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