Find the quotient of 9/10 and 2/3.
1. 20/27
2. 27/20
3. 30/18
4. 18/30
To find the quotient of two fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 2/3 is 3/2.
So, you should calculate:
(9/10) * (3/2) = (9*3)/(10*2) = 27/20
The correct answer is option 2.
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, we have:
(9/10) ÷ (2/3)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(9/10) * (3/2)
To multiply fractions, we multiply the numerators together and the denominators together:
(9 * 3) / (10 * 2)
This simplifies to:
27/20
So, the quotient of 9/10 and 2/3 is 27/20. Therefore, the correct answer is 2. 27/20.
To find the quotient of two fractions, you need to divide the numerator of the first fraction by the denominator of the second fraction.
So, to find the quotient of 9/10 and 2/3, you multiply 9/10 by the reciprocal of 2/3, which is 3/2.
(9/10) * (3/2) = (9 * 3) / (10 * 2) = 27/20
Therefore, the correct answer is 27/20.