Ian lives 16 1/2 miles from Zion National park. His Grandmother lives 3/4 of the way to the park from Ian's home. How far from Ian does his grandmother live?

12.375 miles

Step-by-step explanation:

The distance between Ian's house and the park is 16 1/2 miles or 16.5 miles. His grandmother lives 3/4 of the way between Ian's house and the park. We need to know what is the 3/4 of such distance. Lets say Ian's house is at mile 0 and the park is at mile 16.5 in a distance line.

We can find the position of his grandma's house by multiplying such distance by 3/4 or 0.75, which is equivalent:

grandma = 16.5 * 0.75 = 12.375

So, on our distance line her grandma is at the position mile 12.375.

As Ian is at the mile 0 and his grandma's house is at 12.375 miles away from Ian's house.