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DMS to decimal degrees

Paste a DMS coordinate (e.g. 40°41′21.3″N 74°02′40.2″W) to get decimal degrees, or the reverse.

Read as: degrees, minutes and seconds
  • Decimal degreesWGS 84 40.689247, -74.044502
  • Degrees, minutes, secondsWGS 84 40°41′21.29″N 74°02′40.21″W
  • Degrees, decimal minutesWGS 84 40°41.3548′N 74°02.6701′W
  • UTMWGS 84 18T 580736 4504700
  • MGRS / USNGWGS 84 18T WL 80735 04700
  • NAD83 / UTMEPSG:26918 580735.64 4504700.38
  • Plus CodeOpen Location Code 87G7MXQ4+M5
  • Geohash dr5r7p62n
  • Maidenheadham radio FN20xq

Tap the map to convert that point.

The DMS to decimal formula

Decimal degrees = degrees + minutes ÷ 60 + seconds ÷ 3600, made negative for south and west. Example: 74° 02′ 40.2″ W = −(74 + 2/60 + 40.2/3600) = −74.04450°.

In the other direction, the whole number is the degrees; the fraction times 60 gives minutes, and the fraction of the minutes times 60 gives seconds. The converter rounds correctly and never shows 60″.

Accepted formats

With symbols (40°41'21.3"N), with spaces (40 41 21.3 N), with the letter first (N 40° 41' 21.3") or with a sign (-74 02 40.2). The words north, south, east and west also work.

Frequently asked questions

How many decimal places do I need?

In decimal degrees, 5 places is about 1 m and 6 places about 10 cm. In DMS, one decimal place on the seconds is about 3 m and two places about 30 cm.

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