🖥️ Display
Aspect Ratio Calculator
Simplify a width and height to its aspect ratio, scale it to a new width and check pixel density. Press Calculate.
About the Aspect Ratio Calculator
An aspect ratio is the width divided by the height, reduced to whole numbers. 1920 × 1080 reduces to 16:9; 1440 × 1080 reduces to 4:3. The simplified ratio is useful for describing a display or a video frame, but the actual pixel count still matters for sharpness.
Scaling by aspect ratio keeps the shape. If 1920 × 1080 is scaled to 2560 wide, the height is 2560 × 9/16 = 1440. Pixel density (PPI) then uses the diagonal: √(w² + h²) ÷ diagonal inches. A 27-inch 1440p monitor is about 109 PPI; a 27-inch 4K monitor is about 163 PPI.
How the calculation works
- Ratio = width ÷ height.
- Simplified ratio = width:height after dividing by the greatest common divisor.
- New height = new width ÷ ratio.
- PPI = √(width² + height²) ÷ diagonal inches.
Reference values
| Resolution | Ratio | PPI at 27 in |
|---|---|---|
| 1280 × 720 | 16:9 | 54 |
| 1920 × 1080 | 16:9 | 82 |
| 2560 × 1440 | 16:9 | 109 |
| 3840 × 2160 | 16:9 | 163 |
| 3440 × 1440 | 21:9 | 110 |
| 5120 × 1440 | 32:9 | 111 |
Worked example: reducing and scaling a frame
A 2560 × 1080 ultrawide is 64:27, not exactly 21:9. Scaling a 1920 × 1080 frame to 1280 wide gives 720 high. A 4:3 slide at 1920 wide is 1440 high, so it needs 2.76 MP versus 2.07 MP for 16:9—a third more pixels for the same width.
The simplified ratio describes the shape, but the pixel count still matters. Two displays can share a 16:9 ratio while one is 720p and the other is 4K. Use the ratio for layout and the resolution for sharpness; neither replaces the other.
Cropping, letterboxing and pillarboxing
Fitting one ratio inside another always costs something. Letterboxing adds bars above and below to keep the full width, so a 16:9 video shown on a 4:3 screen loses height to black bars. Pillarboxing adds bars at the sides, which is what happens when 4:3 archive footage plays on a 16:9 television. Cropping fills the frame but discards part of the image, and the amount discarded grows with the mismatch: fitting 16:9 into 4:3 crops about 25% of the width, while fitting 4:3 into 16:9 crops about 25% of the height.
If the subject sits near an edge, crop from the side that matters least rather than centring blindly. For social video, keep titles and faces inside the middle 80% of the frame so a later crop to a square or vertical format does not cut them off.