how is representative fraction different from graphic scale
Naturally it is impossible for real world features to be drawn on the map as large as their true size. Therefore in order to represent the real world, maps are made to a specific scale. Map scale is defined as the ratio of the distance between two points on the map to the corresponding distance on the ground. Maps come in a variety of scales. Large scale maps cover a small area with great detail and accuracy, while small scale maps cover a large area in less detail.
As shown in this image, map scales can be expressed as a verbal statement, as a fraction or ratio and finally as a graphic or bar scale. Such scale expressions can be used to find the ground distance between any features from conversion of the corresponding map distance measurement.Verbal Scale:
"1 centimetre on the map represents 500m on the ground" is a verbal scale. Clearly here a distance of 1cm on the map corresponds to 500m on the earth's surface. So if you plan a route with a total distance of 22cm on the map, that would imply that you'll be traveling (22cm x 500m) / 1cm = 11000m or 11km on the ground.Representative Fraction (RF) - Fractional Scale - Ratio Scale:
1:50000 represents the map scale as a mathematical ratio or fraction, thus the name ratio scale or fractional scale. 1:50000 can be shown as 1/50000 as well. Here such a scale means that one unit of measurment on the map is equal to 50000 of the same unit on the ground. Such a unit can be anything such as centimetre, meter, feet, inches, your finger length, half a lenght of a pencil, etc. Also we can say that any distance on the map is 1/50000 of its true value on the ground. Therefore 1cm on the map is equal to 50000cm on the ground, that is 1cm on the map is equal to (50000cm x 1m) /100cm = 500m or 0.5km on the ground. Again a 22cm route on the map can be calculated to be equal 22 x 50000cm = 1100000cm on the ground or (1100000cm x 1m) / 100cm = 11000m.Bar Scale - Graphic Scale - Linear Scale:
Bar scale also known as scale bar, linear scale or graphical scale visually shows the relationship between distances on the map and the real world. Usually more than one bar scale is shown on the side of the map, each using a different unit of measurement. To measure distance on Google Maps you can use the bar scale found on the corner of the map. The scale length and numbers get adjusted as the map is zoomed in or out. To see an example of measuring distances using bar scale, check the slope calculation from contour lines section.
Knowing the the fractional scale of a map, an engineer's or architect's scale ruler can be used to find the ground distances directly without the above mathematical calculations. The rulers can be found in both metric and English units of measurment. Many compasses have a similar scale ruler on their base plate. Finding distances of meandering features such as trails or rivers can be challenging and time consuming using a straight-edged object such as a ruler; in such cases you can use a string and place it on the map along the length of the feature, then place the string beside the bar scale for a direct measurement (or measure the lenght of it with a ruler).