Convert Dms to Degrees Calculator

Convert degrees, minutes, and seconds (DMS) coordinates to decimal degrees with this easy-to-use calculator. Whether you're working with GPS coordinates, geographic data, or navigation, this tool provides an accurate conversion and explains the process clearly.

How to Use This Calculator

Using our DMS to degrees converter is simple:

Enter the degrees value in the first field
Enter the minutes value in the second field
Enter the seconds value in the third field
Select the direction (North, South, East, West) if applicable
Click "Calculate" to get the decimal degrees result

The calculator will display the converted decimal degrees and show you the calculation steps used to arrive at the result.

Conversion Formula

The formula to convert DMS to decimal degrees is:

Formula

Decimal Degrees = Degrees + (Minutes / 60) + (Seconds / 3600)

For coordinates with direction (North/South/East/West):

North and East coordinates are positive
South and West coordinates are negative

This formula accounts for the fact that each degree is divided into 60 minutes, and each minute is divided into 60 seconds.

Examples

Example 1: Basic Conversion

Convert 45° 30' 15" to decimal degrees:

Calculation

45 + (30 / 60) + (15 / 3600) = 45 + 0.5 + 0.0041667 ≈ 45.5041667°

The result is approximately 45.5042°.

Example 2: Coordinate Conversion

Convert 38° 53' 23" South to decimal degrees:

Calculation

38 + (53 / 60) + (23 / 3600) = 38 + 0.8833333 + 0.0063889 ≈ 38.8900002°

Since it's South, we make it negative: -38.8900002°

The result is approximately -38.8900°.

Common Uses

Converting DMS to decimal degrees is useful in several fields:

Geography and mapping
Navigation systems
GPS coordinate processing
Scientific measurements
Engineering surveys

Many modern systems use decimal degrees for calculations, making this conversion essential for compatibility with digital mapping tools and databases.

FAQ

What is the difference between DMS and decimal degrees?

Degrees, minutes, and seconds (DMS) is a format that divides a degree into 60 minutes and a minute into 60 seconds. Decimal degrees represent the whole angle as a single decimal number, making it easier for calculations in digital systems.

How accurate is this conversion?

The conversion is mathematically precise. The small rounding differences you might see are due to the display of decimal places, not the calculation itself.

Can I convert decimal degrees back to DMS?

Yes, you can use our decimal degrees to DMS calculator for the reverse conversion.

What if I enter negative values?

The calculator will handle negative values correctly, but remember that in coordinate systems, negative values typically indicate South or West directions.