To determine which option represents a proportion, we need to understand that a proportion is an equation that states that two ratios are equal.
Option 1: It appears to be written as: \[ \frac{5}{6} = \frac{15}{18} \]
To check if this is a proportion, we can simplify both fractions.
- Simplifying \(\frac{15}{18}\): \[ \frac{15 \div 3}{18 \div 3} = \frac{5}{6} \]
Since both sides simplify to \(\frac{5}{6}\), Option 1 is indeed a proportion.
Option 2: It is written as: \[ \frac{5}{6} = \frac{20}{18} \]
Now we simplify \(\frac{20}{18}\): \[ \frac{20 \div 2}{18 \div 2} = \frac{10}{9} \]
Since \(\frac{5}{6}\) is not equal to \(\frac{10}{9}\), Option 2 is not a proportion.
So, Option 1 is the proportion.