Find the quotient of 9/10 and 2/3.(1 point) Responses 20/27 Start Fraction 20 over 27 End Fraction 27/20 Start Fraction 27 over 20 End Fraction 18/30 Start Fraction 18 over 30 End Fraction 30/18

1 answer

To find the quotient of two fractions, you divide the first fraction by the second fraction. This can be expressed as:

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

Next, multiply the numerators and the denominators:

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

So, the quotient of \(\frac{9}{10}\) and \(\frac{2}{3}\) is \(\frac{27}{20}\).

The correct response is:

27/20 (or Start Fraction 27 over 20 End Fraction).

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