Ratio Calculator
Simplify ratios, solve proportions, and scale values. Perfect for math homework, cooking, photography, and design.
Common Ratios Reference
| Ratio | Typical Use |
|---|---|
| 1:1 | Square (Instagram, profile photo) |
| 4:3 | Classic TV, old monitors, iPad |
| 3:2 | DSLR photo, 35mm film |
| 16:9 | HD/4K TV, YouTube, Zoom |
| 9:16 | Mobile portrait, Reels, TikTok |
| 8:5 | MacBook display (1.6:1) |
| 21:9 | Ultrawide monitor |
| 2:1 | Panorama, Twitter/X header |
| 3:1 | Letterbox / panoramic film |
| 8:13 | Golden ratio approx. (≈ 1:1.618) |
Frequently Asked Questions
Find the GCD (greatest common divisor) of 6 and 9, which is 3. Divide both by 3: 6÷3=2 and 9÷3=3. So 6:9 simplified is 2:3. In general, divide both numbers by their GCD to get the simplest form.
Use cross-multiplication: 3:4 = 6:x means 3 × x = 4 × 6 = 24, so x = 24 ÷ 3 = 8. The answer is x = 8. You can verify: 3:4 and 6:8 both simplify to 3:4.
The golden ratio (φ ≈ 1.618) is approximately 8:13 in whole numbers (a Fibonacci pair). It appears in art, architecture, and nature. Ancient Greeks used it for the Parthenon's proportions, and it appears in nautilus shells, sunflower seed spirals, and Renaissance paintings.
16:9 means for every 16 units of width there are 9 units of height. This is the standard widescreen format for HD (1280×720), Full HD (1920×1080), and 4K (3840×2160) displays. Compared to the old 4:3 format, 16:9 shows 78% more horizontal content.