To find the quotient of \( \frac{9}{10} \) and \( \frac{2}{3} \), you can divide \( \frac{9}{10} \) by \( \frac{2}{3} \) by multiplying by the reciprocal of \( \frac{2}{3} \):
\[ \frac{9}{10} \div \frac{2}{3} = \frac{9}{10} \times \frac{3}{2} \]
Now, multiply the fractions:
\[ = \frac{9 \times 3}{10 \times 2} = \frac{27}{20} \]
So, the quotient of \( \frac{9}{10} \) and \( \frac{2}{3} \) is \( \frac{27}{20} \).
The correct response is:
27/20