Introduction to Ratios

Maths

definition

Antecedent and Consequent.

Ratio of two quantities and is the fraction and we write it as
is called as the first term or antecedent.
the second term or consequent.
Example:
 i) The ratio has antecedent and consequent

example

Calculate ratios of two given quantities.

To find the ratio of two quantities,  remember the following points:
  • The quantities should be of the same type.
  • Their units should be same.
  • Represent the ratio as a fraction.
  • Reduce the fraction to its simplest form.                                                      
Example: Find the ratio of 54 minutes to 2 hours in its simplest form
Solution:
Both the quantities represent time, hence they are of the same type.
We first convert both the quantities in same units i.e. minutes.
hours


                                       

                                       
                                      
, the ratio is

law

Comparison of Ratios

Consider two ratios and  ....where  
Use the following conditions to compare the two ratios.
  1. If then
  2. If then
  3. If then

example

Solved Example on Comparison of Two Ratios

)Compare ,
Solution:
For ratios
We have and



) Compare
Solution:
For ratios
We have,
and
But