To solve the division of fractions \( \frac{2}{3} \div \frac{3}{5} \), you can multiply by the reciprocal of the second fraction.
The reciprocal of \( \frac{3}{5} \) is \( \frac{5}{3} \).
So, the expression becomes:
\[ \frac{2}{3} \times \frac{5}{3} \]
Now multiply the numerators and the denominators:
\[ \frac{2 \times 5}{3 \times 3} = \frac{10}{9} \]
Thus, \( \frac{2}{3} \div \frac{3}{5} = \frac{10}{9} \).