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

Responses

20/27
Start Fraction 20 over 27 End Fraction

18/30
Start Fraction 18 over 30 End Fraction

30/18

Start Fraction 30 over 18 End Fraction

To find the quotient of two fractions, you need to divide the numerator of the first fraction by the numerator of the second fraction, and divide the denominator of the first fraction by the denominator of the second fraction.

In this case, the first fraction is 9/10, and the second fraction is 2/3.

To find the quotient, divide 9 by 2 for the numerator and divide 10 by 3 for the denominator:

9 ÷ 2 = 4.5
10 ÷ 3 = 3.33 (rounded to the nearest hundredth)

Therefore, the quotient of 9/10 and 2/3 is approximately 4.5/3.33 or 20/27 when reduced.

To find the quotient of 9/10 and 2/3, we need to divide the numerator of the first fraction by the numerator of the second fraction and divide the denominator of the first fraction by the denominator of the second fraction.

The quotient is (9/10) ÷ (2/3).

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.

So, (9/10) ÷ (2/3) is the same as (9/10) * (3/2).

Now, let's multiply the numerators together and the denominators together.

The numerator is 9 * 3 = 27, and the denominator is 10 * 2 = 20.

Therefore, the quotient of 9/10 and 2/3 is 27/20.

So, the answer is: 27/20.