How do I convert decimal degrees to DMS?

Enter the decimal degree value (e.g., 45.5) and the converter will output degrees, minutes, and seconds. The integer part is degrees, the decimal part multiplied by 60 gives minutes, and the remaining decimal multiplied by 60 gives seconds.

How do I convert DMS to decimal degrees?

Enter the degrees, minutes, and seconds (e.g., 45° 30' 15") and the converter will output the decimal degree equivalent. The formula is: degrees + (minutes/60) + (seconds/3600).

Does the converter handle negative angles?

Yes, the converter supports signed decimal degrees and DMS values. Negative angles are handled correctly, with the sign applied to the degrees component.

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计算器: Degrees Minutes Seconds.

使用计算器: Degrees Minutes Seconds，根据输入获得清晰实用的结果。

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02 / 答案

Conversion direction

Sign

Degrees

MinutesUse 0 ≤ minutes < 60.

Use 0 ≤ minutes < 60.

SecondsUse 0 ≤ seconds < 60.

Use 0 ≤ seconds < 60.

Decimal degrees

DMS is an angle representation. Enter a sign explicitly for DMS input; no geographic datum, latitude, longitude, or hemisphere is inferred.

Cite this calculator

Canonical URL: https://mathify.one/zh/conversion/degrees-minutes-seconds

Cite as: Mathify. (n.d.). 计算器: Degrees Minutes Seconds. https://mathify.one/zh/conversion/degrees-minutes-seconds

Use Cases

Navigation and GPS Coordinates

Convert latitude and longitude coordinates between decimal degrees and DMS format for mapping, surveying, or GPS applications.

Example: Convert 38.8977° N, -77.0365° W to DMS.

Astronomy and Geodesy

Use the converter to switch between decimal degrees and DMS when working with celestial coordinates or geodetic data.

Example: Convert right ascension or declination values.

Frequently Asked Questions

How do I convert decimal degrees to DMS?: Enter the decimal degree value (e.g., 45.5) and the converter will output degrees, minutes, and seconds. The integer part is degrees, the decimal part multiplied by 60 gives minutes, and the remaining decimal multiplied by 60 gives seconds.
How do I convert DMS to decimal degrees?: Enter the degrees, minutes, and seconds (e.g., 45° 30' 15") and the converter will output the decimal degree equivalent. The formula is: degrees + (minutes/60) + (seconds/3600).
Does the converter handle negative angles?: Yes, the converter supports signed decimal degrees and DMS values. Negative angles are handled correctly, with the sign applied to the degrees component.

Tips & Common Mistakes

Tips

When entering DMS, ensure minutes and seconds are between 0 and 59.999... to avoid invalid values.
For negative decimal degrees, the sign applies to the whole angle; the DMS output will have a negative degrees value.
Use the converter to double-check manual calculations, especially when dealing with seconds rounding.
Remember that 1 degree equals 60 minutes, and 1 minute equals 60 seconds.

Common Mistakes to Avoid

Forgetting to convert minutes and seconds to decimal parts correctly: minutes/60 and seconds/3600.
Entering minutes or seconds greater than 59, which is invalid in DMS notation.
Misinterpreting the sign: a negative decimal degree should not have negative minutes or seconds.

Last updated: August 13, 2026