A map has a scale of 1 inches equals 60 miles. What is the actual distance, in miles, between two cities that are 2 1/4 inches apart on the map?
(2 1/4) * 60 = ?
To find the actual distance between two cities on the map, we can use the given scale. The scale of the map tells us how many miles are represented by one inch on the map.
In this case, the map scale states that 1 inch on the map represents 60 miles in reality.
To find the actual distance between the two cities on the map, we need to convert the distance on the map to miles.
Given that the two cities are 2 1/4 inches apart on the map, we can calculate the actual distance as follows:
2 ¼ inches * 60 miles/inch = (9/4) * 60 miles
To calculate this, we will first convert the mixed number 2 ¼ into an improper fraction.
2 ¼ = (2 * 4 + 1) / 4 = 9/4
Therefore, the calculation becomes:
(9/4) * 60 miles = 540/4 = 135 miles
So, the actual distance between the two cities is 135 miles.