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(1)/(2)` inches tall that is

`(2\cdot 2+1)/(2)=(5)/(2)` in.

2. The actual statue is
`3(1)/(3)` feet tall that is

`(3\cdot 3+1)/(3)=(10)/(3)\ ft=(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

`((5)/(2))/(40)=(5)/(2)\cdot (1)/(40)=(1)/(16).`

Answer:
`(1)/(16).`