Compression is squeezing something so that it occupies a smaller space. Ratio is the proportion between two quantities or numerical values. Click the link for a detailed explanation. Explanation below!
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Therefore a Compression Ratio is the ratio between original and compressed volumes of, normally, a gas, such as the fuel-air mixture in a vehicle engine cylinder.
If the starting volume in the cylinder is 100cc and the piston then rises and compresses the gas to 10cc then the compression ratio is 100:10, which we then simplify to 10:1. (Read the colon as the Word "to".)
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