Amodel of a famous statue is 1 1/4 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?

If the model is 1 1/2 inches tall and the actual statue is 5 1/4 feet tall, it means that the initial ratio is 1 1/2 : 5 1/4. to simplify it, firstly we need to find a common denominator, which will be 1 2/4 in this case, and then rewrite it as a ratio of mixed numbers:

1 2/4 : 5 1/4
6/4 : 21/4

now we can see that we can use one third of both sides to simplify the ratio:

2/4 : 7/4

we can further simplify it into:

1/2 : 7/4

which is:

1/2 : 1 3/4