Question

Find the quotient of 9/10 and 2/3 .(1 point)
Responses

30/18
Start Fraction 30 over 18 End Fraction

20/27
Start Fraction 20 over 27 End Fraction

18/30
Start Fraction 18 over 30 End Fraction

27/20
Start Fraction 27 over 20 End Fraction

Answer 1

To find the quotient of \( \frac{9}{10} \) and \( \frac{2}{3} \), we can divide \( \frac{9}{10} \) by \( \frac{2}{3} \). Dividing by a fraction is equivalent to multiplying by its reciprocal.

So, we have:

\[
\frac{9}{10} \div \frac{2}{3} = \frac{9}{10} \times \frac{3}{2}
\]

Now, multiply the fractions:

\[
= \frac{9 \times 3}{10 \times 2} = \frac{27}{20}
\]

Thus, the quotient of \( \frac{9}{10} \) and \( \frac{2}{3} \) is

\[
\frac{27}{20}
\]

The correct response is:

**27/20**
(Start Fraction 27 over 20 End Fraction)