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DMS to Decimal Degrees

Result

Calculated result Ready Change any value to calculate instantly.
↗ Conversion

DMS to Decimal Degrees calculator with the required physical inputs.

Formula

Decimal degrees = sign(Degrees) × (|Degrees| + Minutes ÷ 60 + Seconds ÷ 3600)
  • Convert degrees, minutes and seconds to signed decimal degrees. Minutes and seconds must each be below 60.
  • The main inputs are Degrees, Minutes, Seconds. Enter them in the units and format shown in the calculator.
  • For unit conversions, the calculator applies the conversion relationship shown above and keeps source and target units consistent with the selected options.
  • Changing any input above recalculates the result with the same calculation engine used by this page.

Example: DMS to Decimal Degrees

Inputs
  • Degrees: 40
  • Minutes: 26
  • Seconds: 46

40° 26′ 46″ = 40.446111°.

Sample result: Calculating…

Frequently asked questions

Why are multiple inputs required?

Convert degrees, minutes and seconds to signed decimal degrees. Minutes and seconds must each be below 60.

What does the DMS to Decimal Degrees calculate?

DMS to Decimal Degrees calculator with the required physical inputs.

Which values should I enter?

Enter Degrees, Minutes, Seconds using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: Decimal degrees = sign(Degrees) × (|Degrees| + Minutes ÷ 60 + Seconds ÷ 3600).

Why might my result differ from another source?

Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.

Does the result update automatically?

Yes. Changing an input updates the result using the same calculation engine shown on this page.

Page information

Updated: October 8, 2026