To find the quotient of \( \frac{9}{10} \) and \( \frac{2}{3} \), you need to divide \( \frac{9}{10} \) by \( \frac{2}{3} \). When dividing fractions, you multiply by the reciprocal of the second fraction:
\[ \frac{9}{10} \div \frac{2}{3} = \frac{9}{10} \times \frac{3}{2} \]
Now, multiply the numerators and the denominators:
\[ \frac{9 \times 3}{10 \times 2} = \frac{27}{20} \]
Thus, the quotient of \( \frac{9}{10} \) and \( \frac{2}{3} \) is \( \frac{27}{20} \).
The correct response is:
27/20.
1 answer