MasterTool

DMS to Decimal Degrees Converter

Calculate dms to decimal degrees instantly in your browser.

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What this tool does

Calculate dms to decimal degrees instantly in your browser. One degree is 60 arc-minutes and 3600 arc-seconds; GPS coordinates use S and W as negative values.

How to use the DMS to Decimal Degrees Converter

  1. Enter or select direction.
  2. Enter or select degrees.
  3. Enter or select minutes.
  4. Enter or select seconds.
  5. Enter or select decimal degrees.
  6. Enter or select sign / hemisphere.
  7. Read the calculated result; change any measurement to compare alternatives.

Formula

Decimal = degrees + minutes/60 + seconds/3600. In reverse, the fractional part × 60 gives minutes and the next fraction × 60 gives seconds.
mode
Direction
degrees
Degrees
minutes
Minutes
seconds
Seconds
decimal
Decimal degrees
sign
Sign / hemisphere

One degree is 60 arc-minutes and 3600 arc-seconds; GPS coordinates use S and W as negative values.

Worked example

For dms to decimal degrees converter, the following measurements illustrate the exact method: Direction: toDecimal; Degrees: 40; Minutes: 26; Seconds: 46; Decimal degrees: 40.446111; Sign / hemisphere: positive.

Inputs

  • DirectionDMS → decimal degrees
  • Degrees40
  • Minutes26
  • Seconds46
  • Decimal degrees40.446111
  • Sign / hemispherePositive (N / E)

Result

  • Decimal degrees40.45
  • Total minutes2,426.77
  • Total seconds145,606

Results explained

Decimal degrees
Decimal degrees from the formula above. One degree is 60 arc-minutes and 3600 arc-seconds; GPS coordinates use S and W as negative values.
Total minutes
Total minutes from the formula above. One degree is 60 arc-minutes and 3600 arc-seconds; GPS coordinates use S and W as negative values.
Total seconds
Total seconds from the formula above. One degree is 60 arc-minutes and 3600 arc-seconds; GPS coordinates use S and W as negative values.

Frequently asked questions

Decimal = degrees + minutes/60 + seconds/3600. In reverse, the fractional part × 60 gives minutes and the next fraction × 60 gives seconds.

One degree is 60 arc-minutes and 3600 arc-seconds; GPS coordinates use S and W as negative values.

Where mathematically meaningful, yes. Fields specify permitted ranges and undefined operations display an error.

Exact integer calculations use safe integers; decimal calculations use browser floating point, so small rounding differences can occur.

All values remain in your browser and are never uploaded.