\begin{tabular}{l} Question \\ Determine whether the equation is a proportion: \( \frac{3.5}{13.5}=\frac{14}{54} \). \\ Select the correct answer below: \\ Yes, the equation is a proportion. \\ No, the equation is not a proportion. \\ \hline\end{tabular}

To determine whether the equation \( \frac{3.5}{13.5}=\frac{14}{54} \) is a proportion, we need to check if the two fractions are equal. 1. **Calculate the left side**: \( \frac{3.5}{13.5} \) 2. **Calculate the right side**: \( \frac{14}{54} \) Let's perform these calculations step by step. ### Step 1: Calculate \( \frac{3.5}{13.5} \) \[ \frac{3.5}{13.5} \] ### Step 2: Calculate \( \frac{14}{54} \) \[ \frac{14}{54} \] Now, I will calculate both fractions to see if they are equal. Calculate the value by following steps: - step0: Calculate: \(\frac{14}{54}\) - step1: Reduce the fraction: \(\frac{7}{27}\) Calculate or simplify the expression \( 3.5/13.5 \). Calculate the value by following steps: - step0: Calculate: \(\frac{3.5}{13.5}\) - step1: Convert the expressions: \(\frac{\frac{7}{2}}{\frac{27}{2}}\) - step2: Multiply by the reciprocal: \(\frac{7}{2}\times \frac{2}{27}\) - step3: Reduce the numbers: \(7\times \frac{1}{27}\) - step4: Multiply: \(\frac{7}{27}\) The calculations yield the following results: 1. \( \frac{3.5}{13.5} = 0.\dot{2}5\dot{9} \) (which is approximately \( 0.259 \)) 2. \( \frac{14}{54} = 0.\dot{2}5\dot{9} \) (which is also approximately \( 0.259 \)) Since both fractions are equal, we can conclude that: \[ \frac{3.5}{13.5} = \frac{14}{54} \] ### Conclusion Yes, the equation is a proportion.