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DMS to Decimal Degrees Calculator

Convert a degrees-minutes-seconds coordinate into decimal degrees.

Inputs

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Decimal Degrees

40.748333

Spark says

How it's calculated

Formula

Decimal=±(D+M60+S3600)Decimal = \pm\left(D + \dfrac{M}{60} + \dfrac{S}{3600}\right)
D, M, S
— Degrees, minutes, seconds

What is the DMS to Decimal Degrees Calculator?

Coordinates are traditionally expressed in degrees-minutes-seconds (DMS), but most digital mapping tools (GPS, Google Maps, GeoJSON) use decimal degrees — this calculator converts between the two.

How to use it

  1. 1 Enter the degrees, minutes and seconds.
  2. 2 Choose the direction (N/E is positive, S/W is negative).

Worked examples

40°44'54"N

40.748333° in decimal degrees.

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Frequently asked questions

Why do some coordinates use negative decimal degrees?

Decimal degree notation uses sign instead of a direction letter — southern latitudes and western longitudes are negative, northern latitudes and eastern longitudes are positive.