How can you use ratio reasoning to convert from one unit of weight or mass to another?

How can you use ratio reasoning to convert from one unit of weight or mass to another?
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Here is a "safe" way to do ANY unit conversion - "safe" in thesense that you are unlikely to get a wrong answer. This works forANY units of the same type, not just weight or mass.Let's assume,for example, that you want to convert 37 meters to millimeters. Youknow that 1 meter = 1000 millimeter. What you do is multiply the 37meters by a fraction that is equal to one; the fraction containsboth units:37 m x 1000 mm/1mThe meters cancel, so you are left only with 37,000 mm.By the way, if you multiply with the reciprocal (in the aboveexample, 1 m / 1000 mm), the units DON'T cancel, and you get unitsof square meters / mm, which is technically correct, but useless.If you are not sure, you can try it both ways.
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