Degrees, Minutes, and Seconds to Decimal Conversion Calculator

Enter degrees, minutes, and seconds to convert them to degrees in decimal form.

Angle:
°

Result:

60.5875°


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How to Convert Degrees, Minutes, & Seconds to Decimal

Degrees can be expressed with minutes and seconds or in decimal form. One degree is equal to 60 minutes or 3,600 seconds.

To find the degrees in decimal form, find the decimal value of degrees for the minutes and seconds and then add them to the degrees.

Minutes are expressed using the prime symbol (′). Minutes can be converted to decimal form by dividing them by 60, since there are 60 minutes in a degree.
decimal = minutes ÷ 60

Seconds are expressed using the double-prime symbol (″). Seconds can be converted to decimal form by dividing them by 3,600, since there are 3,600 seconds in a degree.
decimal = seconds ÷ 3,600

Putting these formulas together, it’s possible to convert to a decimal form using this formula:
decimal = degrees + (minutes ÷ 60) + (seconds ÷ 3,600)

For example, let’s convert 60° 35′ 15″ to decimal form.

decimal = 60 + (35′ ÷ 60) + (15″ ÷ 3,600)
decimal = 60 + 0.583333 + 0.004167
decimal = 60.5875°

Thus, 60° 35′ 15″ is equal to 60.5875°.

graphic showing how the equation to convert degrees, minutes, and seconds to decimal works