Convert decimal degrees to degrees, minutes, seconds

One degree (°) is equal to 60 minutes (') and equal to 3600 seconds ("):

1° = 60' = 3600"

The integer degrees (d) are equal to the integer part of the decimal degrees (dd):

d = integer (dd)

The minutes (m) are equal to the integer part of the decimal degrees (dd) minus integer degrees (d) times 60:

m = integer ((dd - d) × 60)

The seconds (s) are equal to the decimal degrees (dd) minus integer degrees (d) minus minutes (m) divided by 60 times 3600:

s = (dd - d - m/60) × 3600

Example

Convert 30.263888889° angle to degrees, minutes, and seconds:

d = integer (30.263888889°) = 30°

m = integer ((dd - d) × 60) = 15'

s = (dd - d - m/60) × 3600 = 50"

So

30.263888889° = 30° 15' 50"