To find the quotient of \( \frac{9}{10} \) and \( \frac{2}{3} \), you can divide \( \frac{9}{10} \) by \( \frac{2}{3} \). This can be done by multiplying \( \frac{9}{10} \) by the reciprocal of \( \frac{2}{3} \):
\[ \frac{9}{10} \div \frac{2}{3} = \frac{9}{10} \times \frac{3}{2} \]
Now, multiply the numerators and the denominators:
\[ = \frac{9 \times 3}{10 \times 2} = \frac{27}{20} \]
Therefore, the quotient of \( \frac{9}{10} \) and \( \frac{2}{3} \) is \( \frac{27}{20} \).
Among the options provided, the correct response is:
2720
Start Fraction 27 over 20 End Fraction