Math

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Decimal Degrees to Degrees Minutes Seconds Calculator.

Convert decimal degrees into degrees, minutes, and seconds.

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Result: degrees: 23.000000 · minutes: 27.000000 · seconds: 24.120000 · signedDecimal: 23.456700

Result

degrees: 23.000000 · minutes: 27.000000 · seconds: 24.120000 · signedDecimal: 23.456700

Use Cases

Mapping and Navigation

Convert GPS coordinates from decimal degrees to DMS format for use in maps, navigation systems, or surveying.

Example: Convert 40.7128° to 40° 42' 46" N.

Astronomy and Geodesy

Convert celestial or terrestrial coordinates to DMS for precise measurements in astronomy, geodesy, or cartography.

Example: Convert 123.4567° to 123° 27' 24.12".

Frequently Asked Questions

How do I convert decimal degrees to degrees, minutes, and seconds?
To convert, take the whole number part as degrees. Multiply the decimal part by 60 to get minutes; the whole number of that result is minutes. Multiply the remaining decimal by 60 to get seconds. Our calculator does this automatically for you.
What is the formula for converting decimal degrees to DMS?
The formula is: Degrees = integer part of decimal degrees; Minutes = integer part of (decimal part × 60); Seconds = (remaining decimal × 60). For example, 10.5° = 10° 30' 0".
Can I convert negative decimal degrees?
Yes, the calculator handles negative values. The sign is typically applied to the degrees, while minutes and seconds are positive. For example, -10.5° becomes -10° 30' 0".

Tips & Common Mistakes

Tips

  • Ensure your decimal degrees value is in the range -180 to 180 for longitude and -90 to 90 for latitude.
  • Use the DMS output for precise coordinate notation in professional documents or GPS devices.
  • Double-check the sign: negative values indicate west or south, which is preserved in the degrees component.
  • For quick mental conversion, remember that 1 degree = 60 minutes and 1 minute = 60 seconds.

Common Mistakes to Avoid

  • Forgetting to multiply the decimal part by 60 twice, leading to incorrect minutes and seconds.
  • Misinterpreting the sign: negative decimal degrees should have the negative sign on degrees, not on minutes or seconds.
  • Rounding seconds too early, which can cause small errors in precise applications.

Last updated: August 13, 2026