1 = 1 second
1.5 = 1.500 seconds
1.75 = 1.750 seconds
67.26 = 1 min + 7.260 seconds
Still related to math:
Fractions of Degrees
There are two methods of expressing fractions of degrees.
- The first method divides each degree into 60 minutes (1° = 60'), then each minute into 60 seconds (1' = 60"). For example, you may see the degrees of an angle stated like this: 37° 42' 17"
The symbol for degrees is ° , for minutes is ', and for seconds is ".
- The second method states the fraction as a decimal of a degree. This is the method we will use. An example is 37° 42' 17" expressed as 37.7047° .
To convert degrees, minutes, and seconds (DMS) to degrees and decimals of a degree (DD):
- First: Convert the seconds to a fraction.
Since there are 60 seconds in each minute, 37° 42' 17" can be expressed as
37° 42 17/60'. Convert to 37° 42.2833'.
- Second: Convert the minutes to a fraction.
Since there are 60 minutes in each degree, 37° 42.2833' can be expressed as
37 42.2833/60° . Convert to 37.7047° .
To convert degrees and decimals of degrees (DD) to degrees, minutes, and seconds (DMS), referse the previous process.
First: Subtract the whole degrees. Convert the fraction to minutes. Multiply the decimal of a degree by 60 (the number of minutes in a degree). The whole number of the answer is the whole minutes.
Second: Subtract the whole minutes from the answer.
Third: Convert the decimal number remaining (from minutes) to seconds. Multiply the decimal by 60 (the number of seconds in a minute). The whole number of the answer is the whole seconds.
Fourth: If there is a decimal remaining, write that down as the decimal of a second.
Example: Convert 5.23456° to DMS.
5.23456° - 5° = 023456° 5° is the whole degrees
0.23456° x 60' per degree = 14.0736' 14 is the whole minutes
0.0736' x 60" per minutes = 4.416" 4.416" is the seconds
DMS is stated as 5° 14' 4.416"