To write the ratio comparing 36 social media posts to 16 social media posts in fractional notation, we express it as:
\[ \frac{36}{16} \]
Next, we simplify the fraction to its lowest terms. We can 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 of 36 social media posts to 16 social media posts is:
\[ \frac{9}{4} \]