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Rita has a picture frame that is 13 1/2 inches wide. How many pictures that are 3 3/8 inches wide can be placed beside each other within the frame?

Final Answer:

n =  4

Step-by-step explanation:

$$\begin{gathered} a=13\frac{1}{2}=13+\frac{1}{2}=\frac{13\cdot 2+1}{2}=\frac{26+1}{2}=\frac{27}{2}=13\frac{1}{2}=13.5\text{in} \\ b=3\frac{3}{8}=3+\frac{3}{8}=\frac{3\cdot 8+3}{8}=\frac{24+3}{8}=\frac{27}{8}=3\frac{3}{8}=3.375\text{in} \\ n=a/b=\frac{27}{2}/\frac{27}{8}=\frac{27}{2}:\frac{27}{8}=\frac{27}{2}\cdot \frac{8}{27}=\frac{27\cdot 8}{2\cdot 27}=\frac{216}{54}=4 \end{gathered}$$

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