1. Are \(\frac{2}{3}\) and \(\frac{4}{6}\) equivalent? Show your thinking, using diagrams, symbols, or other representations.
2. Are \(\frac{6}{8}\) and \(\frac{7}{8}\) equivalent? Show your thinking, using diagrams, symbols, or other representations.

Han says there is no fraction with denominator 8 that's greater than \(\frac{8}{8}\) because \(\frac{8}{8}\) is equivalent to 1. Do you agree with Han? Explain your reasoning.

Use the symbol > or < to make each statement true. Explain your reasoning.

1. \(\frac{5}{3} \, \underline{\phantom{\frac{1}{1}\hspace{1.05cm}}} \, \frac{5}{2}\)
2. \(\frac{3}{4} \, \underline{\phantom{\frac{1}{1}\hspace{1.05cm}}} \, \frac{5}{4}\)

1. Jada threw the ball \(\frac{3}{4}\) of the length of the gym. Clare threw the ball \(\frac{6}{8}\) of the length of the same gym. Clare says she threw the ball farther. Do you agree? Show your thinking.
2. Tyler kicked the ball \(\frac{5}{8}\) the length of the playground. Andre kicked the ball \(\frac{5}{6}\) the length of the same playground. Andre says he kicked the ball farther. Do you agree? Show your thinking.

Clare walked \(\frac{3}{4}\) of the way around a park. Tyler walked \(\frac{3}{6}\) of the way around a different park. Who walked farther? Explain your reasoning.

Choose 1 fraction that you can compare with both \(\frac{3}{8}\) and \(\frac{5}{6}\) because it has the same numerator or the same denominator.