To find the quotient of \( \frac{9}{10} \) and \( \frac{2}{3} \), you can divide the two fractions by multiplying the first fraction by the reciprocal of the second fraction:
\[ \frac{9}{10} \div \frac{2}{3} = \frac{9}{10} \times \frac{3}{2} \]
Now, multiply the numerators and the denominators:
\[ = \frac{9 \times 3}{10 \times 2} = \frac{27}{20} \]
So, the quotient of \( \frac{9}{10} \) and \( \frac{2}{3} \) is \( \frac{27}{20} \).