A baker

A baker has 5 1/4 pies in her shop. She cut the pies into pieces that are each 1/8 of a whole pie. How many pieces of pie does she have?

Correct answer:

n =  42

Step-by-step explanation:

$$\begin{gathered} a=5\frac{1}{4}=5+\frac{1}{4}=\frac{5\cdot 4+1}{4}=\frac{20+1}{4}=\frac{21}{4}=5\frac{1}{4}=5.25 \\ b=1/8=\frac{1}{8}=0.125 \\ n=a/b=\frac{21}{4}/\frac{1}{8}=\frac{21}{4}:\frac{1}{8}=\frac{21}{4}\cdot \frac{8}{1}=\frac{21\cdot 8}{4\cdot 1}=\frac{168}{4}=42 \end{gathered}$$

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