what is it
Its an inequality
To compare to different units of measurement or a ratio that compares two quantities of different units (Ex: A car goes 100 miles in 1.5 hours, what is the rate)
The ratio between two different quantities is the rate.Usually, the second unit is a measure of time.
A ratio of two quantities that are measured using different measurement units is a third physical quantity that inherits the dimensions from the parents. examples: ratio between space s (meter) and time t (second) is velocity v=s/t measured in meters/second ratio between energy E (Joule) and time t (seconds) is power (P) measured in Joules/second ratio between heat Q (Joule) and Temperature T (°K) is entropy S=Q/T measured in Joule/°K Different is the situation if we compare two measurements of the same time that are done in different measurement units. For example if we want to compare the distance between two cities measured in kilometers and the length of my bedroom measured in meters. In this case the result is an non dimensional ratio and to evaluate it the two measurements have to be converted in the same measurement unit. In the above example if the distance D between the cities is 100 km and the length of my bed room is L=8 meters the ratio has to be calculated as D/L (all in meters) = 100*1000/8=12500.
ratio that compares 2 quantities measured in diiferent units
what is it
Its an inequality
A conversion factor.
rate
A rate.
It is a ratio
Conversion factor.
A rate.
That is known as a unit rate.
There are many instances: for example, speed is measured in kilometres per hour where the ratio is measured between a distance (measured in kilometres) and time (measured in hours). So it is no big deal except that you need to mention the units.
A ratio expresses the relationshp between two quantities.