To find the quotient of \( \frac{9}{10} \) and \( \frac{2}{3} \), you can divide \( \frac{9}{10} \) by \( \frac{2}{3} \). This is done by multiplying \( \frac{9}{10} \) by the reciprocal of \( \frac{2}{3} \).
The reciprocal of \( \frac{2}{3} \) is \( \frac{3}{2} \).
So, the calculation is:
\[ \frac{9}{10} \div \frac{2}{3} = \frac{9}{10} \times \frac{3}{2} \]
Now performing the multiplication:
\[ = \frac{9 \times 3}{10 \times 2} = \frac{27}{20} \]
Thus, the quotient of \( \frac{9}{10} \) and \( \frac{2}{3} \) is \( \frac{27}{20} \).
The correct response is:
Start Fraction 27 over 20 End Fraction.