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

Responses

3018
Start Fraction 30 over 18 End Fraction

2027
Start Fraction 20 over 27 End Fraction

2720
Start Fraction 27 over 20 End Fraction

1830

1 answer

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

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