- To compare 36 social media posts to 16 social media posts using fractional notation, you can write the ratio as:
\[ \frac{36}{16} \]
To simplify this improper fraction to lowest terms, divide both the numerator and the denominator by their greatest common divisor, which is 4:
\[ \frac{36 \div 4}{16 \div 4} = \frac{9}{4} \]
So, the simplified ratio is \(\frac{9}{4}\).
- To write the ratio \(12:36\) as an equivalent ratio of \(x:3\), first simplify \(12:36\):
\[ \frac{12}{36} = \frac{1}{3} \]
Now set up the equation:
\[ \frac{1}{3} = \frac{x}{3} \]
Since the denominators are the same, it follows that:
\[ x = 1 \]
Thus, \(12:36\) is equivalent to:
\[ 1:3 \]
- To write "4 is to 16 as 12 is to 48" as a proportion in fractional notation, you can represent it as:
\[ \frac{4}{16} = \frac{12}{48} \]
This is the required proportional notation without simplification.
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