To find the quotient of \( \frac{3}{5} \) divided by \( \frac{2}{3} \), you can multiply \( \frac{3}{5} \) by the reciprocal of \( \frac{2}{3} \).
The reciprocal of \( \frac{2}{3} \) is \( \frac{3}{2} \).
So, the calculation is:
\[ \frac{3}{5} \div \frac{2}{3} = \frac{3}{5} \times \frac{3}{2} \]
Now, multiply the numerators and the denominators:
\[ \frac{3 \times 3}{5 \times 2} = \frac{9}{10} \]
Thus, the quotient \( \frac{3}{5} \div \frac{2}{3} \) is \( \frac{9}{10} \).