Subtracting Degrees and Minutes Calculator

How to Use This Calculator

To subtract two angles in degrees and minutes:

1. Enter the first angle in the "First Angle" field (degrees and minutes)
2. Enter the second angle in the "Second Angle" field (degrees and minutes)
3. Click "Calculate" to see the result
4. Use the "Reset" button to clear all fields

The calculator will automatically handle the conversion between degrees and minutes, ensuring accurate subtraction.

Formula Explained

When subtracting two angles in degrees and minutes, follow these steps:

1. Convert both angles to decimal degrees
2. Subtract the second angle from the first
3. Convert the result back to degrees and minutes

This ensures accurate handling of the 60-minute-per-degree system.

Worked Examples

Example 1: Simple Subtraction

Subtract 25°30' from 45°45'

1. Convert 45°45' to decimal: 45 + (45/60) = 45.75°
2. Convert 25°30' to decimal: 25 + (30/60) = 25.5°
3. Subtract: 45.75° - 25.5° = 20.25°
4. Convert back: 20° + (0.25 × 60) = 20°15'

Result: 20°15'

Example 2: Minute Borrowing

Subtract 15°40' from 30°25'

1. Convert 30°25' to decimal: 30 + (25/60) ≈ 30.4167°
2. Convert 15°40' to decimal: 15 + (40/60) ≈ 15.6667°
3. Subtract: 30.4167° - 15.6667° ≈ 14.75°
4. Convert back: 14° + (0.75 × 60) = 14°45'

Result: 14°45'