\begin{tabular}{|}\( \frac{6}{\frac{7}{3}} \) \\ Simplify. \\ \hline\end{tabular}

To simplify \(\frac{6}{\frac{7}{3}}\), you can multiply by the reciprocal of the fraction in the denominator. This means you can rewrite it as \(6 \times \frac{3}{7}\), which gives you \(\frac{18}{7}\). So, the simplified form is \(\frac{18}{7}\), which is an improper fraction. If you'd like to express it as a mixed number, it would be \(2 \frac{4}{7}\). When you’re dealing with fractions, remember the golden rule: dividing by a fraction is the same as multiplying by its reciprocal! So, to avoid common mistakes, always check that you’re switching that denominator correctly; double-checking your calculations can save you from simple errors that turn a straight A into a B!