# 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

)Compare ,
Solution:
For ratios
We have and

) Compare
Solution:
For ratios
We have,
and
But