A ratio uses division to compare two quantities.
ratio
Division
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.
Derived quantities are physical quantities that are calculated from two or more base quantities. They are expressed as a combination of base units using mathematical operations such as multiplication, division, and exponentiation. Examples of derived quantities include velocity (derived from distance and time) and density (derived from mass and volume). These derived quantities play a crucial role in physics and other sciences for describing and understanding complex relationships between different physical quantities.
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.
Put the 'per' number in the denominator of the fraction.
That's a rate, or more commonly, a ratio.
The quotient of two quantities called 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.