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]