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Really simple explanation, but all I have time for right now.
Gears are a way of gaining mechanical advantage. By using a larger gear to turn a smaller one, you turn that smaller gear multiple times for each turn of the first (larger) gear. This creates mechanical advantage, effectively increasing the torque being applied, at the cost of revolutions per unit of time.
The ratio (such as 1.57:1, as in your advantage) is how many turns of the second (usually smaller) gear per turn of the original (usually larger) gear. In rough terms, in equates to how much your torque will be multiplied.
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2017 1LT/RS A8 Hyper Blue Metallic
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