To find the quotient of \( \frac{9}{10} \) and \( \frac{2}{3} \), you divide \( \frac{9}{10} \) by \( \frac{2}{3} \).
Dividing by a fraction is equivalent to multiplying by its reciprocal. So, we can rewrite the expression as follows:
\[ \frac{9}{10} \div \frac{2}{3} = \frac{9}{10} \times \frac{3}{2} \]
Now, multiply the fractions:
\[ \frac{9 \times 3}{10 \times 2} = \frac{27}{20} \]
Thus, the quotient of \( \frac{9}{10} \) and \( \frac{2}{3} \) is
\[ \frac{27}{20} \]
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