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In unit analysis, conversions are expressed as a ratio that is equivalent to 1. Instead of saying:

1 meter = 39.37 inches

you say:

1 = 39.37 inches / 1 meter

This way when you want to convert, say 12 meters to inches, you just multiply as follows:

12 meters x (39.37 inches / 1 meter)

which is the same as multiplying by 1.

This is then reformulated as:

(12 x 39.37 meter inches) / 1 meter

Then you cancel out the meters from the numerator and the denominator as follows:

(12 x 39.37 meter inches) / 1 meter

And do the remaining math:

12 x 39.37 inches / 1 = 472.44 inches

The nice thing about doing it this way is that the "units" of your answer are automatically determined by doing the math.

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