Find equivalent fractions to compare. Then, write \( >,< \), or \( = \). \( \begin{array}{l}\frac{3}{5} ? \frac{3}{6} \\ \quad= \\ \\ \quad \frac{3}{5}-\frac{3}{6}\end{array} \)

To compare the fractions \( \frac{3}{5} \) and \( \frac{3}{6} \), we can find equivalent fractions by converting them to a common denominator. The least common multiple of 5 and 6 is 30. For \( \frac{3}{5} \), multiply the numerator and denominator by 6: \[ \frac{3}{5} = \frac{3 \times 6}{5 \times 6} = \frac{18}{30} \] For \( \frac{3}{6} \), multiply the numerator and denominator by 5: \[ \frac{3}{6} = \frac{3 \times 5}{6 \times 5} = \frac{15}{30} \] Now we can compare \( \frac{18}{30} \) and \( \frac{15}{30} \). Since 18 is greater than 15, we can write: \[ \frac{3}{5} > \frac{3}{6} \] And if we compute \( \frac{3}{5} - \frac{3}{6} \): \[ \frac{3}{5} - \frac{3}{6} = \frac{18}{30} - \frac{15}{30} = \frac{3}{30} = \frac{1}{10} > 0 \] Thus, the final statement is: \[ \frac{3}{5} > \frac{3}{6} \]