To compare 36 social media posts to 16 social media posts using fractional notation, we can write the ratio as:
\[ \frac{36}{16} \]
Next, we simplify the fraction. We can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 36 and 16 is 4.
Now, we divide both numbers by 4:
\[ \frac{36 \div 4}{16 \div 4} = \frac{9}{4} \]
So, the simplified ratio of 36 social media posts to 16 social media posts is:
\[ \frac{9}{4} \]