A ratio uses division to compare two quantities.
Division
ratio
Rate is a comparison based on division.
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A quotient is the answer to a division problem. For example, the quotient of 15/5 is 3.
First the units of the two quantities should have the same category, e.g length units, or mass units, etc. Second: to convert the unit of one quantity to the same unit of the another quantity. third: to perform the comparison.
For the division of quantities
Put the 'per' number in the denominator of the fraction.
That's a rate, or more commonly, a ratio.
Division in mathematics is the inverse of multiplication. It involves the breaking down of a single set into separate smaller sets. It is finding how many times one quantity is contained in another or the ratio between the two quantities.
The quotient of two quantities called a ratio.