How to Convert Latitude and Longitude into Decimal Degrees?


Latitude and longitude are geographical coordinates used to pinpoint the exact location on the Earth’s surface. While these coordinates are traditionally represented in degrees, minutes, and seconds, it is often more convenient to convert them into decimal degrees for mathematical calculations or digital mapping purposes. This article will guide you through the process of converting latitude and longitude into decimal degrees, providing step-by-step instructions and explanations for each subtopic.

Understanding Latitude and Longitude

Before diving into the conversion process, it is essential to grasp the concept of latitude and longitude. These coordinates form a grid system that helps locate any point on the Earth’s surface.


Latitude measures how far north or south a point is from the Equator, which is defined as 0 degrees latitude. The latitude ranges from -90 degrees (South Pole) to +90 degrees (North Pole).


Longitude, on the other hand, measures the distance east or west of the Prime Meridian, which is set at 0 degrees longitude and passes through Greenwich, London. Longitude ranges from -180 degrees to +180 degrees.

Converting Degrees, Minutes, and Seconds to Decimal Degrees

Coordinates in degrees, minutes, and seconds (DMS) format consist of three components: degrees, minutes, and seconds. To convert these coordinates into decimal degrees (DD) format, follow the steps below:

Step 1: Determine the Hemisphere

Identify the hemisphere in which the location is located. The Northern Hemisphere is denoted by a positive sign (+), while the Southern Hemisphere is denoted by a negative sign (-) for latitude. For longitude, the Eastern Hemisphere is positive (+), while the Western Hemisphere is negative (-).

Step 2: Convert Degrees to Decimal Degrees

To convert degrees to decimal degrees, simply leave them as they are.

Step 3: Convert Minutes to Decimal Degrees

Divide the number of minutes by 60 to convert them into decimal degrees. For example, if the latitude is 30 degrees 15 minutes, the conversion would be 15/60 = 0.25 decimal degrees.

Step 4: Convert Seconds to Decimal Degrees

Similar to minutes, divide the number of seconds by 3600 to convert them into decimal degrees. For instance, if the longitude is 45 degrees 30 minutes 20 seconds, the conversion would be 20/3600 = 0.0056 decimal degrees.

Step 5: Add the Decimal Degrees

Add the converted degrees, minutes, and seconds to obtain the final decimal degree value. For example, if the latitude is 30 degrees 15 minutes 0 seconds in the Northern Hemisphere, the final value would be 30 + 0.25 = 30.25 decimal degrees.

Example Conversion

Let’s convert the coordinates 45 degrees 30 minutes 20 seconds North, 75 degrees 40 minutes 10 seconds West into decimal degrees:

Coordinate Degree Minute Second Decimal Degrees
Latitude 45 30 20 45.5056
Longitude -75 40 10 -75.6694

Therefore, the converted coordinates are approximately 45.5056 degrees North, 75.6694 degrees West.

Frequently Asked Questions (FAQs)

FAQ 1: Why is it necessary to convert latitude and longitude into decimal degrees?

Converting latitude and longitude into decimal degrees allows for easier mathematical calculations, data analysis, and compatibility with digital mapping systems. Decimal degrees provide a standardized format for representing geographical coordinates, simplifying various applications.

FAQ 2: Can latitude and longitude be negative in decimal degrees?

Yes, latitude and longitude can be negative in decimal degrees. Negative values indicate positions in the Southern Hemisphere for latitude and the Western Hemisphere for longitude.

FAQ 3: What are the applications of decimal degrees?

Decimal degrees find extensive applications in various fields such as navigation, surveying, GIS (Geographic Information Systems), cartography, and geocaching. They are commonly used in GPS devices, online mapping services like Google Maps, and scientific research.

FAQ 4: Are there online tools available for converting latitude and longitude into decimal degrees?

Yes, several online tools and software applications are available that can convert latitude and longitude into decimal degrees automatically. These tools save time and effort, especially when dealing with a large number of coordinates.

FAQ 5: Is there any specific format for representing decimal degrees?

Decimal degrees are generally represented with up to six decimal places, providing a high level of precision. However, in certain cases, fewer decimal places may be used based on the required accuracy.

FAQ 6: Are there any alternative coordinate systems to latitude and longitude?

Yes, there are alternative coordinate systems used in specific regions or domains. Some examples include the Universal Transverse Mercator (UTM) system, Military Grid Reference System (MGRS), and Geohash.


Converting latitude and longitude from degrees, minutes, and seconds into decimal degrees is a straightforward process. By following the step-by-step instructions outlined in this article, you can easily convert coordinates and obtain decimal degrees for various applications. Understanding how to represent geographical coordinates in decimal degrees enhances accuracy and compatibility across different systems, making it an essential skill for anyone dealing with spatial data.

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