Unit Converters Tool

Decimal Degrees to DMS

Convert latitude or longitude from decimal format to Degrees, Minutes, and Seconds (DMS).

°

Σ The Formula

DMS = D + M/60 + S/3600

Real World Examples

GPS Coordinates
40.446° → 40° 26' 45.6"
Navigation
Used by sailors and hikers for precision map reading.

# About This Calculator

Decimal Degrees (DD) express latitude and longitude geographic coordinates as decimal fractions. While modern GPS systems often use DD for simplicity, traditional cartography and navigation often use Degrees, Minutes, and Seconds (DMS).

One degree is divided into 60 minutes, and one minute is divided into 60 seconds. This base-60 system allows for extremely high precision on the Earth's surface — one second of latitude is approximately 30 meters.

How To Use

  1. Enter the **Decimal Degrees** value (e.g., 40.446).
  2. Use negative values for South or West coordinates.
  3. Click **Convert to DMS**.
  4. The tool will break down the value into standard Degrees (°), Minutes ('), and Seconds (").

Frequently Asked Questions

What is the difference between DD and DMS?+

Decimal Degrees use a single number (40.44). DMS uses three parts (40° 26' 24"). DMS is easier for historical navigation, while DD is easier for computer processing.

How do I handle negative values?+

In DD, negative values represent South (for latitude) and West (for longitude). For example, -74.006 is 74° 0' 21.6" West.

Is Decimal Degrees to DMS free to use?+

Yes, Decimal Degrees to DMS on Matheric is completely free to use. We believe in accessible education and utility for everyone.

How accurate is Decimal Degrees to DMS?+

We use standard mathematical formulas and high-precision computing algorithms to ensure results for Decimal Degrees to DMS are accurate for academic and professional use.

Can I use Decimal Degrees to DMS on my phone?+

Yes! Decimal Degrees to DMS is fully responsive and optimized for all devices, including smartphones, tablets, and desktops.

Do you save my data?+

No. We prioritize your privacy. All calculations are performed in your browser or temporarily processed, and we do not store your personal input data.

About

Decimal Degrees (DD) express latitude and longitude geographic coordinates as decimal fractions. While modern GPS systems often use DD for simplicity, traditional cartography and navigation often use Degrees, Minutes, and Seconds (DMS).

One degree is divided into 60 minutes, and one minute is divided into 60 seconds. This base-60 system allows for extremely high precision on the Earth's surface — one second of latitude is approximately 30 meters.

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