Decimal Degrees to DMS Converter — Formula

## Decimal Degrees to DMS

### Conversion Steps

1. **Degrees** = floor of the decimal degree value
2. **Minutes** = floor of (fractional part x 60)
3. **Seconds** = remaining fraction x 60

### Example

40.7128° = 40° 42' 46.08"

DMS format is commonly used on maps, in navigation, and for GPS coordinates.

Exemplo Resolvido

Convert 40.7128° (New York City latitude) to DMS.

  1. Degrees = 40
  2. Fractional = 0.7128 x 60 = 42.768 minutes
  3. Minutes = 42
  4. Seconds = 0.768 x 60 = 46.08 seconds
  5. Result: 40° 42' 46.08"