Q:

# How do you convert DMS to a decimal?

A:

To convert degrees, minutes and seconds (DMS) to decimal format, use the whole number provided for degrees and add a decimal point. Then divide the minutes by 60 and the seconds by 3600 and add these two numbers together to get the remaining portion. Expressed as a formula, decimal degrees = degrees + (minutes/60 + seconds/3600).

## Keep Learning

As an example, for an angle 41 degrees, 51 minutes, 8 seconds, the conversion takes four steps:

1. Retain the whole number, 41, for degrees

2. Divide the 51 minutes by 60 to get 0.85

3. Divide the 8 seconds by 3600 to get 0.00222

4. Add 41 to 0.85 and 0.0022 to get the full decimal result of 41.85222

Converting from decimal to DMS requires a slightly different approach. For the decimal angle 41.8522, the steps would be as follows:

1. Retain the whole number, 41, for degrees

2. Multiply the decimal, 0.85222, by 60 to get 51.13657. The 51 is the number of minutes

3. Take the remaining fraction, 0.13657, and multiply by 60 to get 8.19396. The 8 is the number of seconds

In step 3, rounding to two decimal places may be all that is necessary, but it will often make sense to round to the nearest second.

Sources:

## Related Questions

• A: To divide a whole number by a decimal number, move the decimal point to the right in both numbers until the decimal is a whole number. Then, divide the num... Full Answer >
Filed Under:
• A: The protractor postulate states that the measurement of an angle between two rays can be designated as a unique number, and this number would be between 0 ... Full Answer >
Filed Under:
• A: Converting degrees from Fahrenheit to Celsius is accomplished by subtracting 32 from the original number in Fahrenheit. Next, divide the answer by 1.8 to g... Full Answer >
Filed Under:
• A: To convert degrees to radians, simply multiply the number of degrees by π /180°. Though pi can be converted into its decimal approximation 3.14, it is gene... Full Answer >
Filed Under:
PEOPLE SEARCH FOR