Question

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?

Answer 1

1. A model of a famous statue is $2\dfrac{1}{2}$ inches tall that is

$\dfrac{2\cdot 2+1}{2}=\dfrac{5}{2}$ in.

2. The actual statue is $3\dfrac{1}{3}$ feet tall that is

$\dfrac{3\cdot 3+1}{3}=\dfrac{10}{3}\ ft=\dfrac{10}{3}\cdot 12=40\ in.$

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

$\dfrac{\dfrac{5}{2}}{40}=\dfrac{5}{2}\cdot \dfrac{1}{40}=\dfrac{1}{16}.$

Answer: $\dfrac{1}{16}.$