To compare 36 social media posts to 16 social media posts using fractional notation, you write the ratio as:
\[ \frac{36}{16} \]
Now, we simplify the fraction. To do this, we need to find the greatest common divisor (GCD) of 36 and 16.
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 16 are: 1, 2, 4, 8, 16
The GCD of 36 and 16 is 4.
Now we divide both the numerator and the denominator by 4:
\[ \frac{36 \div 4}{16 \div 4} = \frac{9}{4} \]
Thus, the simplified ratio of 36 social media posts to 16 social media posts is:
\[ \frac{9}{4} \]