Aspect Ratio Calculator
A ratio compares two or more quantities of the same kind. Written as a:b or a/b. Ratios are used in recipes (3:1 flour to water), maps (1:50,000), financial analysis (P/E ratio), and mixing (2-stroke fuel). A proportion is an equation stating two ratios are equal.
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Tip: Cross multiplication solves proportions: if 3/4 = x/12, then 3×12 = 4×x → x = 36/4 = 9. Also useful for unit conversion: x miles / y km = 1 mile / 1.609 km → solve for x.
- 1Simplify by dividing by GCF: 12:8 = 3:2
- 2Part-to-part: ratio of boys to girls in a class
- 3Part-to-whole: boys to total students (gives fraction/percentage)
- 4Proportion: if a/b = c/d, then ad = bc (cross multiplication)
Ratio 15:25=3:5 (simplified)GCF of 15 and 25 = 5
Recipe: 3:2:1 flour:water:oil for 600g total=300g flour, 200g water, 100g oil3+2+1=6 parts; 600/6=100g per part
| Context | Example ratio | Meaning |
|---|---|---|
| Finance (P/E) | 20:1 | Share price = 20× annual earnings |
| Maps | 1:50,000 | 1 cm = 500 m in reality |
| Camera aperture | f/2.8 | Focal length / aperture diameter |
| Concrete mix | 1:2:3 | Cement:sand:aggregate by volume |
| Audio mixing | 4:1 | Compression ratio |
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Fun Fact
The aspect ratio 16:9 used by modern TVs and monitors was chosen by researcher Kerns Powers in 1984 as the geometric mean of four earlier standards (4:3, 2.39:1 cinema, etc.) — it fits all formats with minimum black bars.
References
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