A **decimal degrees to degrees minutes seconds converter** is used to convert geographic coordinates from decimal degrees format to the more traditional degrees, minutes, and seconds (**DMS**) format.

**Here are some sample conversions:**

- 45.5° = 45° 30′ 0″
- -122.6819° = 122° 40′ 54.84″ W
- 0.7853° = 0° 47′ 7.08″

## Decimal Degrees to Degrees Minutes Seconds Calculator

Decimal Degrees | DMS Format | Conversion Equation | Usage Purpose |
---|---|---|---|

40.7128° N | 40° 42′ 46.08″ N | D = 40, M = 0.7128 60 = 42.768, S = 0.768 60 = 46.08 | Mapping New York City coordinates |

-74.0060° | 74° 0′ 21.6″ W | D = 74, M = 0.0060 60 = 0.36, S = 0.36 60 = 21.6 | Navigating to a specific longitude in NYC |

51.5074° N | 51° 30′ 26.64″ N | D = 51, M = 0.5074 60 = 30.444, S = 0.444 60 = 26.64 | Locating London’s latitude |

0.1275° E | 0° 7′ 39″ E | D = 0, M = 0.1275 60 = 7.65, S = 0.65 60 = 39 | Precision mapping near the Prime Meridian |

-33.8688° | 33° 52′ 7.68″ S | D = 33, M = 0.8688 60 = 52.128, S = 0.128 60 = 7.68 | Identifying Sydney’s latitude |

**Decimal degrees** represent latitude and longitude as a single number, where the whole number part represents degrees, and the fractional part represents minutes and seconds. For example, 40.7128° N represents a latitude of 40 degrees and 0.7128 of a degree.

**Degrees Minutes Seconds (DMS)** format, on the other hand, breaks down the coordinate into three parts: degrees (°), minutes (‘), and seconds (“). For instance, the same latitude of 40.7128° N would be expressed as 40° 42’ 46” N in DMS format.

## Decimal Degrees to Degrees Minutes Seconds Formula

The formula to convert decimal degrees to degrees, minutes, and seconds is as follows:

**Degrees**= The integer part of the decimal degree**Minutes**= (Decimal degree – Degrees) * 60**Seconds**= (Minutes – integer part of Minutes) * 60

Let’s break down this formula with an example:

Convert 45.5° to DMS:

**Degrees**= 45 (integer part of 45.5)**Minutes**= (45.5 – 45)*60 = 0.5*60 = 30**Seconds**= (30 – 30)*60 = 0*60 = 0

Therefore, 45.5° = 45° 30′ 0″

Another example:

Convert -122.6819° to DMS:

**Degrees**= 122 (absolute value of the integer part)**Minutes**= (|-122.6819| – 122)*60 = 0.6819*60 = 40.914**Seconds**= (0.914) * 60 = 54.84

-122.6819° = 122° 40′ 54.84″ W (The negative sign indicates West for longitude)

## How do you convert decimal degrees to degrees minutes seconds?

To convert decimal degrees to degrees minutes seconds, follow these steps:

**Extract the degrees**: Take the integer part of the decimal degree. This becomes your degrees value.**Calculate minutes**: Multiply the remaining decimal portion by 60. The integer part of this result becomes your minutes value.**Calculate seconds**: Take the remaining decimal portion from step 2, multiply it by 60. This result, rounded to the desired precision, becomes your seconds value.**Determine direction**: For latitude, positive values are North (N), negative values are South (S). For longitude, positive values are East (E), negative values are West (W).

Let’s convert 37.7749° N to DMS as an example:

**Degrees**: 37**Minutes**: (0.7749 * 60) = 46.494- Integer part: 46

**Seconds**: (0.494 * 60) = 29.64- Rounded to two decimal places: 29.64

Therefore, 37.7749° N = 37° 46′ 29.64″ N

## How to convert degree to degree and minutes?

Its simplified version of the DMS conversion. Here’s how to do it:

**Extract the degrees**: Take the integer part of the decimal degree.**Calculate minutes**: Multiply the remaining decimal portion by 60. Round this result to the desired precision.**Determine direction**: Use the same rules as in the full DMS conversion.

For example, let’s convert 45.75° to degrees and minutes:

**Degrees**: 45**Minutes**: (0.75 * 60) = 45

Therefore, 45.75° = 45° 45′

## What is the angle of 30.283 into a degree minute second format?

Let’s convert 30.283° to DMS format:

**Degrees**: 30 (integer part of 30.283)**Minutes**: (0.283 * 60) = 16.98- Integer part: 16

**Seconds**: (0.98 * 60) = 58.8- Rounded to one decimal place: 58.8

**Therefore, 30.283° = 30° 16′ 58.8″**

# How do you convert decimal minutes to seconds?

Here’s a step-by-step process:

- Identify the whole number of minutes.
- Isolate the decimal portion of the minutes.
- Multiply the decimal portion by 60.
- Round the result to the desired precision.

For example, let’s convert 30.5 minutes to minutes and seconds:

- Whole minutes: 30
- Decimal portion: 0.5
- 0.5 * 60 = 30 seconds

**30.5 minutes = 30 minutes 30 seconds**

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