Conversion

Degrees Minutes Seconds Calculator

Convert decimal degrees to D° M' S".

Calculated Output

DMS 40° 41' 20.4"

Degrees (°) 40

Minutes (') 41

Seconds (") 20.4

Formula: split the fractional degree into minutes and seconds

Step-by-Step Breakdown

1. Values used:

2. Decimal degrees = 40.689 °

4. DMS = 40° 41' 20.4"

5. Degrees = 40°

6. Minutes = 41'

7. Seconds = 20.4"

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The math behind it

Degrees = whole part. Minutes = fractional degrees × 60 (whole). Seconds = leftover minutes × 60.

40.689° → 40° 41' 20.4".

Reverse?

decimal = degrees + minutes/60 + seconds/3600.