Definition of a Ratio and Ratio Analysis - A summary over topic in algebra

 Definition of a Ratio and Ratio Analysis - A summary over topic in algebra

 

 

Definition of a Ratio

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•  Ratio is the relation which one quantity bears to

another of the same kind with the comparison being

made by considering what part or parts one quantity

bears to another .

 

•  The general representation of a ratio is in the form of

 "A : B " .

 

•  The quantities involved in the expression are called

the terms of the ratio .

 

•  The term preceding the colon is called the

antecedent and the term following the colon sign is

called the consequent

 

•  To find what part A is of B's we divide A by B and it is

measured by the fraction A/B

 

•  A ratio is an abstract quantity that means it expresses

the number of times one quantity contains another

Quantity

 

•  By the laws of fraction :

a/b = (m*a)/(m*b)

and a/b= (a/m)/(b/m)

where , m is any number .

 

• This means that the value of a ratio remains unaltered

if the antecedent and the consequent are multiplied or

divided by the same quantity

 

• Two or more ratios can be compared by reducing

their equivalent fractions to a common denominator .

example: two ratios are provided a:b and x:y

commonising the denominators:

a:b=ay:by and x:y = bx/by