Q: What a ratio of two measurements with different units?

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If the two measurements are of the same type, such as length, we could use that ratio to convert from one measurements to another. An example is the ratio of 1.609 Km to 1 mile. Here, we can multiply some number of miles by 1.609 and find the kilometer distance. If the two measurements are of different types, that is often used as a definition of another quantity such as speed. Speed is defined as the ratio of the distance traveled to the amount of time it takes. These two examples are the most common uses when taking the ratio of two measurements, yet there may be a more generalized term or theorem here, but I've not heard of it yet.

what is it

conversion factor

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.

Its an inequality

Related questions

Rate

rate

For two measurements to be a conversion factor, they must represent the same quantity but in different units. The ratio should equal 1 and can be written as a fraction where the units cancel out, allowing you to convert from one unit to another.

If you have two items using different units of measurement, you must first convert to the same type in to percentage. Then, you can compare the ratio, It is called coefficient of variability. For example if you want to compare length with weight of two variables or populations, then first convert the measurements in percentage and then go for comparision.

If the two measurements are of the same type, such as length, we could use that ratio to convert from one measurements to another. An example is the ratio of 1.609 Km to 1 mile. Here, we can multiply some number of miles by 1.609 and find the kilometer distance. If the two measurements are of different types, that is often used as a definition of another quantity such as speed. Speed is defined as the ratio of the distance traveled to the amount of time it takes. These two examples are the most common uses when taking the ratio of two measurements, yet there may be a more generalized term or theorem here, but I've not heard of it yet.

There is no real reason for two equivalent measurements to be rationed! The ratio of two equivalent measurements will depend on the units used. The ratio between a length in feet and the equivalent length in inches, for example, is 12:1.

Ration does not have units. You have to convert one of them to the same units and then work it out. For example: what is the ratio of 4m to 200cm ? This is the same as: 4m to 2m - so the answer is 2 to 1. (400cm to 200cm gives the same answer.)

They are different because a ratiocompares two different numbers or measurements from different units but the rate does not. They are similar because they both compare numbers. EX) ratio: 4/3 rate: 1.333 etc.

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.

conversion factor

what is it

A rate.