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Simply put, the numbers on the lens are only half of a fraction. The other half, f, is left off the barrels for simplicity. Apertures are in real life a fraction: the focal length (f) of a lens divided by the diameter of the aperture blades (D). So when we say f/22, it could mean 2.2727 on a 50mm lens ( 50 / 22 = 2.2727 ), or it could mean 9.0909 on a 200mm lens ( 200 / 22 = 9.0909).
On the same lens, say the 50mm, f/22 is smaller than f/11 or f/8 because mathematically, 50 / 22 is smaller than 50 / 11 and 5 / 8 ( 50 / 22 = 2.2727 < 50 / 11 = 4.5454 < 50 / 8 = 6.25 ).
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On the same lens, say the 50mm, f/22 is smaller than f/11 or f/8 because mathematically, 50 / 22 is smaller than 50 / 11 and 5 / 8 ( 50 / 22 = 2.2727 < 50 / 11 = 4.5454 < 50 / 8 = 6.25 ).
Click here for a more in-depth explanation.
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