A proportion is an equation that states that two ratios are equal. To determine whether Option 1 or Option 2 is a proportion, we should compare the ratios on each side of the equation.
Option 1: \( \frac{7}{8} = \frac{20}{22} \)
To check if these ratios are equal, we can cross-multiply:
\( 7 \times 22 = 154 \)
\( 8 \times 20 = 160 \)
Since \( 154 \neq 160 \), \( \frac{7}{8} \neq \frac{20}{22} \), making Option 1 not a proportion.
Option 2: \( \frac{7}{8} = \frac{21}{24} \)
Again, we cross-multiply:
\( 7 \times 24 = 168 \)
\( 8 \times 21 = 168 \)
Since \( 168 = 168 \), \( \frac{7}{8} = \frac{21}{24} \), making Option 2 a proportion.
Therefore, Option 2 is the correct proportion.
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