A proportion is an equation that states that two ratios are equal.
To evaluate the options given:
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Option 1: \( \frac{5}{6} = \frac{15}{18} \)
- First, simplify \( \frac{15}{18} \):
- Both numerator and denominator can be divided by 3:
- \( \frac{15 \div 3}{18 \div 3} = \frac{5}{6} \)
- Both numerator and denominator can be divided by 3:
- Therefore, \( \frac{5}{6} = \frac{15}{18} \) is true.
- First, simplify \( \frac{15}{18} \):
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Option 2: \( \frac{5}{6} = \frac{20}{18} \)
- Simplifying \( \frac{20}{18} \):
- Both numerator and denominator can be divided by 2:
- \( \frac{20 \div 2}{18 \div 2} = \frac{10}{9} \)
- Both numerator and denominator can be divided by 2:
- Therefore, \( \frac{5}{6} \) does not equal \( \frac{10}{9} \).
- Simplifying \( \frac{20}{18} \):
Thus, Option 1 is a proportion because it represents an equality between two equivalent ratios, while Option 2 is not a proportion as it does not hold true.