To find the quotient of \( \frac{9}{10} \) and \( \frac{2}{3} \), we divide \( \frac{9}{10} \) by \( \frac{2}{3} \):
\[ \frac{9}{10} \div \frac{2}{3} = \frac{9}{10} \times \frac{3}{2} \]
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 \( \frac{27}{20} \).
Looking at the options provided:
- A) \( \frac{18}{30} \)
- B) \( \frac{27}{20} \)
- C) 2027
- D) \( \frac{30}{18} \)
The correct answer is B) \( \frac{27}{20} \).
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