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A ratio shows the relationship between two quantities. You write it often with a colon as

a : b

and you call it the quotient of a and b.



In general you can write

   numerator   =   dividend   = quotient = fraction = ratio
 denominator    divisor 


Example 1

Ratios can be calculated by cross-multiplication

a : b = c : d

gives then

a × d = b × c


Example 2

Two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities

where a > b > 0.


Example 3

The number π = 3.1415… describes the ratio between the circumference and the diameter of a circle

    π =   circumference 

en kan door geen enkel paar gehele getallen worden weergegeven. It is a transcendental number.


Example 4

The number √2 = 1,4142... is the ratio between the side and the diameter of a square, and cannot be written by any pair of whole numbers. It is an irrational number.


Example 5

A probability is the ratio between the number of favorable outcomes and the number of possible outcomes

    P(G) =  number of favorable outcomes
 number of possible outcomes


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