Convert the following scales to representative fraction: 1cm represents 4km
I don't know it so please help me
What scales?
I don't know know it so please help me
I don't know it
To convert the given scale of 1cm represents 4km to a representative fraction, we need to express the relationship between the map distance and the real-world distance in the form of a ratio.
The representative fraction (RF) is calculated as the ratio of the map distance to the corresponding real-world distance, where both measurements are in the same unit.
In this case, the map distance is 1cm and the real-world distance is 4km.
To convert km to cm, we need to remember that there are 100,000 centimeters in a kilometer.
So, 4km is equal to 4 * 100,000 cm = 400,000 cm.
Now we have:
Map distance: 1cm
Real-world distance: 400,000 cm
To calculate the representative fraction (RF), we express the map distance as a fraction of the real-world distance:
RF = Map distance / Real-world distance
RF = 1cm / 400,000 cm
Simplifying this fraction, we can cancel out the common factor of 100,000:
RF = 1 / 400,000
Therefore, the representative fraction for the given scale is 1/400,000.