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In a ratio of measurements for the same kinds of units, units get canceled. For example, in a ratio of 3 meters / 8 meters, you can cancel the "meters" in the numerator and the denominator. An important ratio is pi, which is the ratio of the circumference of a circle to its diameter. If you measure the circumference in feet, and the diameter in feet, then divide circumference/diameter, then the result is the dimensionless quantity 3.14159265.... If you go back and measure both in meters, you get the same answer.
In a ratio of two measurements, the units cancel, so it makes no difference whether you write the units, or not.

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