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

Responses

2027
Start Fraction 20 over 27 End Fraction

1830
Start Fraction 18 over 30 End Fraction

3018
Start Fraction 30 over 18 End Fraction

2720
Start Fraction 27 over 20 End Fraction

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 is done by multiplying \( \frac{9}{10} \) by the reciprocal of \( \frac{2}{3} \).

The reciprocal of \( \frac{2}{3} \) is \( \frac{3}{2} \).

So, the calculation is:

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

Now performing the multiplication:

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

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

The correct response is:

Start Fraction 27 over 20 End Fraction.

Similar Questions
  1. Unit Rates with Ratios of Fractions Quick Check1 of 51 of 5 Items Question Find the quotient of 9/10 and 2/3 .(1 point)
    1. answers icon 1 answer
  2. Find the quotient of 910 and 23 .(1 point)Responses 2720 Start Fraction 27 over 20 End Fraction 3018 Start Fraction 30 over 18
    1. answers icon 1 answer
  3. Find the quotient of 910 and 23.(1 point)Responses 3018 Start Fraction 30 over 18 End Fraction 2027 Start Fraction 20 over 27
    1. answers icon 1 answer
  4. Find the quotient of 9/10 and 2/3 .(1 point)Responses 3018 Start Fraction 30 over 18 End Fraction 2720 Start Fraction 27 over 20
    1. answers icon 1 answer
more similar questions