DMS to Decimal Degrees, Explained

Every point on Earth's surface can be written two common ways: Degrees-Minutes-Seconds (DMS), like 26° 54' 44.6" N, or Decimal Degrees (DD), like 26.9124°. They describe the exact same location — the difference is purely notation, inherited from how latitude and longitude were originally measured with a sextant, in a system borrowed from how we divide an hour into minutes and seconds.

Need an answer right now? Use the DMS to decimal degrees converter or the decimal degrees to DMS converter.

How the conversion actually works

A degree splits into 60 minutes, and each minute splits into 60 seconds — the same structure as time. To get Decimal Degrees from DMS:

So 26° 54' 44.6" becomes 26 + (54/60) + (44.6/3600) = 26.9124°. Going the other direction, the whole-number part of the decimal value is the degrees; the remaining fraction, multiplied by 60, gives the minutes; and the fraction of that, multiplied by 60 again, gives the seconds.

Where this quietly goes wrong

• Dropping the hemisphere. A coordinate without N/S or E/W (or without a correctly applied negative sign for S/W) can end up on the wrong side of the equator or prime meridian entirely — the numbers look right, the location is wrong.
• Treating minutes/seconds as base-10. They're base-60. Averaging 26° 30' and 26° 45' is not 26° 37.5' by simply averaging the raw numbers if seconds are involved — the carrying between units has to be handled correctly.
• Copy-paste symbol corruption. The degree symbol, prime ('), and double-prime (") often get mangled when copying coordinates out of a PDF or a website — turning into straight quotes, question marks, or disappearing entirely, which then fails to parse correctly downstream.

When you'd use each format

Decimal Degrees is what almost all modern software — GIS tools, GPS devices, mapping APIs — expects internally. DMS is still common on printed survey documents, older government records, and some legal/cadastral descriptions. Converting between them is usually the first step in getting older coordinate data into a modern workflow. For a quick conversion, try the DMS to decimal degrees converter or the decimal degrees to DMS converter.