Theory:

In our day-to-day life, we use the ratio in various ways.
 
Now, we will get knowledge of how the ratio helps us to solve our real-life situations.
 
When two numbers are in the ratio of \(a\):\(b\), they can be represented as \(ax\) and \(bx\).
 
Because whatever the value we substitute as \(x\) in the expression will be equal to the original form.
 
That is \(ax:bx = a:b\).
 
axbx=ab
 
Where \(x \neq 0\).
 
Consider a ratio of two number 6\(:\)14, which can also be written as 6\(x:\)14\(x\).
 
6x:14x=6:146x14x=614
 
If \(x = 1\), then \(\frac{6}{14}\) \(=\) \(\frac{6}{14}\).
 
We will see some application-oriented problems on ratios to understand this concept clearly.