Explain in detail the difference between cardinal and ordinal numbers using real life examples.

First, we have $8\frac{2}{16}$. This means 8 whole parts and $\frac{2}{16}$ of another part.
To make it all one fraction, we multiply the whole number (8) by the bottom number of the fraction (16), and then add the top number (2).
$8 \times 16 = 128$
$128 + 2 = 130$
So, $8\frac{2}{16}$ is the same as $\frac{130}{16}$.
Our ratio is now $\frac{130}{16} : 2$.

We can write 2 as $\frac{2}{1}$.
So the ratio is $\frac{130}{16} : \frac{2}{1}$.

To do this, we want to make the bottom numbers (denominators) the same. The smallest number that both 16 and 1 can divide into is 16.
The first fraction is already $\frac{130}{16}$.
For the second fraction, $\frac{2}{1}$, we multiply the top and bottom by 16:
$\frac{2 \times 16}{1 \times 16} = \frac{32}{16}$.
Now our ratio is $\frac{130}{16} : \frac{32}{16}$.
Since both fractions have the same bottom number, we can just look at the top numbers: $130 : 32$.

We have the ratio $130 : 32$. We need to find a number that can divide evenly into both 130 and 32.
Both numbers are even, so we can divide both by 2.
$130 \div 2 = 65$
$32 \div 2 = 16$
So the ratio becomes $65 : 16$.

Now we have $65 : 16$.
Can we divide both 65 and 16 by the same number?
Factors of 16 are 1, 2, 4, 8, 16.
65 cannot be divided evenly by 2, 4, 8, or 16.
So, $65 : 16$ is the simplest form.