{7}=\frac{11\cdot 4}{2\cdot 7}=\frac{44}{14}=\frac{22}{7}=3\frac{1}{7}=3.1429 \end{gathered}$$

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