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A model of a famous statue is 2 1/2 inches tall. The actual statue is 3 1/3 feet tall. What is the ratio of the height of the model to the height of the actual statue in simplest form?

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1. A model of a famous statue is [tex]2\dfrac{1}{2}[/tex] inches tall that is

[tex]\dfrac{2\cdot 2+1}{2}=\dfrac{5}{2}[/tex] in.

2. The actual statue is [tex]3\dfrac{1}{3}[/tex] feet tall that is

[tex]\dfrac{3\cdot 3+1}{3}=\dfrac{10}{3}\ ft=\dfrac{10}{3}\cdot 12=40\ in.[/tex]

3. The ratio of the height of the model to the height of the actual statue in simplest form is

[tex]\dfrac{\dfrac{5}{2}}{40}=\dfrac{5}{2}\cdot \dfrac{1}{40}=\dfrac{1}{16}.[/tex]

Answer: [tex]\dfrac{1}{16}.[/tex]