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Here is a "safe" way to do ANY unit conversion - "safe" in the sense that you are unlikely to get a wrong answer. This works for ANY units of the same type, not just weight or mass.Let's assume, for example, that you want to convert 37 meters to millimeters. You know that 1 meter = 1000 millimeter. What you do is multiply the 37 meters by a fraction that is equal to one; the fraction contains both units:

37 m x 1000 mm/1m

The meters cancel, so you are left only with 37,000 mm.

By the way, if you multiply with the reciprocal (in the above example, 1 m / 1000 mm), the units DON'T cancel, and you get units of square meters / mm, which is technically correct, but useless. If you are not sure, you can try it both ways.

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