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Q: How do you get the answer for Maps with fractional distances?

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Maps covering a large area suffer from "barrel distortion". In the usual layout of maps, East-West distances are compressed near the equator and exaggerated as you move towards the poles.

They are used to map points on a graph and are used to make real maps as well as graph probabilities and distances.

All rational numbers are fractional but all fractional numbers are not rational. For example, pi/2 is fractional but not rational.

write 18.575 in fractional notation

The fractional notation of 19.525 = 781/40

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No, the fractional scale of a map does not change when it is enlarged. The fractional scale is a fixed ratio that remains constant regardless of the size of the map. It represents the relationship between distances on the map and actual distances on the ground.

It is to do with the scale used on the maps and globes.

Graphic and fractional scales are two different things. A graphic scale on a map is a line marked with the lengths which represent real distances. It has a zero at one end. A fractional scale simply gives the ratio between map and real distances, e.g. 1: 10 000, so zero doesn't come into it.

Most maps have a key or legend, a scale to show distances, and a compass rose to indicate direction.

The fractional scale on a map represents the ratio between the distance on the map and the actual distance on the ground. It is typically written as a fraction, such as 1:50,000, indicating that one unit of measurement on the map is equivalent to 50,000 of the same units in the actual world. This scale helps users understand the relationship between map distances and real-world distances.

It is 40.5 miles according to Google Maps.

Maps covering a large area suffer from "barrel distortion". In the usual layout of maps, East-West distances are compressed near the equator and exaggerated as you move towards the poles.

Simple, you're dealing with two diferently scaled maps. Topographic maps are drawn to scale. This means that distances on a map are proportional to distances on the ground. For example, if two cities 20 miles apart are shown 4 inches apart on a map, then any other locations that are 4 inches apart on the map are also 20 miles apart. This proportion, the map scale, is constant for the map so it holds for any points on the map. In this example the proportion between equivalent distances on the map and on the ground is expressed as a scale of 1 inch = 5 miles, that is 1 inch on the map is equal to 5 miles on the ground. The simplest form of map scale is a VERBAL SCALE. A verbal scale just states what distance on a map is equal to what distance on the ground, i.e. 1 inch = 5 miles from the example above. Though verbal scales are easy to understand, you usually will not find them printed on topographic maps. Other types of scale used are the fractional scale and the bar scale. In the case of your question, 1in = 5miles equates roughly to a fractional scale of 1:312,500 and 1in = 2miles equates roughly to a fractional scale of 1:125,000

No, one inch does not always equal the same distance on all maps. The scale of a map determines how distances on the map relate to actual distances on the Earth's surface. Different maps can have different scales depending on the level of detail and size of the area being depicted.

It is 60 miles according to Google Maps.

It fixes the relationship between distances in the real world and on the map or globe.

It ia 284 miles according to Google Maps.