On a certain​ map, 1/2 inch represents a distance of 90 miles. According to the​ map, two cities are 2 2/9 inches apart. Find the number of miles between the two cities.

Answer 1

First convert 2 2/9 to an improper fraction

2 2/9 = 20/9

We can solve with proportions

(1/2) / 90 = (20/9) / x

1/2 x = 90 * (20/9)

1/2 x = 10 * 20

1/2 x = 200, remember when you divid

x = 200 * 2 = 400

The cities are 400 miles apart.