F-stop and aperture are by far the most complicated and most confusing aspects to exposure control and composition.
Let’s get the hard stuff out of the way first by going through definitions. F-stop is the ratio of the focal length to the aperture of a lens. Focal length is the distance from your camera’s sensor to the focusing element in your lens and aperture is the size of the hole that allows light in.
The question I get time and again is why there are no units on the f-scale. “My camera is set to f/5.6 but what does that mean?” Because f-stop is a ratio, there are no units associated with it. With the cameras we use, everything is measured in millimeters, but it could as easily be measured in feet or cubits. Regardless, ratios are always displayed without units because when you do the division to arrive at the number, the units cancel out. Ratios are also given in lowest terms.
This should help you understand it all better. The table below assumes you have a 50mm lens and displays the aperture sizes for common f-stops. Notice also that as the f-stop number increases, the size of the aperture decreases. This gets more confusing when you start looking at zoom lenses, which are lenses with variable focal lengths, but the principle is the same.

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