Write the ratio that compares 36 social media post to 16 social media posts using factional notation. Simplify the improper fraction to lowest terms.

Answer 1

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'll simplify this fraction. To do so, we need to find the greatest common divisor (GCD) of the numerator (36) and the denominator (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 greatest common divisor of 36 and 16 is 4. We can now 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:

\[ \frac{9}{4} \]